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Indian numbering system
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{{short description|Indian convention of naming large numbers}} {{more citations needed|date=January 2018}} {{Contains special characters|Indic}}{{Use dmy dates|date=January 2020}} The '''Indian numbering system''' is used in [[India]], [[Pakistan]], [[Nepal]], [[Sri Lanka]], and [[Bangladesh]] to express large numbers, which differs from the [[International System of Units]]. Commonly used quantities include ''[[lakh]]'' (one hundred thousand) and ''[[crore]]'' (ten million) {{endash}} written as 1,00,000 and 1,00,00,000 respectively in some [[Locale (geographic)|locales]].<ref name="nroer">{{cite web|title=Knowing our Numbers|url=http://nroer.gov.in/nroer_team/file/readDoc/55b23f2881fccb054b6be25f/|website=Department Of School Education And Literacy|publisher=National Repository of Open Educational Resources|access-date=13 February 2016|archive-date=16 February 2016|archive-url=https://web.archive.org/web/20160216163129/http://nroer.gov.in/nroer_team/file/readDoc/55b23f2881fccb054b6be25f/|url-status=dead}}</ref> For example: 150,000 [[rupee]]s is "1.5 ''lakh'' rupees" which can be written as "1,50,000 rupees", and 30,000,000 (thirty million) rupees is referred to as "3 ''crore'' rupees" which can be written as "3,00,00,000 rupees". There are names for numbers larger than ''crore'', but they are less commonly used. These include ''arab'' (100 ''crore'', 10<sup>9</sup>), ''kharab'' (100 ''arab'', 10<sup>11</sup>), ''nil'' or sometimes [[Devanagari transliteration|transliterated]] as ''neel'' (100 kharab, 10<sup>13</sup>), ''padma'' (100 nil, 10<sup>15</sup>), ''shankh'' (100 padma, 10<sup>17</sup>), and ''mahashankh'' (100 shankh, 10<sup>19</sup>). In common parlance (though inconsistent), the ''lakh'' and ''crore'' terminology repeats for larger numbers. Thus ''lakh crore'' is 10<sup>12</sup>. In the ancient Indian system, still in use in regional languages of India, there are words for (10<sup>62</sup>). These names respectively starting at 1000 are ''sahasra'', ''ayuta'', ''laksha'', ''niyuta'', ''koti'', ''arbhudha'', ''abhja'', ''karva'', ''nikarva'', ''mahapadma'', ''shanmkhu'', ''jaladhi'', ''amtya'', ''madhya'', ''paraardha''. In the Indian system, now prevalent in the northern parts,{{Clarify|date=December 2023|reason=northern parts of what?}} the next powers of ten are one ''lakh'', ten ''lakh'', one ''crore'', ten ''crore'', one ''arab'' (or one hundred ''crore''), and so on. ==Multiples== The Indian system is [[decimal]] (base-10), same as in the [[International System of Units]], and the first five [[orders of magnitude]] are named in a similar way: one (10<sup>0</sup>), ten (10<sup>1</sup>), one hundred (10<sup>2</sup>), one thousand (10<sup>3</sup>), and ten thousand (10<sup>4</sup>). For higher powers of ten, naming diverges. The Indian system uses names for every ''second'' power of ten: ''lakh'' (10<sup>5</sup>), ''crore'' (10<sup>7</sup>), ''arab'' (10<sup>9</sup>), ''kharab'' (10<sup>11</sup>), etc. In the rest of the world, [[long and short scales]], there are names for every ''third'' power of ten. The short scale uses million (10<sup>6</sup>), billion (10<sup>9</sup>), trillion (10<sup>12</sup>), etc. ==Decimal formatting== The Indian system groups digits of a large decimal representation differently than the [[International System of Units]]. The Indian system does group the first three digits to the left of the decimal point, but thereafter, groups by two digits to align with the naming of quantities at multiples of 100.