This page contains numbers appearing in computer arithmetic.

## List of numbers appearing in computer arithmetic Edit

**32,767** is a positive integer equal to \(2^{15} - 1 = 2^{2^4 - 1} - 1\). It is notable in computer science for being the maximum value of a 16-bit signed integer, which spans the range [-32768, 32767]. In English, its full name is "thirty-two thousand seven hundred sixty-seven." Its prime factorization is 7 × 31 × 151.

There are 2 × 192 × 9 × 10^{6} + 2 × 10^{6} - 1 = **3,457,999,999** different finite numbers, which can be represented exactly in the 32-bit decimal floating point format.

Its prime factorization is 53 × 73 × 107 × 8,353.

There are 2^{32} - 2^{24} - 1 = **4,278,190,079** different finite numbers, which can be represented exactly in the 32-bit floating point format.

This number is a prime number.

**9,223,372,036,854,775,807 **is a positive integer equal to \(2^{63} - 1 = 2^{2^6 - 1} - 1\). It is notable in computer science for being the maximum value of a 64-bit signed integer, which has the range [-9223372036854775808, 9223372036854775807].

Its full name in English in the short scale is "nine quintillion two hundred twenty-three quadrillion three hundred seventy-two trillion thirty-six billion eight hundred fifty-four million seven hundred seventy-five thousand eight hundred seven".

Its prime factorization is 7^{2} × 73 × 127 × 337 × 92,737 × 649,657.

There are 2 × 768 × 9 × 10^{15} + 2 × 10^{15} - 1 = **13,825,999,999,999,999,999** different finite numbers, which can be represented exactly in the 64-bit decimal floating point format.

Its prime factorization is 11 × 1,256,909,090,909,090,909.

There are 2^{64} - 2^{53} - 1 = **18,437,736,874,454,810,623** different finite numbers, which can be represented exactly in the 64-bit floating point format.

Its prime factorization is 230,999 × 79,817,388,276,377.