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31420804352 = 287157111161
BaseRepresentation
bin11101010000110100…
…110110110100000000
310000002202210020112112
4131100310312310000
51003322211214402
622233504514452
72161431300410
oct352064666400
9100082706475
1031420804352
1112364252403
12610a91ba28
132c69849132
141741014640
15c3d72ce52
hex750d36d00

31420804352 has 72 divisors (see below), whose sum is σ = 71730762432. Its totient is φ = 13456281600.

The previous prime is 31420804309. The next prime is 31420804423. The reversal of 31420804352 is 25340802413.

It is a super-2 number, since 2×314208043522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 2809652 + ... + 2820812.

Almost surely, 231420804352 is an apocalyptic number.

31420804352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31420804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35865381216).

31420804352 is an abundant number, since it is smaller than the sum of its proper divisors (40309958080).

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

31420804352 is a wasteful number, since it uses less digits than its factorization.

31420804352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12755 (or 12741 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 31420804352 in words is "thirty-one billion, four hundred twenty million, eight hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1571 1792 3142 6284 10997 11161 12568 21994 22322 25136 43988 44644 50272 78127 87976 89288 100544 156254 175952 178576 201088 312508 351904 357152 402176 625016 703808 714304 1250032 1407616 1428608 2500064 2815232 2857216 5000128 10000256 17533931 20000512 35067862 70135724 122737517 140271448 245475034 280542896 490950068 561085792 981900136 1122171584 1963800272 2244343168 3927600544 4488686336 7855201088 15710402176 31420804352