Search a number
-
+
31407157638 = 2322389973009
BaseRepresentation
bin11101010000000000…
…110011000110000110
310000001211002220202200
4131100000303012012
51003310213021023
622232300215330
72161204302153
oct352000630606
9100054086680
1031407157638
111235758142a
12610623a546
132c66a7b75c
14173d2a122a
15c3c434743
hex750033186

31407157638 has 24 divisors (see below), whose sum is σ = 68052621000. Its totient is φ = 10468471104.

The previous prime is 31407157601. The next prime is 31407157651. The reversal of 31407157638 is 83675170413.

31407157638 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 7 + 1 + 5 + 7 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31407157593 and 31407157602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393678 + ... + 466686.

It is an arithmetic number, because the mean of its divisors is an integer number (2835525875).

Almost surely, 231407157638 is an apocalyptic number.

31407157638 is an abundant number, since it is smaller than the sum of its proper divisors (36645463362).

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

31407157638 is a wasteful number, since it uses less digits than its factorization.

31407157638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96916 (or 96913 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 31407157638 in words is "thirty-one billion, four hundred seven million, one hundred fifty-seven thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 23899 47798 71697 73009 143394 146018 215091 219027 430182 438054 657081 1314162 1744842091 3489684182 5234526273 10469052546 15703578819 31407157638