Search a number
-
+
153431401462254 = 23319745120070229
BaseRepresentation
bin100010111000101110001000…
…001011100111100111101110
3202010020220021011201000001000
4202320232020023213213232
5130102310002233243004
61302153225054101130
744214024106013226
oct4270561013474756
9663226234630030
10153431401462254
114498498a1a4733
1215260049aaa7a6
13677c699540436
1429c6195ad3086
1512b1182228c39
hex8b8b882e79ee

153431401462254 has 64 divisors (see below), whose sum is σ = 358952049504000. Its totient is φ = 48445516346400.

The previous prime is 153431401462223. The next prime is 153431401462279. The reversal of 153431401462254 is 452264104134351.

153431401462254 is a `hidden beast` number, since 1 + 5 + 3 + 4 + 3 + 1 + 4 + 0 + 14 + 622 + 5 + 4 = 666.

It is a congruent number.

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, 2390389 + ... + 17679840.

It is an arithmetic number, because the mean of its divisors is an integer number (5608625773500).

Almost surely, 2153431401462254 is an apocalyptic number.

153431401462254 is an abundant number, since it is smaller than the sum of its proper divisors (205520648041746).

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

153431401462254 is a wasteful number, since it uses less digits than its factorization.

153431401462254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20077710 (or 20077704 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 153431401462254 in words is "one hundred fifty-three trillion, four hundred thirty-one billion, four hundred one million, four hundred sixty-two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 7451 14902 22353 44706 67059 134118 141569 201177 283138 402354 424707 849414 1274121 2548242 3822363 7644726 20070229 40140458 60210687 120421374 180632061 361264122 381334351 541896183 762668702 1083792366 1144003053 2288006106 3432009159 6864018318 10296027477 20592054954 149543276279 299086552558 448629828837 897259657674 1345889486511 2691778973022 2841322249301 4037668459533 5682644498602 8075336919066 8523966747903 17047933495806 25571900243709 51143800487418 76715700731127 153431401462254