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314869968963 = 321131163629429
BaseRepresentation
bin1001001010011111011…
…01100111000001000011
31010002201211101201101100
410211033231213001003
520124323203001323
6400352124105443
731514525401464
oct4451755470103
91102654351340
10314869968963
11111598986050
1251035395283
13238cc74b004
141134dd98d6b
1582ccd8a943
hex494fb67043

314869968963 has 48 divisors (see below), whose sum is σ = 515306787840. Its totient is φ = 183541204800.

The previous prime is 314869968953. The next prime is 314869968971. The reversal of 314869968963 is 369869968413.

314869968963 is a `hidden beast` number, since 3 + 1 + 486 + 9 + 9 + 6 + 89 + 63 = 666.

It is not a de Polignac number, because 314869968963 - 210 = 314869967939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314869968891 and 314869968900.

It is not an unprimeable number, because it can be changed into a prime (314869968953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185533 + ... + 814961.

It is an arithmetic number, because the mean of its divisors is an integer number (10735558080).

Almost surely, 2314869968963 is an apocalyptic number.

314869968963 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

314869968963 is a deficient number, since it is larger than the sum of its proper divisors (200436818877).

314869968963 is a wasteful number, since it uses less digits than its factorization.

314869968963 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629640 (or 629637 counting only the distinct ones).

The product of its digits is 362797056, while the sum is 72.

The spelling of 314869968963 in words is "three hundred fourteen billion, eight hundred sixty-nine million, nine hundred sixty-eight thousand, nine hundred sixty-three".

Divisors: 1 3 9 11 31 33 93 99 163 279 341 489 1023 1467 1793 3069 5053 5379 15159 16137 45477 55583 166749 500247 629429 1888287 5664861 6923719 19512299 20771157 58536897 62313471 102596927 175610691 214635289 307790781 643905867 923372343 1128566197 1931717601 3180504737 3385698591 9541514211 10157095773 28624542633 34985552107 104956656321 314869968963