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14013389664 = 253368323747
BaseRepresentation
bin11010000110100001…
…10101101101100000
31100011121122221202000
431003100311231200
5212144411432124
610234311324000
71004156563311
oct150320655540
940147587660
1014013389664
115a4121407a
122871080600
131424319561
1496d1a0608
155703ca6c9
hex343435b60

14013389664 has 96 divisors (see below), whose sum is σ = 40933952640. Its totient is φ = 4664094336.

The previous prime is 14013389633. The next prime is 14013389683. The reversal of 14013389664 is 46698331041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578239 + ... + 601985.

It is an arithmetic number, because the mean of its divisors is an integer number (426395340).

Almost surely, 214013389664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14013389664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20466976320).

14013389664 is an abundant number, since it is smaller than the sum of its proper divisors (26920562976).

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

14013389664 is a wasteful number, since it uses less digits than its factorization.

14013389664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24449 (or 24435 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 14013389664 in words is "fourteen billion, thirteen million, three hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 683 864 1366 2049 2732 4098 5464 6147 8196 10928 12294 16392 18441 21856 23747 24588 32784 36882 47494 49176 65568 71241 73764 94988 98352 142482 147528 189976 196704 213723 284964 295056 379952 427446 569928 590112 641169 759904 854892 1139856 1282338 1709784 2279712 2564676 3419568 5129352 6839136 10258704 16219201 20517408 32438402 48657603 64876804 97315206 129753608 145972809 194630412 259507216 291945618 389260824 437918427 519014432 583891236 778521648 875836854 1167782472 1557043296 1751673708 2335564944 3503347416 4671129888 7006694832 14013389664