South Asian numbering system

The South Asian numbering system, used today in the Indian subcontinent (comprising India, Pakistan, Bangladesh, and Nepal), is based on grouping by two decimal places, rather than the three decimal places commonplace in most parts of the world. This system of measurement introduces separators into numbers in places appropriate to the two-digit grouping. For example, 30 million (3 crore) rupees would be written as 3,00,00,000, with commas at the thousand, lakh, and crore levels, instead of 30,000,000.

The terms crore and lakh are in widespread use today in Indian English and Pakistani English.

The table below follows the short scale usage of billion being a thousand million. In India, following former British usage, the long scale was used, with one billion equivalent to one million million.

Hindi (transliteration) Indian figure Power
notation
English figure Short scale English
(long scale English)
एक (ek) 1 100 1 one
दस (das) 10 101 10 ten
सौ (sau) 100 102 100 hundred
सहस्र (sahasra) /
हज़ार (hazaar)
1,000 103 1,000 one thousand
लाख (lākh / lac) 1,00,000 105 100,000 one hundred thousand
करोड़ (karoḍ) 1,00,00,000 107 10,000,000 ten million
अरब (arab) 1,00,00,00,000 109 1,000,000,000 one billion
(one milliard)
खरब (kharab) 1,00,00,00,00,000 1011 100,000,000,000 one hundred billion
(one hundred milliard)
नील (nīl) 1,00,00,00,00,00,000 1013 10,000,000,000,000 ten trillion
(ten billion)
पद्म (padma) 1,00,00,00,00,00,00,000 1015 1,000,000,000,000,000 one quadrillion
(one billiard)
शङ्ख (shankh) 1,00,00,00,00,00,00,00,000 1017 100,000,000,000,000,000 one hundred quadrillion
(one hundred billiard)
महाशङ्ख (maha shankh / ald / udpadha) 1,00,00,00,00,00,00,00,00,000 1019 10,000,000,000,000,000,000 ten quintillion
(ten trillion)
(ank / maha udpadha) 1,00,00,00,00,00,00,00,00,00,000 1021 1,000,000,000,000,000,000,000 one sextillion
(one trilliard)
(jald / padha) 1,00,00,00,00,00,00,00,00,00,00,000 1023 100,000,000,000,000,000,000,000 one hundred sextillion
(one hundred trilliard)
(madh) 1,00,00,00,00,00,00,00,00,00,00,00,000 1025 10,000,000,000,000,000,000,000,000 ten septillion
(ten quadrillion)
(paraardha) 1,00,00,00,00,00,00,00,00,00,00,00,00,000 1027 1,000,000,000,000,000,000,000,000,000 one octillion
(one quadrilliard)
(ant) 1,00,00,00,00,00,00,00,00,00,00,00,00,00,000 1029 100,000,000,000,000,000,000,000,000,000 one hundred octillion
(one hundred quadrilliard)
(maha ant) 1,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 1031 10,000,000,000,000,000,000,000,000,000,000 ten nonillion
(ten quintillion)
(shisht) 1,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 1033 1,000,000,000,000,000,000,000,000,000,000,000 one decillion
(one quintilliard)
(singhar) 1,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 1035 100,000,000,000,000,000,000,000,000,000,000,000 one hundred decillion
(one hundred quintilliard)
(maha singhar) 1,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 1037 10,000,000,000,000,000,000,000,000,000,000,000,000 ten undecillion
(ten sextillion)
(adant singhar) 100,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,00,000 1041 100,000,000,000,000,000,000,000,000,000,000,000,000,000 one hundred duodecillion
(one hundred sextilliard)

Vedic numbering systems

There are various systems of numeration found in various ancient Vedic literatures of India. The following table gives one such system used in the Valmiki Ramayana.

Sanskrit (transliteration) Indian figure Power
notation
English figure Short scale English
एक (éka) 1 100 1 one
दशन् (dáśan) 10 101 10 ten
शत (śata) 100 102 100 hundred
सहस्र (sahasra) 1,000 103 1,000 one thousand
अयुत (ayuta) 10,000 104 10,000 ten thousand
लक्ष (lakṣa)lakh 1,00,000 105 100,000 one hundred thousand
कोटि (koṭi)crore 1,00,00,000 107 10,000,000 ten million
शङ्कु (śaṅku) 10,00,00,00,00,000 1012 1,000,000,000,000 one trillion
महाशङ्कु (mahā-śaṅku) 1,00,000 śaṅku 1017 100,000,000,000,000,000 one hundred quadrillion
वृन्द (vṛnda) 1,00,000 mahā-śaṅku 1022 10,000,000,000,000,000,000,000 ten sextillion
महावृन्द (mahā-vṛnda) 1,00,000 vṛnda 1027 1,000,000,000,000,000,000,000,000,000 one octillion
पद्म (padma) 1,00,000 mahā-vṛnda 1032 100,000,000,000,000,000,000,000,000,000,000 one hundred nonillion
महापद्म (mahā-padma) 1,00,000 padma 1037 10,000,000,000,000,000,000,000,000,000,000,000,000 ten undecillion
खर्व (kharva) 1,00,000 mahā-padma 1042 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000 one tredecillion
महाखर्व (mahā-kharva) 1,00,000 kharva 1047 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 one hundred quattuordecillion
समुद्र (samudra) 1,00,000 mahā-kharva 1052 10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 ten sexdecillion
ओघ (ogha) 1,00,000 samudra 1057 1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 one octodecillion
महौघ (mahaugha/mahā-ogha) 1,00,000 ogha 1062 100,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000 one hundred novemdecillion

Usage in different languages

See also