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1432454634234 = 23613238131741
BaseRepresentation
bin10100110110000100111…
…100110001101011111010
312001221102020010001000000
4110312010330301223322
5141432131341243414
63014021030053430
7205330363330641
oct24660474615372
95057366101000
101432454634234
1150255632a358
121b17521aa276
13a51066a6460
144d48ca56358
15273dc502b09
hex14d84f31afa

1432454634234 has 112 divisors (see below), whose sum is σ = 3470927136264. Its totient is φ = 440556278400.

The previous prime is 1432454634157. The next prime is 1432454634257. The reversal of 1432454634234 is 4324364542341.

1432454634234 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 4 + 5 + 4 + 634 + 2 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 612623986209 + 819830648025 = 782703^2 + 905445^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1432454634234.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 45113604 + ... + 45145344.

Almost surely, 21432454634234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1432454634234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735463568132).

1432454634234 is an abundant number, since it is smaller than the sum of its proper divisors (2038472502030).

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

1432454634234 is a wasteful number, since it uses less digits than its factorization.

1432454634234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34155 (or 34140 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

The spelling of 1432454634234 in words is "one trillion, four hundred thirty-two billion, four hundred fifty-four million, six hundred thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 351 486 702 729 1053 1458 2106 2381 3159 4762 6318 7143 9477 14286 18954 21429 30953 31741 42858 61906 63482 64287 92859 95223 128574 185718 190446 192861 278577 285669 385722 412633 557154 571338 578583 825266 835731 857007 1157166 1237899 1671462 1714014 1735749 2475798 2507193 2571021 3471498 3713697 5014386 5142042 7427394 7521579 7713063 11141091 15043158 15426126 22282182 22564737 23139189 33423273 45129474 46278378 66846546 75575321 100269819 151150642 200539638 226725963 300809457 453451926 601618914 680177889 982479173 1360355778 1964958346 2040533667 2947437519 4081067334 5894875038 6121601001 8842312557 12243202002 17684625114 18364803003 26526937671 36729606006 53053875342 55094409009 79580813013 110188818018 159161626026 238742439039 477484878078 716227317117 1432454634234