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31367149344 = 2533172135563
BaseRepresentation
bin11101001101101000…
…001011011100100000
32222222000211021201000
4131031220023130200
51003214442234334
622224310512000
72160210240666
oct351550133440
988860737630
1031367149344
1112336a35623
1260b4965600
132c5b6b11cb
141737c48c36
15c38b80299
hex74da0b720

31367149344 has 96 divisors (see below), whose sum is σ = 96869183040. Its totient is φ = 9840669696.

The previous prime is 31367149271. The next prime is 31367149349. The reversal of 31367149344 is 44394176313.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 31367149344.

It is not an unprimeable number, because it can be changed into a prime (31367149349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053094 + ... + 1082469.

It is an arithmetic number, because the mean of its divisors is an integer number (1009053990).

Almost surely, 231367149344 is an apocalyptic number.

31367149344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31367149344 is an abundant number, since it is smaller than the sum of its proper divisors (65502033696).

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

31367149344 is a wasteful number, since it uses less digits than its factorization.

31367149344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135599 (or 2135585 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 31367149344 in words is "thirty-one billion, three hundred sixty-seven million, one hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 2135563 4271126 6406689 8542252 12813378 17084504 19220067 25626756 34169008 36304571 38440134 51253512 57660201 68338016 72609142 76880268 102507024 108913713 115320402 145218284 153760536 205014048 217827426 230640804 290436568 307521072 326741139 435654852 461281608 580873136 615042144 653482278 871309704 922563216 980223417 1161746272 1306964556 1742619408 1845126432 1960446834 2613929112 3485238816 3920893668 5227858224 7841787336 10455716448 15683574672 31367149344