<ref>{{Cite web|url=https://www.unicode.org/reports/tr35/tr35-numbers.html#Special_Pattern_Characters|title=UNICODE LOCALE DATA MARKUP LANGUAGE (LDML) PART 3: NUMBERS|last=Emmons|first=John|date=2018-03-25|website=Unicode.org|archive-url=https://web.archive.org/web/20180725183458/https://www.unicode.org/reports/tr35/tr35-numbers.html#Special_Pattern_Characters|archive-date=2018-07-25|url-status=live|access-date=2018-03-25}}</ref> {|class="wikitable" style="clear:both;margin:1em auto;text-align:left" |- !Indian !Rest of the world |- |5,00,000 |500,000 |- |12,34,56,789 |123,456,789 |- |17,00,00,00,000 |17,000,000,000 |- |6,78,90,00,00,00,00,000 |6,789,000,000,000,000 |} Like English and other locales, the Indian system uses a [[Period (punctuation)|period]] as the [[decimal separator]] and the [[comma (punctuation)|comma]] for grouping, while others use a comma for decimal separator and a [[thin space]] or point to group digits.<ref>{{cite web |title=Decimal and Thousands Separators (International Language Environments Guide) |url=https://docs.oracle.com/cd/E19455-01/806-0169/overview-9/index.html |website=docs.oracle.com |access-date=29 April 2021}}</ref> ==Pronunciation in English== When speakers of indigenous Indian languages are speaking English, the pronunciations may be closer to their mother tongue; e.g. "lakh" and "crore" might be pronounced /lɑkʰ/, /kɑrɔːr/, respectively. * lakh /lɑːkʰ/ * crore /kɹɔːɹ/ (or /kɹoʊɹ/ in American English) * arab /ʌˈɾʌb/ * kharab /kʰʌˈɾʌb/ == Names of numbers == The table below includes the spelling and pronunciation of numbers in various Indian languages along with corresponding short scale names. <div style="overflow:auto"> {| class="wikitable" style="clear:both;margin:1em auto;text-align:left" |- ! Value ! Short scale ! Indian English ! [[Hindustani language|Hindustani]]<br>{{nowrap|[[Hindi]] / [[Urdu]]}} ! [[Marathi language|Marathi]] ! [[Bengali language|Bengali]] ! [[Odia language|Odia]] ! [[Nepali language|Nepali]] ! [[Tamil language|Tamil]] ! [[Telugu language|Telugu]] ! [[Kannada]] ! [[Malayalam]] |- | style="text-align:center" | 1 | one | one | {{lang|hi|एक}} / {{lang|ur|{{nq|ایک}}}}<br>({{translit|hi|ISO|ēk}}) | {{lang|mr|एक}}<br>({{translit|mr|ISO|ēk}}) | {{lang|bn|এক}}<br>({{translit|bn|ISO|êk}}) | {{lang|or|ଏକ}}<br>({{translit|or|ISO|ekå}}) | {{lang|ne|एक}}<br>({{translit|ne|ISO|ēk}}) | {{lang|ta|ஒன்று}}<br>({{translit|ta|ISO|oṉṟu}}) | {{lang|te|ఒకటి}}<br>({{translit|te|ISO|okaṭi}}) | {{lang|kn|ಒಂದು (ಬಿಡಿ)}}<br>({{translit|kn|ISO|ondu}}) | {{lang|ml|ഒന്ന്}}<br>({{translit|ml|ISO|onn}}) |- | style="text-align:center" | 10 | ten | ten | {{lang|hi|दस}} / {{lang|ur|{{nq|دس}}}}<br>({{translit|hi|ISO|das}}) | {{lang|mr|दहा}}<br>({{translit|mr|ISO|dahā}}) | {{lang|bn|দশ}}<br>({{translit|bn|ISO|dôś}}) | {{lang|or|ଦଶ}}<br>({{translit|or|ISO|dåśå}}) | {{lang|ne|दश}}<br>({{translit|ne|ISO|daś}}) | {{lang|ta|பத்து}}<br>({{translit|ta|ISO|pattu}}) | {{lang|te|పది}}<br>({{translit|te|ISO|padi}}) | {{lang|kn|ಹತ್ತು}}<br>({{translit|kn|ISO|hattu}}) | {{lang|ml|പത്ത്}}<br>({{translit|ml|ISO|patt}}) |- | style="text-align:center" | 10<sup>2</sup> | hundred | hundred | {{lang|hi|सौ}} / {{lang|ur|{{nq|سو}}}}<br>({{translit|hi|ISO|sau}}) | {{lang|mr|शंभर}}<br>({{translit|mr|ISO|śambhar}}) | {{lang|bn|শত}}<br>({{translit|bn|ISO|śato}}) | {{lang|or|ଶହେ}}<br>({{translit|or|ISO|śåhe}}) | {{lang|ne|सय}}<br>({{translit|ne|ISO|saya}}) | {{lang|ta|நூறு}}<br>({{translit|ta|ISO|nūṟu}}) | {{lang|te|వంద/నూరు}}<br>({{translit|te|ISO|vanda/nūru}}) | {{lang|kn|ನೂರು}}<br>({{translit|kn|ISO|nūru}}) | {{lang|ml|നൂറ്}}<br>({{translit|ml|ISO|nuṟ}}) |- | style="text-align:center" | 10<sup>3</sup> | thousand | thousand | हज़ार / {{lang|ur|{{nq|ہزار}}}}<br>({{translit|hi|ISO|hazār}}) | {{lang|mr|एक हजार}}<br>({{translit|mr|ISO|ēk hajār}}) | {{lang|bn|হাজার}}<br>({{translit|bn|ISO|hāzār}}) | {{lang|or|ହଜାର}}<br>({{translit|or|ISO|håjārå}})<br>{{lang|or|ସହସ୍ର}}<br>({{translit|or|ISO|såhåsrå}}) | {{lang|ne|एक हजार}}<br>({{translit|ne|ISO|ēk