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31244651316 = 223610714901
BaseRepresentation
bin11101000110010100…
…111000101100110100
32222122111022202000000
4131012110320230310
51002442112320231
622204213151300
72154162103614
oct350624705464
988574282000
1031244651316
1112283877a8a
12607b92b530
132c3c1c1278
14172587ca44
15c2d0346e6
hex746538b34

31244651316 has 42 divisors (see below), whose sum is σ = 81979715202. Its totient is φ = 10414882800.

The previous prime is 31244651311. The next prime is 31244651353. The reversal of 31244651316 is 61315644213.

31244651316 is a `hidden beast` number, since 3 + 124 + 4 + 6 + 513 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19696999716 + 11547651600 = 140346^2 + 107460^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31244651311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 5354535 + ... + 5360366.

It is an arithmetic number, because the mean of its divisors is an integer number (1951897981).

Almost surely, 231244651316 is an apocalyptic number.

31244651316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31244651316 is an abundant number, since it is smaller than the sum of its proper divisors (50735063886).

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

31244651316 is a wasteful number, since it uses less digits than its factorization.

31244651316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10714923 (or 10714906 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 31244651316 in words is "thirty-one billion, two hundred forty-four million, six hundred fifty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 10714901 21429802 32144703 42859604 64289406 96434109 128578812 192868218 289302327 385736436 578604654 867906981 1157209308 1735813962 2603720943 3471627924 5207441886 7811162829 10414883772 15622325658 31244651316