Search a number
-
+
3131304962748 = 22331137472313009
BaseRepresentation
bin101101100100010000010…
…100011110101010111100
3102002100110000201111102120
4231210100110132222330
5402300403032301443
610354300204322540
7442141441011414
oct55442024365274
912070400644376
103131304962748
11aa7a85022716
12426a4b843450
13199385b89531
14ab7ad815644
15566bbe28083
hex2d91051eabc

3131304962748 has 96 divisors (see below), whose sum is σ = 7599312107520. Its totient is φ = 1002436024320.

The previous prime is 3131304962699. The next prime is 3131304962749. The reversal of 3131304962748 is 8472694031313.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3131304962748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3131304962749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240696468 + ... + 240709476.

It is an arithmetic number, because the mean of its divisors is an integer number (79159501120).

Almost surely, 23131304962748 is an apocalyptic number.

It is an amenable number.

3131304962748 is an abundant number, since it is smaller than the sum of its proper divisors (4468007144772).

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

3131304962748 is a wasteful number, since it uses less digits than its factorization.

3131304962748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17907 (or 17905 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 3131304962748 in words is "three trillion, one hundred thirty-one billion, three hundred four million, nine hundred sixty-two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 137 186 274 372 411 548 822 1644 4247 4723 8494 9446 12741 13009 14169 16988 18892 25482 26018 28338 39027 50964 52036 56676 78054 146413 156108 292826 403279 439239 585652 647051 806558 878478 1209837 1294102 1613116 1756956 1782233 1941153 2419674 2588204 3564466 3882306 4839348 5346699 7128932 7764612 10693398 20058581 21386796 40117162 55249223 60175743 61441507 80234324 110498446 120351486 122883014 165747669 184324521 220996892 240702972 245766028 331495338 368649042 662990676 737298084 1904686717 3809373434 5714060151 7618746868 8417486459 11428120302 16834972918 22856240604 25252459377 33669945836 50504918754 101009837508 260942080229 521884160458 782826240687 1043768320916 1565652481374 3131304962748