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31342422432 = 2533493672549
BaseRepresentation
bin11101001100001001…
…110110100110100000
32222220022022000202110
4131030021312212200
51003142130004212
622222024515320
72156460123606
oct351411664640
988808260673
1031342422432
1112323a86962
1260a861bb40
132c565343b9
14173484d876
15c368e8a3c
hex74c2769a0

31342422432 has 96 divisors (see below), whose sum is σ = 82766880000. Its totient is φ = 10385077248.

The previous prime is 31342422421. The next prime is 31342422443. The reversal of 31342422432 is 23422424313.

It is an interprime number because it is at equal distance from previous prime (31342422421) and next prime (31342422443).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 31342422432.

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, 12294694 + ... + 12297242.

It is an arithmetic number, because the mean of its divisors is an integer number (862155000).

Almost surely, 231342422432 is an apocalyptic number.

31342422432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31342422432 is an abundant number, since it is smaller than the sum of its proper divisors (51424457568).

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

31342422432 is a wasteful number, since it uses less digits than its factorization.

31342422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3278 (or 3270 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 31342422432 its reverse (23422424313), we get a palindrome (54764846745).

The spelling of 31342422432 in words is "thirty-one billion, three hundred forty-two million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 349 367 698 734 1047 1101 1396 1468 2094 2202 2549 2792 2936 4188 4404 5098 5584 5872 7647 8376 8808 10196 11168 11744 15294 16752 17616 20392 30588 33504 35232 40784 61176 81568 122352 128083 244704 256166 384249 512332 768498 889601 935483 1024664 1536996 1779202 1870966 2049328 2668803 2806449 3073992 3558404 3741932 4098656 5337606 5612898 6147984 7116808 7483864 10675212 11225796 12295968 14233616 14967728 21350424 22451592 28467232 29935456 42700848 44903184 85401696 89806368 326483567 652967134 979450701 1305934268 1958901402 2611868536 3917802804 5223737072 7835605608 10447474144 15671211216 31342422432