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31312424160 = 2532521744739
BaseRepresentation
bin11101001010010111…
…011010110011100000
32222211012211221212100
4131022113122303200
51003111440033120
622215033530400
72155644133233
oct351227326340
988735757770
1031312424160
11123090577a6
12609a573a00
132c50260144
14173088141a
15c33e70490
hex74a5dace0

31312424160 has 72 divisors (see below), whose sum is σ = 106853652360. Its totient is φ = 8349979392.

The previous prime is 31312424159. The next prime is 31312424179. The reversal of 31312424160 is 6142421313.

It is a happy number.

31312424160 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 242 + 416 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10870930 + ... + 10873809.

It is an arithmetic number, because the mean of its divisors is an integer number (1484078505).

Almost surely, 231312424160 is an apocalyptic number.

31312424160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31312424160 is an abundant number, since it is smaller than the sum of its proper divisors (75541228200).

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

31312424160 is a wasteful number, since it uses less digits than its factorization.

31312424160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21744760 (or 21744749 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 31312424160 its reverse (6142421313), we get a palindrome (37454845473).

The spelling of 31312424160 in words is "thirty-one billion, three hundred twelve million, four hundred twenty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 21744739 43489478 65234217 86978956 108723695 130468434 173957912 195702651 217447390 260936868 326171085 347915824 391405302 434894780 521873736 652342170 695831648 782810604 869789560 978513255 1043747472 1304684340 1565621208 1739579120 1957026510 2087494944 2609368680 3131242416 3479158240 3914053020 5218737360 6262484832 7828106040 10437474720 15656212080 31312424160