Search a number
-
+
3131960951214 = 232962918070187
BaseRepresentation
bin101101100100110111011…
…010111000000110101110
3102002102010202002011102200
4231210313122320012232
5402303224000414324
610354445240402330
7442163624556264
oct55446732700656
912072122064380
103131960951214
11aa8291341547
12426bb34763a6
1319945ba591a4
14ab8329b4434
1556709804ec9
hex2d9376b81ae

3131960951214 has 24 divisors (see below), whose sum is σ = 6786620507160. Its totient is φ = 1043878504848.

The previous prime is 3131960951191. The next prime is 3131960951219. The reversal of 3131960951214 is 4121590691313.

3131960951214 is a `hidden beast` number, since 3 + 1 + 3 + 19 + 609 + 5 + 1 + 21 + 4 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3131960951214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131960951219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8861772 + ... + 9208415.

It is an arithmetic number, because the mean of its divisors is an integer number (282775854465).

Almost surely, 23131960951214 is an apocalyptic number.

3131960951214 is an abundant number, since it is smaller than the sum of its proper divisors (3654659555946).

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

3131960951214 is a wasteful number, since it uses less digits than its factorization.

3131960951214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18079824 (or 18079821 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 3131960951214 in words is "three trillion, one hundred thirty-one billion, nine hundred sixty million, nine hundred fifty-one thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 9629 19258 28887 57774 86661 173322 18070187 36140374 54210561 108421122 162631683 325263366 173997830623 347995661246 521993491869 1043986983738 1565980475607 3131960951214