hajār}}) | {{lang|ta|ஆயிரம்}}<br>({{translit|ta|ISO|āyiram}}) | {{lang|te|వెయ్యి}}<br>({{translit|te|ISO|veyyi}}) | {{lang|kn|ಸಾವಿರ}}<br>({{translit|kn|ISO|sāvira}}) | {{lang|ml|ആയിരം}}<br>({{translit|ml|ISO|āyiraṁ}}) |- | style="text-align:center" | 10<sup>4</sup> | ten thousand | ten thousand | {{lang|hi|दस हज़ार}} / {{lang|ur|{{nq|دس ہزار}}}}<br>({{translit|hi|ISO|das hazār}}) | {{lang|mr|दहा हजार}}<br>({{translit|mr|ISO|dahā hajār}}) | {{lang|bn|অযুত}}<br>({{translit|bn|ISO|ōjut}})<br>{{lang|bn|দশ হাজার}}<br>({{translit|bn|ISO|dôś hāzār}}) | {{lang|or|ଦଶ ହଜାର}}<br>({{translit|or|ISO|dåśå håjārå}}) <br>{{lang|or|ଅୟୁତ}}<br>({{translit|or|ISO|åyutå}}) | {{lang|ne|दश हजार}}<br>({{translit|ne|ISO|daś hajār}}) | {{lang|ta|பத்தாயிரம்}}<br>({{translit|ta|ISO|pattāyiram}})<br>{{lang|ta|ஆயுதம்}}<br>({{translit|ta|ISO|āyutam}}) | {{lang|te|పది వేలు}}<br>({{translit|te|ISO|padi vēlu}}) | {{lang|kn|ಹತ್ತು ಸಾವಿರ (ಅಯುತ)}}<br>({{translit|kn|ISO|hattu sāvira}}) | {{lang|ml|പതിനായിരം}}<br>({{translit|ml|ISO|patināyiraṁ}}) |- | style="text-align:center" | 10<sup>5</sup> | hundred thousand | ''lakh'' | {{lang|hi|लाख}} / {{lang|ur|{{nq|لاکھ}}}}<br>({{translit|hi|ISO|lākh}}) | {{lang|mr|एक लाख}}<br>({{translit|mr|ISO|ēk lākh}}) | {{lang|bn|লক্ষ}}<br>({{translit|bn|ISO|lôkkhō}})<br>{{lang|bn|লাখ}}<br>({{translit|bn|ISO|lākh}}) | {{lang|or|ଲକ୍ଷ}}<br>({{translit|or|ISO|låkṣå}}) | {{lang|ne|एक लाख}}<br>({{translit|ne|ISO|ēk lākh}}) | {{lang|ta|இலட்சம்}}<br>({{translit|ta|ISO|ilaṭcam}})<br>{{lang|ta|நியுதம்}}<br>({{translit|ta|ISO|niyutam}}) | {{lang|te|లక్ష}}<br>({{translit|te|ISO|lakṣa}}) | {{lang|kn|ಲಕ್ಷ}}<br>({{translit|kn|ISO|lakṣa}}) | {{lang|ml|ലക്ഷം}}<br>({{translit|ml|ISO|lakṣaṁ}}) |- | style="text-align:center" | 10<sup>6</sup> | million | ten ''lakh'' | {{lang|hi|दस लाख}} / {{lang|ur|{{nq|دس لاکھ}}}}<br>({{translit|hi|ISO|das lākh}}) | {{lang|mr|दहा लाख}}<br>({{translit|mr|ISO|dahā lākh}}) | {{lang|bn|নিযুত}}<br>({{translit|bn|ISO|nijut}})<br>{{lang|bn|দশ লাখ}}<br>({{translit|bn|ISO|dôś lākh}})<br> | {{lang|or|ଦଶ ଲକ୍ଷ}}<br>({{translit|or|ISO|dåśå låkṣå}})<br>{{lang|or|ନିୟୁତ}}<br>({{translit|or|ISO|niyutå}}) | {{lang|ne|दश लाख}}<br>({{translit|ne|ISO|daś lākh}}) | {{lang|ta|பத்து இலட்சம்}}<br>({{translit|ta|ISO|pattu ilaṭcam}}) | {{lang|te|పది లక్షలు}}<br>({{translit|te|ISO|padi lakṣalu}}) | {{lang|kn|ಹತ್ತು ಲಕ್ಷ (ನಿಯುತ)}}<br>({{translit|kn|ISO|hattu lakṣa}}) | {{lang|ml|പത്തുലക്ഷം}}<br>({{translit|ml|ISO|pattulakṣaṁ}}) |- | style="text-align:center" | 10<sup>7</sup> | ten million | ''crore'' | {{lang|hi|करोड़}} / {{lang|ur|{{nq|کروڑ}}}}<br>({{translit|hi|ISO|karōṛ}}) | {{lang|mr|एक कोटी}}<br>({{translit|mr|ISO|ēk kōṭī}}) | {{lang|bn|কোটি}}<br>({{translit|bn|ISO|kōṭi}}) | {{lang|or|କୋଟି}}<br>({{translit|or|ISO|koṭi}}) | {{lang|ne|एक करोड}}<br>({{translit|ne|ISO|ēk karoḍ}}) | {{lang|ta|கோடி}}<br>({{translit|ta|ISO|kōṭi}}) | {{lang|te|కోటి}}<br>({{translit|te|ISO|kōṭi}}) | {{lang|kn|ಕೋಟಿ}}<br>({{translit|kn|ISO|kōṭi}}) | {{lang|ml|കോടി}}<br>({{translit|ml|ISO|kōṭi}}) |- | style="text-align:center" | 10<sup>8</sup> | hundred million | ten ''crore'' | {{lang|hi|दस करोड़}} / {{lang|ur|{{nq|دس کروڑ}}}}<br>({{translit|hi|ISO|das karōṛ}}) | {{lang|mr|दहा कोटी}}<br>({{translit|mr|ISO|dahā kōṭī}}) | {{lang|bn|অর্বুদ}}<br>({{translit|bn|ISO|ōrbud}})<br>{{lang|bn|দশ কোটি}}<br>({{translit|bn|ISO|dôś kōṭi}}) | {{lang|or|ଦଶ କୋଟି}}<br>({{translit|or|ISO|dåśå koṭi}})<br>{{lang|or|ଅର୍ବୁଦ}}<br>({{translit|or|ISO|årbudå}}) | {{lang|ne|दश करोड}}<br>({{translit|ne|ISO|daś karoḍ}}) | {{lang|ta|அற்புதம்}}<br>({{translit|ta|ISO|aṟputam}}) | {{lang|te|పది కోట్లు}}<br>({{translit|te|ISO|padi kōṭlu}}) | {{lang|kn|ಹತ್ತು ಕೋಟಿ (ಅರ್ಭುಧ)}}<br>({{translit|kn|ISO|hattu kōṭi}}) | {{lang|ml|പത്തുകോടി}}<br>({{translit|ml|ISO|pattukōṭi}}) |- | style="text-align:center" | 10<sup>9</sup> | billion | ''{{not a typo|arab}}'' / hundred ''crore'' | {{lang|hi|अरब}} / {{lang|ur|{{nq|ارب}}}}<br>({{translit|hi|ISO|arab}})<br>{{lang|hi|सौ करोड़}} / {{lang|ur|{{nq|سو کروڑ}}}}<br>({{translit|hi|ISO|sau karōṛ}}) | {{lang|mr|एक अब्ज}}<br>({{translit|mr|ISO|ēk abja}}) | {{lang|bn|মহার্বুদ}}<br>({{translit|bn|ISO|môhārbud}})<br>{{lang|bn|একশ কোটি}}<br>({{translit|bn|ISO|êkśō kōṭi}}) | {{lang|or|ଶହେ କୋଟି}}<br>({{translit|or|ISO|śåhe koṭi}}) <br>{{lang|or|ବୃନ୍ଦ}}<br>({{translit|or|ISO|brundå}}) | {{lang|ne|एक अर्ब}}<br>({{translit|ne|ISO|ēk arba}}) | {{lang|ta|நிகற்புதம்}}<br>({{translit|ta|ISO|nikaṟputam}}) | {{lang|te|వంద కోట్లు}}<br>({{translit|te|ISO|vanda kōṭlu}}) | {{lang|kn|ನೂರು ಕೋಟಿ (ಅಭ್ಜ)}}<br>({{translit|kn|ISO|nūru kōṭi}}) | {{lang|ml|നൂറുകോടി}}<br>({{translit|ml|ISO|nūṟukōṭi}}) |- | style="text-align:center" | 10<sup>10</sup> | ten billion | ten ''{{not a typo|arab}}'' / thousand ''crore'' | {{lang|hi|दस अरब}} / {{lang|ur|{{nq|دس ارب}}}}<br>({{translit|hi|ISO|das arab}})<br>{{lang|hi|एक हज़ार करोड़}} / {{lang|ur|{{nq|ایک ہزار کروڑ}}}}<br>({{translit|hi|ISO|ēk hazār karōṛ}}) | एक खर्व<br>({{translit|mr|ISO|ek kharva}}) | {{lang|bn|খর্ব}}<br>({{translit|bn|ISO|khôrbō}})<br>{{lang|bn|হাজার কোটি}}<br>({{translit|bn|ISO|hāzār kōṭi}}) | {{lang|or|ହଜାର କୋଟି}}<br>({{translit|or|ISO|håjārå koṭi}})<br>{{lang|or|ଖର୍ବ}}<br>({{translit|or|ISO|khårbå}}) | {{lang|ne|दश अर्ब}}<br>({{translit|ne|ISO|daś arba}}) | {{lang|ta|கும்பம்}}<br>({{translit|ta|ISO|kumpam}}) | {{lang|te|వెయ్యి కోట్లు}}<br>({{translit|te|ISO|veyyi kōṭlu}}) | {{lang|kn|ಒಂದು ಸಾವಿರ ಕೋಟಿ (ಕರ್ವ)}}<br>({{translit|kn|ISO|ondu sāvira kōṭi}}) | {{lang|ml|ആയിരം കോടി}}<br>({{translit|ml|ISO|āyiraṁ kōṭi}}) |- | style="text-align:center" | 10<sup>11</sup> | hundred billion | ''kharab'' / hundred ''{{not a typo|arab}}'' / ten thousand ''crore'' | {{lang|hi|खरब}} / {{lang|ur|{{nq|کھرب}}}}<br>({{translit|hi|ISO|kharab}}) | एक {{lang|mr|निखर्व}}<br>({{translit|mr|ISO|ek nikharva}}) | {{lang|bn|মহাখর্ব}}<br>({{translit|bn|ISO|môhākhôrbō}})<br>{{lang|bn|দশ হাজার কোটি}}<br>({{translit|bn|ISO|dôś hājār kōṭi}}) | {{lang|or|ଦଶ ହଜାର କୋଟି}}<br>({{translit|or|ISO|dåśå håjārå koṭi}})<br>{{lang|or|ନିଖର୍ବ}}<br>({{translit|or|ISO|nikhårbå}}) | {{lang|ne|एक खर्ब}}<br>({{translit|ne|ISO|ēk kharba}}) | {{lang|ta|கணம்}}<br>({{translit|ta|ISO|kaṇam}}) | {{lang|te|పది వేల కోట్లు}}<br>({{translit|te|ISO|padi vēla kōṭlu}}) | {{lang|kn|ಹತ್ತು ಸಾವಿರ ಕೋಟಿ (ನಿಕರ್ವ)}}<br>({{translit|kn|ISO|hattu sāvira kōṭi}}) | {{lang|ml|പതിനായിരം കോടി}}<br>({{translit|ml|ISO|patināyiraṁ kōṭi}}) |- | style="text-align:center" | 10<sup>12</sup> | trillion | ten ''kharab'' / one thousand ''{{not a typo|arab}}'' / {{Anchor|lakh crore}}one ''lakh crore'' | {{lang|hi|दस खरब}} / {{lang|ur|{{nq|دس کھرب}}}}<br>({{translit|hi|ISO|das kharab}})<br>{{lang|hi|एक लाख करोड़}} / {{lang|ur|{{nq|ایک لاکھ کروڑ}}}}<br>({{translit|hi|ISO|ēk lākh karōṛ}}) | {{lang|mr|एक पद्म}}<br>({{translit|mr|ISO|ēk padma}}) | {{lang|bn|শঙ্খ}}<br>({{translit|bn|ISO|śôṅkhō}})<br>{{lang|bn|লাখ কোটি}}<br>({{translit|bn|ISO|lākh kōṭi}}) | {{lang|or|ଲକ୍ଷ କୋଟି}}<br>({{translit|or|ISO|låkṣå koṭi}})<br>{{lang|or|ଶଙ୍ଖ}}<br>({{translit|or|ISO|śåṅkhå}}) | {{lang|ne|दश खर्ब}}<br>({{translit|ne|ISO|daś kharba}}) | {{lang|ta|கற்பம்}}<br>({{translit|ta|ISO|kaṟpam}}) | {{lang|te|లక్ష కోట్లు}}<br>({{translit|te|ISO|lakṣa kōṭlu}}) | {{lang|kn|ಒಂದು ಲಕ್ಷ ಕೋಟಿ (ಮಹಾಪದ್ಮ)}}<br>({{translit|kn|ISO|ondu lakṣa kōṭi}}) | {{lang|ml|ഒരു ലക്ഷം കോടി}}<br>({{translit|ml|ISO|oru lakṣaṁ kōṭi}}) |- | style="text-align:center" | 10<sup>13</sup> | ten trillion | ''nil'' / hundred ''kharab'' / ten thousand ''{{not a typo|arab}}'' / ten ''lakh crore'' | {{lang|hi|नील}} / {{lang|ur|{{nq|نیل}}}}<br>({{translit|hi|ISO|nīl}}) | {{lang|mr|एक महापद्म}}<br>(ek mahāpadma) | {{lang|bn|মহাশঙ্খ}}<br>({{translit|bn|ISO|môhāśôṅkhō}})<br>{{lang|bn|দশ লাখ কোটি}}<br>({{translit|bn|ISO|dôś lākh kōṭi}}) | {{lang|or|ଦଶ ଲକ୍ଷ କୋଟି}}<br>({{translit|or|ISO|dåśå låkṣå