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114513212432292 = 223891673533181729
BaseRepresentation
bin11010000010011000101111…
…010110010101111110100100
3120000110100121122222022001220
4122002120233112111332210
5110002141024340313132
61043314351001220340
733056210104314162
oct3202305726257644
9500410548868056
10114513212432292
113353a865079193
1210a155171916b0
134bb871b60761b
14203c67d12a232
15d38b41215a2c
hex68262f595fa4

114513212432292 has 96 divisors (see below), whose sum is σ = 271896110035200. Its totient is φ = 37505356111872.

The previous prime is 114513212432183. The next prime is 114513212432303. The reversal of 114513212432292 is 292234212315411.

It is a super-2 number, since 2×1145132124322922 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630040884 + ... + 630222612.

It is an arithmetic number, because the mean of its divisors is an integer number (2832251146200).

Almost surely, 2114513212432292 is an apocalyptic number.

114513212432292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114513212432292 is an abundant number, since it is smaller than the sum of its proper divisors (157382897602908).

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

114513212432292 is a wasteful number, since it uses less digits than its factorization.

114513212432292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185525 (or 185523 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The spelling of 114513212432292 in words is "one hundred fourteen trillion, five hundred thirteen billion, two hundred twelve million, four hundred thirty-two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 89 167 178 267 334 356 501 534 668 1002 1068 2004 3533 7066 10599 14132 14863 21198 29726 42396 44589 59452 89178 178356 181729 314437 363458 545187 590011 628874 726916 943311 1090374 1180022 1257748 1770033 1886622 2180748 2360044 3540066 3773244 7080132 16173881 30348743 32347762 48521643 52510979 60697486 64695524 91046229 97043286 105021958 121394972 157532937 182092458 194086572 210043916 315065874 364184916 630131748 642048557 1284097114 1926145671 2568194228 2701038127 3852291342 5402076254 7704582684 8103114381 10804152508 16206228762 32412457524 57142321573 107222109019 114284643146 171426964719 214444218038 228569286292 321666327057 342853929438 428888436076 643332654114 685707858876 1286665308228 9542767702691 19085535405382 28628303108073 38171070810764 57256606216146 114513212432292