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31044738312 = 2332728799529
BaseRepresentation
bin11100111010011010…
…010001110100001000
32222010120011002220200
4130322122101310020
51002034423111222
622132312252200
72146213631100
oct347232216410
988116132820
1031044738312
1112190a44425
1260249a1060
132c09967753
1417070c0200
15c1a6e5eac
hex73a691d08

31044738312 has 72 divisors (see below), whose sum is σ = 97806775950. Its totient is φ = 8869924224.

The previous prime is 31044738269. The next prime is 31044738323. The reversal of 31044738312 is 21383744013.

31044738312 is a `hidden beast` number, since 3 + 104 + 473 + 83 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30424429476 + 620308836 = 174426^2 + 24906^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4396237 + ... + 4403292.

Almost surely, 231044738312 is an apocalyptic number.

It is an amenable number.

31044738312 is an abundant number, since it is smaller than the sum of its proper divisors (66762037638).

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

31044738312 is a wasteful number, since it uses less digits than its factorization.

31044738312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8799555 (or 8799541 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 31044738312 in words is "thirty-one billion, forty-four million, seven hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 8799529 17599058 26398587 35198116 52797174 61596703 70396232 79195761 105594348 123193406 158391522 184790109 211188696 246386812 316783044 369580218 431176921 492773624 554370327 633566088 739160436 862353842 1108740654 1293530763 1478320872 1724707684 2217481308 2587061526 3449415368 3880592289 4434962616 5174123052 7761184578 10348246104 15522369156 31044738312