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These are counted by the double factorial 15 = (6 − 1)‼. 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,
This is an accepted version of this page This is the latest accepted revision, reviewed on 18 December 2024. See also: Orders of magnitude (numbers) and Long and short scales Natural number 1000000000 List of numbers Integers ← 10 0 10 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 Cardinal One billion (short scale) One thousand million, or one milliard (long scale) Ordinal One billionth (short ...
Scientific notation was devised to manage the vast range of values encountered in scientific research. For instance, when we write 1.0 × 10 9, we express one billion—a 1 followed by nine zeros: 1,000,000,000.
For example, 9!! = 1 × 3 × 5 × 7 × 9 = 945. Double factorials are used in trigonometric integrals, [92] in expressions for the gamma function at half-integers and the volumes of hyperspheres, [93] and in counting binary trees and perfect matchings. [91] [94] Exponential factorial
34,459,425 = double factorial of 17 34,012,224 = 5832 2 = 324 3 = 18 6 34,636,834 = number of 31-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed [ 15 ]
For the $1.1 billion jackpot, you’d get 30 average annual payments of $36.6 million. But after federal taxes — amounting to more than $13 million — the net total per year would be around $23 ...
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The total number of grains can be shown to be 2 64 −1 or 18,446,744,073,709,551,615 (eighteen quintillion, four hundred forty-six quadrillion, seven hundred forty-four trillion, seventy-three billion, seven hundred nine million, five hundred fifty-one thousand, six hundred and fifteen, over 1.4 trillion metric tons), which is over 2,000 times ...