koṭi}})<br>{{lang|or|ପଦ୍ମ}}<br>({{translit|or|ISO|pådmå}}) | {{lang|ne|नील}}<br>({{translit|ne|ISO|nīl}}) | {{lang|ta|நிகற்பம்}}<br>({{translit|ta|ISO|nikaṟpam}}) | {{lang|te|పది లక్షల కోట్లు}}<br>({{translit|te|ISO|padi lakṣala kōṭlu}}) | {{lang|kn|ಹತ್ತು ಲಕ್ಷ ಕೋಟಿ (ಶಂಖು)}}<br>({{translit|kn|ISO|hattu lakṣa kōṭi}}) | {{lang|ml|പത്തുലക്ഷം കോടി}}<br>({{translit|ml|ISO|pattulakṣaṁ kōṭi}}) |- | style="text-align:center" | 10<sup>14</sup> | hundred trillion | ten ''nil'' / ''crore crore'' | {{lang|hi|दस नील}} / {{lang|ur|{{nq|دس نیل}}}}<br>({{translit|hi|ISO|das nīl}})<br>{{lang|hi|एक करोड़ करोड़}} / {{lang|ur|{{nq|ایک کروڑ کروڑ}}}}<br>({{translit|hi|ISO|ēk karōṛ karōṛ}}) | {{lang|mr|एक शंखू}}<br>({{translit|mr|ISO|ēk śaṅkhū}}) | {{lang|bn|পদ্ম}}<br>({{translit|bn|ISO|pôddō}})<br>{{lang|bn|একশ লাখ কোটি}}<br>({{translit|bn|ISO|êkśō lākh kōṭi}})<br>{{lang|bn|শতলক্ষ কোটি }}<br>({{translit|bn|ISO|śôtôkōṭi lôkkō}})f | {{lang|or|ଶହେ ଲକ୍ଷ କୋଟି}}<br>({{translit|or|ISO|śåhe låkṣå koṭi}})<br>{{lang|or|ସାଗର}}<br>({{translit|or|ISO|sāgårå}}) | {{lang|ne|दश नील}}<br>({{translit|ne|ISO|daś nīl}}) | {{lang|ta|பதுமம்}}<br>({{translit|ta|ISO|patumam}}) | {{lang|te|కోటి కోట్లు}}<br>({{translit|te|ISO|kōṭi kōṭlu}}) | {{lang|kn|ಒಂದು ಕೋಟಿ ಕೋಟಿ (ಜಲಧಿ)}}<br>({{translit|kn|ISO|ondu kōṭi kōṭi}}) | {{lang|ml|നൂറ് ലക്ഷം കോടി}}<br>({{translit|ml|ISO|nuṟ lakṣaṁ kōṭi}}) |- | style="text-align:center" | 10<sup>15</sup> | quadrillion | ''padma'' / hundred ''nil'' / ten ''crore crore'' | {{lang|hi|पद्म}} / {{lang|ur|{{nq|پدم}}}}<br>({{translit|hi|ISO|padma}}) |एक जलधि शंखू<br>(eka jaladhi śaṅkhū) | {{lang|bn|মহাপদ্ম}}<br>({{translit|bn|ISO|môhāpôddō}})<br>{{lang|bn|হাজার লাখ কোটি}}<br>({{translit|bn|ISO|hāzār lākh kōṭi}}) | {{lang|or|ହଜାର ଲକ୍ଷ କୋଟି}}<br>({{translit|or|ISO|håjārå låkṣå koṭi}})<br>{{lang|or|ଅନ୍ତ୍ୟ}}<br>({{translit|or|ISO|åntyå}}) | {{lang|ne|पद्म}}<br>({{translit|ne|ISO|padma}}) | {{lang|ta|சங்கம்}}<br>({{translit|ta|ISO|caṅkam}}) | {{lang|te|పది కోట్ల కోట్లు}}<br>({{translit|te|ISO|padi kōṭla kōṭlu}}) | {{lang|kn|ಹತ್ತು ಕೋಟಿ ಕೋಟಿ (ಅಂತ್ಯ)}}<br>({{translit|kn|ISO|hattu kōṭi kōṭi}}) | {{lang|ml|ആയിരം ലക്ഷം കോടി}}<br>({{translit|ml|ISO|āyiraṁ lakṣaṁ kōṭi}}) |- | style="text-align:center" | 10<sup>16</sup> | ten quadrillion | ten ''padma'' / hundred ''crore crore'' | {{lang|hi|दस पद्म}} / {{lang|ur|{{nq|دس پدم}}}}<br>({{translit|hi|ISO|das padma}}) | एक अंत्य<br>(eka antya) | বঙ্গ (bongo){{lang|bn|দশ হাজার লাখ কোটি}}<br>({{translit|bn|ISO|dôś hāzār lākh kōṭi}}) | {{lang|or|ଦଶ ହଜାର ଲକ୍ଷ କୋଟି}}<br>({{translit|or|ISO|dåśå håjārå låkṣå koṭi}})<br>{{lang|or|ମଧ୍ୟ}}<br>({{translit|or|ISO|mådhyå}}) | {{lang|ne|दश पद्म}}<br>({{translit|ne|ISO|daś padma}}) | {{lang|ta|வெள்ளம்}}<br>({{translit|ta|ISO|veḷḷam}})<br>{{lang|ta|சமுத்திரம்}}<br>({{translit|ta|ISO|camuttiram}}) | {{lang|te|వంద కోట్ల కోట్లు}}<br>({{translit|te|ISO|vanda kōṭla kōṭlu}}) | {{lang|kn|ನೂರು ಕೋಟಿ ಕೋಟಿ (ಮಧ್ಯ)}}<br>({{translit|kn|ISO|nūru kōṭi kōṭi}}) | {{lang|ml|പതിനായിരം ലക്ഷം കോടി}}<br>({{translit|ml|ISO|patināyiraṁ lakṣaṁ kōṭi}}) |- | style="text-align:center" | 10<sup>17</sup> | hundred quadrillion | ''shankh'' / hundred ''padma'' / thousand ''crore crore'' / ''lakh lakh crore'' | {{lang|hi|शंख}} / {{lang|ur|{{nq|شنکھ}}}}<br>({{translit|hi|ISO|śaṅkh}}) | एक परार्ध<br>(eka parārdha) | মহাবঙ্গ (mohabongo){{lang|bn|শত হাজার লাখ কোটি}}<br>({{translit|bn|ISO|śoto hāzār lākh kōṭi}}) | {{lang|or|ଶହେ ହଜାର ଲକ୍ଷ କୋଟି}}<br>({{translit|or|ISO|śåhe håjārå låkṣå koṭi}})<br>{{lang|or|ପରାର୍ଦ୍ଧ}}<br>({{translit|or|ISO|pårārddhå}}) | {{lang|ne|शंख}}<br>({{translit|ne|ISO|śaṅkha}}) | {{lang|ta|அந்நியம்}}<br>({{translit|ta|ISO|anniyam}}) | {{lang|te|వెయ్యి కోట్ల కోట్లు}}<br>({{translit|te|ISO|veyyi kōṭla kōṭlu}}) | {{lang|kn|ಒಂದು ಸಾವಿರ ಕೋಟಿ ಕೋಟಿ (ಪರಾರ್ಧ)}}<br>({{translit|kn|ISO|ondu sāvira kōṭi kōṭi}}) | {{lang|ml|ലക്ഷം ലക്ഷം കോടി}}<br>({{translit|ml|ISO|lakṣaṁ lakṣaṁ kōṭi}}) |- | style="text-align:center" | 10<sup>18</sup> | quintillion | ten ''shankh'' / ten