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The special case of Legendre's formula for = gives the number of trailing zeros in the decimal representation of the factorials. [57] According to this formula, the number of zeros can be obtained by subtracting the base-5 digits of n {\displaystyle n} from n {\displaystyle n} , and dividing the result by four. [ 58 ]
The factorial number system is a mixed radix numeral system: ... also given in decimal, like 2 4 0 3 1 2 0 1, this number also can be written as 2:0:1:0!).
Trailing zero. In mathematics, trailing zeros are a sequence of 0 in the decimal representation (or more generally, in any positional representation) of a number, after which no other digits follow. Trailing zeros to the right of a decimal point, as in 12.340, don't affect the value of a number and may be omitted if all that is of interest is ...
Comparison of Stirling's approximation with the factorial. In mathematics, Stirling's approximation (or Stirling's formula) is an asymptotic approximation for factorials. It is a good approximation, leading to accurate results even for small values of . It is named after James Stirling, though a related but less precise result was first stated ...
A googol is the large number 10 100 or ten to the power of one hundred. In decimal notation, ... (factorial of 70). Using an integral, binary numeral system, ...
Factorion. In number theory, a factorion in a given number base is a natural number that equals the sum of the factorials of its digits. [ 1][ 2][ 3] The name factorion was coined by the author Clifford A. Pickover. [ 4]
In mathematics, the double factorial of a number n, denoted by n‼, is the product of all the positive integers up to n that have the same parity (odd or even) as n. [ 1 ] That is, Restated, this says that for even n, the double factorial 2 is while for odd n it is For example, 9‼ = 9 × 7 × 5 × 3 × 1 = 945. The zero double factorial 0‼ ...
Superfactorial. In mathematics, and more specifically number theory, the superfactorial of a positive integer is the product of the first factorials. They are a special case of the Jordan–Pólya numbers, which are products of arbitrary collections of factorials.