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34131410424 = 2333374270697
BaseRepresentation
bin11111110010011000…
…111111110111111000
310021002200021022001000
4133302120333313320
51024400120113144
623402454325000
72315544126126
oct376230776770
9107080238030
1034131410424
1113525322911
126746659760
1332ac2a7257
14191b008916
15d4b6aa769
hex7f263fdf8

34131410424 has 64 divisors (see below), whose sum is σ = 97371914400. Its totient is φ = 11069644032.

The previous prime is 34131410407. The next prime is 34131410447. The reversal of 34131410424 is 42401413143.

34131410424 is a `hidden beast` number, since 341 + 314 + 1 + 0 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2127357 + ... + 2143340.

Almost surely, 234131410424 is an apocalyptic number.

It is an amenable number.

34131410424 is an abundant number, since it is smaller than the sum of its proper divisors (63240503976).

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

34131410424 is a wasteful number, since it uses less digits than its factorization.

34131410424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270749 (or 4270739 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34131410424 its reverse (42401413143), we get a palindrome (76532823567).

The spelling of 34131410424 in words is "thirty-four billion, one hundred thirty-one million, four hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2664 3996 7992 4270697 8541394 12812091 17082788 25624182 34165576 38436273 51248364 76872546 102496728 115308819 153745092 158015789 230617638 307490184 316031578 461235276 474047367 632063156 922470552 948094734 1264126312 1422142101 1896189468 2844284202 3792378936 4266426303 5688568404 8532852606 11377136808 17065705212 34131410424