Search a number
-
+
31132702944 = 253375147603
BaseRepresentation
bin11100111111101001…
…110101100011100000
32222100200200011201000
4130333221311203200
51002224432443234
622145133512000
72151332415540
oct347751654340
988320604630
1031132702944
1112226665572
12604a342600
132c21c56125
141714a5b320
15c232be899
hex73fa758e0

31132702944 has 96 divisors (see below), whose sum is σ = 103775696640. Its totient is φ = 8895056256.

The previous prime is 31132702943. The next prime is 31132702961. The reversal of 31132702944 is 44920723113.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 31132702899 and 31132702908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132702943) 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, 2567754 + ... + 2579849.

It is an arithmetic number, because the mean of its divisors is an integer number (1080996840).

Almost surely, 231132702944 is an apocalyptic number.

It is an amenable number.

31132702944 is an abundant number, since it is smaller than the sum of its proper divisors (72642993696).

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

31132702944 is a wasteful number, since it uses less digits than its factorization.

31132702944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5147629 (or 5147615 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 31132702944 in words is "thirty-one billion, one hundred thirty-two million, seven hundred two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 5147603 10295206 15442809 20590412 30885618 36033221 41180824 46328427 61771236 72066442 82361648 92656854 108099663 123542472 138985281 144132884 164723296 185313708 216199326 247084944 277970562 288265768 324298989 370627416 432398652 494169888 555941124 576531536 648597978 741254832 864797304 972896967 1111882248 1153063072 1297195956 1482509664 1729594608 1945793934 2223764496 2594391912 3459189216 3891587868 4447528992 5188783824 7783175736 10377567648 15566351472 31132702944