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31312444432 = 2417397289973
BaseRepresentation
bin11101001010010111…
…011111110000010000
32222211012212222200011
4131022113133300100
51003111441210212
622215034204304
72155644246313
oct351227376020
988735788604
1031312444432
1112309070a55
12609a583694
132c50269439
14173088897a
15c33e764a7
hex74a5dfc10

31312444432 has 40 divisors (see below), whose sum is σ = 64398585816. Its totient is φ = 14698100736.

The previous prime is 31312444393. The next prime is 31312444441. The reversal of 31312444432 is 23444421313.

It can be written as a sum of positive squares in 4 ways, for example, as 21516195856 + 9796248576 = 146684^2 + 98976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31312444394 and 31312444403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37003 + ... + 252970.

Almost surely, 231312444432 is an apocalyptic number.

It is an amenable number.

31312444432 is an abundant number, since it is smaller than the sum of its proper divisors (33086141384).

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

31312444432 is a wasteful number, since it uses less digits than its factorization.

31312444432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290395 (or 290389 counting only the distinct ones).

The product of its digits is 27648, while the sum is 31.

Adding to 31312444432 its reverse (23444421313), we get a palindrome (54756865745).

The spelling of 31312444432 in words is "thirty-one billion, three hundred twelve million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 136 272 397 794 1588 3176 6352 6749 13498 26996 53992 107984 289973 579946 1159892 2319784 4639568 4929541 9859082 19718164 39436328 78872656 115119281 230238562 460477124 920954248 1841908496 1957027777 3914055554 7828111108 15656222216 31312444432