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14057240568 = 23371716992897
BaseRepresentation
bin11010001011110000…
…00111011111111000
31100021200011210212120
431011320013133320
5212242123144233
610242515241240
71005231400440
oct150570073770
940250153776
1014057240568
115a63a44998
1228838a9220
131430430b37
14974d37120
1557418d4b3
hex345e077f8

14057240568 has 128 divisors (see below), whose sum is σ = 42565824000. Its totient is φ = 3776569344.

The previous prime is 14057240539. The next prime is 14057240591. The reversal of 14057240568 is 86504275041.

It is a happy number.

It is a super-3 number, since 3×140572405683 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4850896 + ... + 4853792.

It is an arithmetic number, because the mean of its divisors is an integer number (332545500).

Almost surely, 214057240568 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 14057240568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21282912000).

14057240568 is an abundant number, since it is smaller than the sum of its proper divisors (28508583432).

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

14057240568 is a wasteful number, since it uses less digits than its factorization.

14057240568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4629 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 14057240568 in words is "fourteen billion, fifty-seven million, two hundred forty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 1699 2856 2897 3398 5097 5794 6796 8691 10194 11588 11893 13592 17382 20279 20388 23176 23786 28883 34764 35679 40558 40776 47572 49249 57766 60837 69528 71358 81116 86649 95144 98498 115532 121674 142716 147747 162232 173298 196996 202181 231064 243348 285432 295494 344743 346596 393992 404362 486696 590988 606543 689486 693192 808724 1034229 1181976 1213086 1378972 1617448 2068458 2426172 2757944 4136916 4852344 4922003 8273832 9844006 14766009 19688012 29532018 34454021 39376024 59064036 68908042 83674051 103362063 118128072 137816084 167348102 206724126 251022153 275632168 334696204 413448252 502044306 585718357 669392408 826896504 1004088612 1171436714 1757155071 2008177224 2342873428 3514310142 4685746856 7028620284 14057240568