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14560140265424 = 2413297873067111
BaseRepresentation
bin1101001111100000101111…
…1111010000011111010000
31220112221021012122200201222
43103320023333100133100
53402023131401443144
650544500332544212
73031635564141635
oct323701377203720
956487235580658
1014560140265424
114703a14663686
121771a29622068
138180278ccca0
14384a00a1818c
151a3b2173e2ee
hexd3e0bfd07d0

14560140265424 has 80 divisors (see below), whose sum is σ = 31467833013120. Its totient is φ = 6480091860480.

The previous prime is 14560140265387. The next prime is 14560140265439. The reversal of 14560140265424 is 42456204106541.

It is a super-3 number, since 3×145601402654243 (a number of 40 digits) contains 333 as substring.

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, 3213629 + ... + 6280739.

It is an arithmetic number, because the mean of its divisors is an integer number (393347912664).

Almost surely, 214560140265424 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 14560140265424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733916506560).

14560140265424 is an abundant number, since it is smaller than the sum of its proper divisors (16907692747696).

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

14560140265424 is a wasteful number, since it uses less digits than its factorization.

14560140265424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3067948 (or 3067942 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 44.

The spelling of 14560140265424 in words is "fourteen trillion, five hundred sixty billion, one hundred forty million, two hundred sixty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 787 1508 1574 3016 3148 6032 6296 10231 12592 20462 22823 40924 45646 81848 91292 163696 182584 296699 365168 593398 1186796 2373592 3067111 4747184 6134222 12268444 24536888 39872443 49073776 79744886 88946219 159489772 177892438 318979544 355784876 637959088 711569752 1156300847 1423139504 2312601694 2413816357 4625203388 4827632714 9250406776 9655265428 18500813552 19310530856 31379612641 38621061712 62759225282 70000674353 125518450564 140001348706 251036901128 280002697412 502073802256 560005394824 910008766589 1120010789648 1820017533178 3640035066356 7280070132712 14560140265424