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14311310464 = 271117597899
BaseRepresentation
bin11010101010000010…
…10100010010000000
31100221101020220020201
431111001110102000
5213302143413324
610324033014544
71014435063133
oct152501242200
940841226221
1014311310464
1160843a8410
1229349b4454
131470c69b59
1499a99221a
1558b628444
hex355054480

14311310464 has 64 divisors (see below), whose sum is σ = 32932332000. Its totient is φ = 6122475520.

The previous prime is 14311310407. The next prime is 14311310521. The reversal of 14311310464 is 46401311341.

It is an interprime number because it is at equal distance from previous prime (14311310407) and next prime (14311310521).

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275014 + ... + 322885.

Almost surely, 214311310464 is an apocalyptic number.

It is an amenable number.

14311310464 is an abundant number, since it is smaller than the sum of its proper divisors (18621021536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14311310464 is a wasteful number, since it uses less digits than its factorization.

14311310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597941 (or 597929 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 14311310464 in words is "fourteen billion, three hundred eleven million, three hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 272 352 374 544 704 748 1088 1408 1496 2176 2992 5984 11968 23936 597899 1195798 2391596 4783192 6576889 9566384 10164283 13153778 19132768 20328566 26307556 38265536 40657132 52615112 76531072 81314264 105230224 111807113 162628528 210460448 223614226 325257056 420920896 447228452 650514112 841841792 894456904 1301028224 1788913808 3577827616 7155655232 14311310464