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31293141336 = 2332434626963
BaseRepresentation
bin11101001001001101…
…110111000101011000
32222202212120021210200
4131021031313011120
51003042021010321
622213104342200
72155321212132
oct351115670530
988685507720
1031293141336
11122a9187286
126094014960
132c4926b2a2
14172c0a2052
15c32411d26
hex749377158

31293141336 has 24 divisors (see below), whose sum is σ = 84752257980. Its totient is φ = 10431047088.

The previous prime is 31293141287. The next prime is 31293141353. The reversal of 31293141336 is 63314139213.

It is a happy number.

31293141336 is a `hidden beast` number, since 3 + 1 + 2 + 9 + 314 + 1 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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

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 31293141336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 217313410 + ... + 217313553.

Almost surely, 231293141336 is an apocalyptic number.

31293141336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31293141336 is an abundant number, since it is smaller than the sum of its proper divisors (53459116644).

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

31293141336 is a wasteful number, since it uses less digits than its factorization.

31293141336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434626975 (or 434626968 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The spelling of 31293141336 in words is "thirty-one billion, two hundred ninety-three million, one hundred forty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 434626963 869253926 1303880889 1738507852 2607761778 3477015704 3911642667 5215523556 7823285334 10431047112 15646570668 31293141336