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14314018866552 = 23321311997626139
BaseRepresentation
bin1101000001001011111000…
…0000101000010101111000
31212200101222120211012010100
43100102332000220111320
53334010102312212202
650235434113115400
73005103505600116
oct320227600502570
955611876735110
1014314018866552
1146195a5536909
12173219bb58b60
137caa63268c62
14376b33398ab6
1519c5191ba41c
hexd04be028578

14314018866552 has 96 divisors (see below), whose sum is σ = 39259368720000. Its totient is φ = 4711123010880.

The previous prime is 14314018866509. The next prime is 14314018866557. The reversal of 14314018866552 is 25566881041341.

14314018866552 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 4 + 0 + 1 + 8 + 86 + 6 + 552 = 666.

It is a super-2 number, since 2×143140188665522 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314018866557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1936102 + ... + 5690037.

It is an arithmetic number, because the mean of its divisors is an integer number (408951757500).

Almost surely, 214314018866552 is an apocalyptic number.

14314018866552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14314018866552 is an abundant number, since it is smaller than the sum of its proper divisors (24945349853448).

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

14314018866552 is a wasteful number, since it uses less digits than its factorization.

14314018866552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626481 (or 7626474 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 14314018866552 in words is "fourteen trillion, three hundred fourteen billion, eighteen million, eight hundred sixty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 199 262 393 398 524 597 786 796 1048 1179 1194 1572 1592 1791 2358 2388 3144 3582 4716 4776 7164 9432 14328 26069 52138 78207 104276 156414 208552 234621 312828 469242 625656 938484 1876968 7626139 15252278 22878417 30504556 45756834 61009112 68635251 91513668 137270502 183027336 274541004 549082008 999024209 1517601661 1998048418 2997072627 3035203322 3996096836 4552804983 5994145254 6070406644 7992193672 8991217881 9105609966 11988290508 12140813288 13658414949 17982435762 18211219932 23976581016 27316829898 35964871524 36422439864 54633659796 71929743048 109267319592 198805817591 397611635182 596417452773 795223270364 1192834905546 1590446540728 1789252358319 2385669811092 3578504716638 4771339622184 7157009433276 14314018866552