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The first power of 2 to contain all decimal digits. (sequence A137214 in the OEIS) 2 70 = 1 180 591 620 717 411 303 424 The binary approximation of the zetta-, or 1 000 000 000 000 000 000 000 multiplier. 1 180 591 620 717 411 303 424 bytes = 1 zettabyte [5] (or zebibyte). 2 80 = 1 208 925 819 614 629 174 706 176 The binary approximation of the ...
Graphs of y = b x for various bases b: base 10, base e, base 2, base 1 / 2 . Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1. At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself.
[1] [2] Since the customary ... (10 80), or 100 ... A very large number raised to a very large power is "approximately" equal to the larger of the following two ...
A binary prefix is a unit prefix that indicates a multiple of a unit of measurement by an integer power of two.The most commonly used binary prefixes are kibi (symbol Ki, meaning 2 10 = 1024), mebi (Mi, 2 20 = 1 048 576), and gibi (Gi, 2 30 = 1 073 741 824).
Let the right triangle have sides (u, v, w), where the area equals uv / 2 and, by the Pythagorean theorem, u 2 + v 2 = w 2. If the area were equal to the square of an integer s uv / 2 = s 2. then by algebraic manipulations it would also be the case that 2uv = 4s 2 and −2uv = −4s 2. Adding u 2 + v 2 = w 2 to these equations gives
In the last section of the Disquisitiones [50] [51] Gauss proves [52] that a regular n-gon can be constructed with straightedge and compass if φ(n) is a power of 2. If n is a power of an odd prime number the formula for the totient says its totient can be a power of two only if n is a first power and n − 1 is a power of 2. The primes that ...
32 is the fifth power of two (), making it the first non-unitary fifth-power of the form where is prime. 32 is the totient summatory function over the first 10 integers, [1] and the smallest number with exactly 7 solutions for ().
1/52! chance of a specific shuffle Mathematics: The chances of shuffling a standard 52-card deck in any specific order is around 1.24 × 10 −68 (or exactly 1 ⁄ 52!) [4] Computing: The number 1.4 × 10 −45 is approximately equal to the smallest positive non-zero value that can be represented by a single-precision IEEE floating-point value.