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There are names for numbers larger than crore, but they are less commonly used. These include arab (100 crore , 1 billion), kharab (100 arab , 100 billion), nil or sometimes transliterated as neel (100 kharab, 10 trillion), padma (100 nil, 1 quadrillion), shankh (100 padma, 100 quadrillion), and mahashankh (100 shankh, 10 quintillion).
By Archimedes's calculation, the universe of Aristarchus (roughly 2 light years in diameter), if fully packed with sand, would contain 10 63 grains. If the much larger observable universe of today were filled with sand, it would still only equal 10 95 grains. Another 100,000 observable universes filled with sand would be necessary to make a googol.
Crore (/ k r ɔːr /; abbreviated cr) denotes the quantity ten million (10 7) and is equal to 100 lakh in the Indian numbering system. In many international contexts, the decimal quantity is formatted as 10,000,000, but when used in the context of the Indian numbering system, the quantity is usually formatted 1,00,00,000.
Legendre's formula describes the exponents of the prime numbers in a prime factorization of the factorials, and can be used to count the trailing zeros of the factorials. Daniel Bernoulli and Leonhard Euler interpolated the factorial function to a continuous function of complex numbers, except at the negative integers, the (offset) gamma function.
34,459,425 = double factorial of 17; 34,012,224 = 5832 2 = 324 3 ... -matrices without zero rows and with exactly 8 ... preceded and followed by prime gaps of over ...
Lakh and crore are common enough to have entered Indian English. For number 0, Modern Standard Hindi is more inclined towards śūnya (a Sanskrit tatsama ) and Standard Urdu is more inclined towards sifr (borrowed from Arabic), while the native tadbhava -form is sunnā in Hindustani.
The factorial number system is sometimes defined with the 0! place omitted because it is always zero (sequence A007623 in the OEIS). In this article, a factorial number representation will be flagged by a subscript "!". In addition, some examples will have digits delimited by a colon. For example, 3:4:1:0:1:0! stands for
The Hindu–Arabic system is designed for positional notation in a decimal system. In a more developed form, positional notation also uses a decimal marker (at first a mark over the ones digit but now more commonly a decimal point or a decimal comma which separates the ones place from the tenths place), and also a symbol for "these digits recur ad infinitum".