thousand ''crore crore'' | {{lang|hi|दस शंख}} / {{lang|ur|{{nq|دس شنکھ}}}}<br>({{translit|hi|ISO|das śaṅkh}})<br>{{lang|hi|गुलशन}} / {{lang|ur|{{nq|گلشن}}}}<br>({{translit|hi|ISO|gulśan}}) | एक महापरार्ध<br>(eka mahāparārdha) | {{lang|bn|গুলশান}}<br>({{translit|bn|ISO|gulśān}})<br>{{lang|bn|দশ শত হাজার লাখ কোটি}}<br>({{translit|bn|ISO|doś śoto hāzār lākh kōṭi}}) | {{lang|or|ଦଶ ଶହେ ହଜାର ଲକ୍ଷ କୋଟି}}<br>({{translit|or|ISO|dåśå śåhe håjārå låkṣå koṭi}})<br>{{lang|or|ଦଶ ପରାର୍ଦ୍ଧ}}<br>({{translit|or|ISO|dåśå pårārddhå}}) | {{lang|ne|दश शंख}}<br>({{translit|ne|ISO|daś śaṅkha}}) | {{lang|ta|அர்த்தம்}}<br>({{translit|ta|ISO|arttam}}) | {{lang|te|పది వేల కోట్ల కోట్లు}}<br>({{translit|te|ISO|padi vēla kōṭla kōṭlu}}) | {{lang|kn|ಹತ್ತು ಸಾವಿರ ಕೋಟಿ ಕೋಟಿ}}<br>({{translit|kn|ISO|hattu sāvira kōṭi kōṭi}}) | {{lang|ml|പത്തുലക്ഷം ലക്ഷം കോടി}}<br>({{translit|ml|ISO|pattulakṣaṁ lakṣaṁ kōṭi}}) |- |}</div> ==Historic numbering systems== ===Numbering systems in Hindu epics=== There are various systems of numeration found in various ancient epic literature of India (''[[itihasa]]s''). The following table gives one such system used in the Valmiki [[Ramayana]].<ref>{{Cite web|title=Valmiki Ramayana - Yuddha Kanda, Chapter (Sarga) 28,(Verses 33 – 38)|url= http://valmikiramayan.pcriot.com/utf8/yuddha/sarga28/yuddha_28_frame.htm|access-date=2021-07-15}}</ref> {|class="wikitable" style="clear:both;margin:1em auto;text-align:left" |- ! Name ! Indian decimal ! Value ! Short scale |- | {{lang|sa|एक}} (''{{translit|sa|ISO|ēka}}'') | <small>{{0|0,00,00}}1</small> |style="text-align:center"| 1 | one |- | {{lang|sa|दश}} (''{{translit|sa|ISO|daśa}}'') | <small>{{0|0,00,0}}10</small> |style="text-align:center"| 10 | ten |- | {{lang|sa|शत}} (''{{translit|sa|ISO|śata}}'') | <small>{{0|0,00,}}100</small> |style="text-align:center"| 10<sup>2</sup> | hundred |- | {{lang|sa|सहस्र}} (''{{translit|sa|ISO|sahasra}}'') | <small>{{0|0,0}}1,000</small> |style="text-align:center"| 10<sup>3</sup> | thousand |- | {{lang|sa|लक्ष}} (''{{translit|sa|ISO|lakṣa}}'') | <small>1,00,000</small> |style="text-align:center"| 10<sup>5</sup> | hundred thousand |- | {{lang|sa|कोटि}} (''{{translit|sa|ISO|kōṭi}}'')<br /> | <small>1,00,00,000</small> |style="text-align:center"| 10<sup>7</sup> | ten million |- | {{lang|sa|शङ्कु}} (''{{translit|sa|ISO|śaṅku}}'') | <small>1,00,000 {{translit|sa|ISO|koṭi}}</small> |style="text-align:center"| 10<sup>12</sup> | trillion |- | {{lang|sa|महाशङ्कु}} (''{{translit|sa|ISO|mahāśaṅku}}'') | <small>1,00,000 {{translit|sa|ISO|śaṅku}}</small> |style="text-align:center"| 10<sup>17</sup> | hundred quadrillion |- | {{lang|sa|वृन्द}} (''{{translit|sa|ISO|vr̥nda}}'') | <small>1,00,000 {{translit|sa|ISO|mahāśaṅku}}</small> |style="text-align:center"| 10<sup>22</sup> | ten sextillion |- | {{lang|sa|महावृन्द}} (''{{translit|sa|ISO|mahāvr̥nda}}'') | <small>1,00,000 {{translit|sa|ISO|vr̥nda}}</small> |style="text-align:center"| 10<sup>27</sup> | octillion |- |{{lang|sa|पद्म}} (''{{translit|sa|ISO|padma}}'') | <small>1,00,000 {{translit|sa|ISO|mahāvr̥nda}}</small> |style="text-align:center"| 10<sup>32</sup> | hundred nonillion |- | {{lang|sa|महापद्म}} (''{{translit|sa|ISO|mahāpadma}}'') | <small>1,00,000 {{translit|sa|ISO|padma}}</small> |style="text-align:center"| 10<sup>37</sup> | ten undecillion |- | {{lang|sa|खर्व}} (''{{translit|sa|ISO|kharva}}'') | <small>1,00,000 {{translit|sa|ISO|mahāpadma}}</small> |style="text-align:center"| 10<sup>42</sup> | tredecillion |- | {{lang|sa|महाखर्व}} (''{{translit|sa|ISO|mahākharva}}'') | <small>1,00,000 {{translit|sa|ISO|kharva}}</small> |style="text-align:center"| 10<sup>47</sup> | hundred quattuordecillion |- | {{lang|sa|समुद्र}} (''{{translit|sa|ISO|samudra}}'') | <small>1,00,000 {{translit|sa|ISO|mahākharva}}</small> |style="text-align:center"| 10<sup>52</sup> | ten sexdecillion |- | {{lang|sa|ओघ}} (''{{translit|sa|ISO|ogha}}'') | <small>1,00,000 {{translit|sa|ISO|samudra}}</small> |style="text-align:center"| 10<sup>57</sup> | octodecillion |- | {{lang|sa|महौघ}} (''{{translit|sa|ISO|mahaugha}}'') | <small>1,00,000 {{translit|sa|ISO|ogha}}</small> |style="text-align:center"| 10<sup>62</sup> | hundred novemdecillion |} === Other numbering systems === The denominations by which land was measured in the [[Kumaon Kingdom]] were based on arable lands and thus followed an approximate system with local variations. The most common of these was a [[vigesimal]] (base-20) numbering system with the main denomination called a ''bisi'' (see [[Hindustani numerals|Hindustani number ''bīs'']]), which corresponded to the land required to sow 20 ''nalis'' of seed. Consequently, its actual land measure varied based on the quality of the soil.<ref>{{cite book |last=Traill |first=G.W. |editor-last=Batten |editor-first=J.H. |title=Statistical Sketch of Kamaon |publisher=[[John Murray (publishing house)|John Murray]] |date=1828 |page=34 |url=https://archive.org/details/in.ernet.dli.2015.53201/page/n48/mode/1up?q=bisi}}</ref> This system became the established norm in Kumaon by 1891.<ref>{{cite journal |title=North Indian Notes and Queries |publisher=Pioneer Press |date=1891 |page=216 |volume=1-3 |url=https://books.google.com/books?id=b5gsAAAAMAAJ&dq=bisi+twenty+base+counting+system+india&pg=PA216 |website=Google Books }}</ref> ==Usage in different languages== {{main|lakh|crore}} Below is a list of translations for the words lakh and crore in other languages spoken in the Indian subcontinent: * In [[Assamese language|Assamese]], a lakh is also called {{lang|as|লক্ষ}} ''lokhyo'', or {{lang|as|লাখ}} ''lakh'' and a crore is called {{lang|as|কৌটি বা কোটি}} ''kouti'' * In [[Bengali language|Bengali]], a lakh is natively (tadbhava) known as {{lang|bn|লাখ}} ''lākh'', though some use the ardha-tatsama {{lang|bn|লক্ষ}} ''lokkho''. A crore is called {{lang|bn|কোটি}} ''kōṭi'' * In [[Burmese language|Burmese]], crore is called {{lang|my|ကုဋေ}} {{IPA|my|ɡədè|}}. Lakh is used in [[Burmese English]]. *In [[Maldivian language|Dhivehi]], a lakh is called ލައްކަ la'kha and a crore is called ކްރޯރް kroaru * In [[Gujarati language|Gujarati]], a lakh is called {{lang|gu|લાખ}} ''lākh'' and a crore is called {{lang|gu|કરોડ}} ''karoḍ''. A hundred crore is called {{lang|gu|અબજ}} ''abaj'' * In [[Hindi language|Hindi]], a lakh is called {{lang|hi|लाख}} ''lākh'' and a crore is called {{lang|hi|करोड}} ''karoḍ''. A hundred crore is called {{lang|hi|अरब}} ''arab'' * In [[Kannada language|Kannada]], a lakh is called {{lang|kn|ಲಕ್ಷ}} ''lakṣha'' and a crore is called {{lang|kn|ಕೋಟಿ}} ''kōṭi'' * In [[Khasi language|Khasi]], a lakh is called ''lak'' and a crore is called ''klur'' or ''krur''. A billion is called ''arab'' and hundred billion is called ''kharab''. * In [[Malayalam language|Malayalam]], a lakh is called {{Lang|ml|ലക്ഷം}} ''laksham'' and a crore is called {{Lang|ml|കോടി}} ''kodi''. * In [[Marathi language|Marathi]], a lakh is called {{Lang|mr|लाख/लक्ष }} ''lākh'' and a crore is called {{Lang|mr|कोटी}} ''koṭi'' or {{Lang|mr|करोड}} ''karoḍ'', and an {{not a typo|arab}} (10<sup>9</sup>) is called {{Lang|mr|अब्ज}} ''abja''. * In [[Nepali language|Nepali]], a lakh is called {{Lang|ne|लाख}} ''lākh'' and a crore is called {{lang|ne|करोड}} ''karoḍ''. * In [[Odia language|Odia]], a lakh is called {{lang|or|ଲକ୍ଷ}} ''lôkhyô'' and a crore is called {{lang|or|କୋଟି}} ''koṭi''. * In [[Punjabi language|Punjabi]], a lakh is called ''lakkh'' ([[Shahmukhi]]: {{lang|pa|{{nastaliq|لکھ}}}}, [[Gurmukhi]]: {{lang|pa|ਲੱਖ}}) and a crore is called ''karoṛ'' ([[Shahmukhi]]: {{lang|pa|{{Nastaliq|کروڑ}}}}, [[Gurmukhi]]: {{lang|pa|ਕਰੋੜ}}). * In [[Rohingya language|Rohingya]], a lakh is called ''lák'' and a crore is called ''kurul''. A thousand crore is called ''kuthí''. * In [[Sinhala language|Sinhala]], a lakh is called {{lang|si|ලක්ෂ}} {{translit|si|lakṣa}} and a crore is called {{lang|si|කෝටි}} {{translit|si|kōṭi}}. * In [[Tamil language|Tamil]], a lakh is called {{Lang|ta|இலட்சம்}} ''ilaṭcam'' and a crore is called {{Lang|ta|கோடி}} ''kōṭi''. * In [[Telugu language|Telugu]], a lakh is called {{Lang|te|లక్ష}} ''lakṣha'' and a crore is called {{Lang|te|కోటి}} ''kōṭi''. * In [[Urdu language|Urdu]], a lakh is called {{lang|ur|{{nq|لاکھ}}}} ''lākh'' and a crore is called {{lang|ur|{{nq|کروڑ}}}} ''karoṛ''. A billion is called ''arab'' ({{lang|ur|{{nq|ارب}}}}), and one hundred billion/arab is called a ''kharab'' ({{lang|ur|{{nq|کھرب}}}}). * Lakh has entered the [[Swahili language]] as "{{lang|sw|laki}}" and is in common use. Formal written publications in English in India tend to use lakh/crore for Indian currency and International numbering for foreign currencies.<ref>{{cite web|author=Shapiro, Richard<!--Employee as per https://www.oed.com/public/oedstaff/staff-of-the-oxford-english-dictionary/loginpage-->|url=https://public.oed.com/blog/the-most-distinctive-counting-system-in-english-indian-cardinal-numbers/|title=The most distinctive counting system in English? Indian cardinal numbers|publisher=[[Oxford English Dictionary]]|date=2012-08-16|access-date=2020-05-24 |url-status=live |archive-url=https://web.archive.org/web/20200630011705/https://public.oed.com/blog/the-most-distinctive-counting-system-in-english-indian-cardinal-numbers/ |archive-date= Jun 30, 2020 }} Shapiro is/was an OED employee. The article states: "The opinions and other information contained in the OED blog posts and comments do not necessarily reflect the opinions or positions of [[Oxford University Press]]."</ref> == Current usage == The official usage of this system is limited to the nations of [[India]], [[Pakistan]] and [[Bangladesh]]. It is universally employed within these countries, and is preferred to the International numbering system.<ref>{{Cite web|title=Hey! Who Can Explain What India Does With Its Commas? (Not Commies. Commas.) |last1=Krulwich|first1=Robert|last2=Block|first2=Ezra|date=21 October 2010|url=https://www.npr.org/sections/krulwich/2010/10/19/130674804/counting-millionaire-india|access-date=2020-08-03|website=[[NPR]]|language=en}}</ref> [[Sri Lanka]] and [[Nepal]] used this system in the past but has switched to the International numbering system in recent years. In the [[Maldives]], the term lakh is widely used in official documents and local speech. However, the [[International System of Units]] is preferred for higher denominations (such as millions).{{cn|date=May 2025}} Most institutions and citizens in India use the Indian number system. The [[Reserve Bank of India]] was noted as a rare exception in 2015,<ref>{{Cite web|last1=Gurpur|date=10 August 2015|title=Can we follow Indian numbering system for simplicity and good order?|url=https://www.moneylife.in/article/can-we-follow-indian-numbering-system-for-simplicity-and-good-order/43059.html|website=Moneylife News & Views|access-date=3 September 2020}}</ref> whereas by 2024 the Indian system was used for amounts in rupees and the International system for foreign currencies throughout the Reserve Bank's website.<ref>[[Reserve Bank of India]], [https://www.rbi.org.in/ old] and [https://website.rbi.org.in/ new website] (known on archive.org since 5 Apr 2024). Retrieved 16 Apr 2024.</ref> ==See also== * [[Scientific notation]] * [[Japanese_numerals|Japanese notation]] ==References== {{Reflist}} [[Category:Numerals]] [[Category:Indian mathematics|Numbering system]] [[Category:Economy of India|Numbering system]] [[Category:Economy of Pakistan|Numbering system]] [[Category:Economy of Nepal|Numbering system]] [[Category:Numeral systems]] [[Category:Economy of Bangladesh]]
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