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14057256566421 = 32192947283213119
BaseRepresentation
bin1100110010001111010111…
…0010001011111010010101
31211202212020101020220010200
43030203311302023322111
53320303230140111141
645521451534011113
72650413631213455
oct314436562137225
954685211226120
1014057256566421
11452a715950472
1216b0482946a99
137ac7941cb053
14368536823d65
151959dc88bab6
hexcc8f5c8be95

14057256566421 has 96 divisors (see below), whose sum is σ = 22660964352000. Its totient is φ = 8360049688704.

The previous prime is 14057256566413. The next prime is 14057256566429. The reversal of 14057256566421 is 12466565275041.

14057256566421 is a `hidden beast` number, since 1 + 4 + 0 + 5 + 7 + 2 + 56 + 566 + 4 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (14057256566413) and next prime (14057256566429).

It is not a de Polignac number, because 14057256566421 - 23 = 14057256566413 is a prime.

It is a super-3 number, since 3×140572565664213 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14057256566429) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65853100 + ... + 66066218.

It is an arithmetic number, because the mean of its divisors is an integer number (236051712000).

Almost surely, 214057256566421 is an apocalyptic number.

It is an amenable number.

14057256566421 is a deficient number, since it is larger than the sum of its proper divisors (8603707785579).

14057256566421 is a wasteful number, since it uses less digits than its factorization.

14057256566421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213503 (or 213500 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 14057256566421 in words is "fourteen trillion, fifty-seven billion, two hundred fifty-six million, five hundred sixty-six thousand, four hundred twenty-one".

Divisors: 1 3 9 19 29 47 57 87 141 171 261 283 423 551 849 893 1363 1653 2547 2679 4089 4959 5377 8037 8207 12267 13301 16131 24621 25897 39903 48393 73863 77691 119709 155933 213119 233073 252719 385729 467799 639357 758157 1157187 1403397 1918071 2274471 3471561 4049261 6180451 7328851 10016593 12147783 18541353 21986553 30049779 36443349 55624059 60312677 65959659 90149337 117428569 180938031 190315267 290481197 352285707 542814093 570945801 871443591 1056857121 1145940863 1712837403 1749067633 2614330773 2834695819 3437822589 5247202899 5519142743 8504087457 10313467767 15741608697 16557428229 25512262371 33232285027 49672284687 53859220561 82206178751 99696855081 161577661683 246618536253 299090565243 484732985049 739855608759 1561917396269 4685752188807 14057256566421