Search a number
-
+
313323044220654 = 231337543719968097
BaseRepresentation
bin100011100111101110011010…
…0110000000010111011101110
31112002101101112200010211210120
41013033130310300002323232
5312031441043310030104
63030214341443345410
7122665562060020656
oct10717346460027356
91462341480124716
10313323044220654
119091a614169576
122b184131682266
13105aa30c191950
145752cb82bd366
1526353b87ebcd9
hex11cf734c02eee

313323044220654 has 64 divisors (see below), whose sum is σ = 693216324042816. Its totient is φ = 93784236355584.

The previous prime is 313323044220653. The next prime is 313323044220661. The reversal of 313323044220654 is 456022440323313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313323044220653) 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, 5707134 + ... + 25675230.

It is an arithmetic number, because the mean of its divisors is an integer number (10831505063169).

Almost surely, 2313323044220654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313323044220654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346608162021408).

313323044220654 is an abundant number, since it is smaller than the sum of its proper divisors (379893279822162).

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

313323044220654 is a wasteful number, since it uses less digits than its factorization.

313323044220654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19973589.

The product of its (nonzero) digits is 1244160, while the sum is 42.

Adding to 313323044220654 its reverse (456022440323313), we get a palindrome (769345484543967).

The spelling of 313323044220654 in words is "three hundred thirteen trillion, three hundred twenty-three billion, forty-four million, two hundred twenty thousand, six hundred fifty-four".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 481 962 1443 2886 5437 10874 16311 32622 70681 141362 201169 212043 402338 424086 603507 1207014 2615197 5230394 7845591 15691182 19968097 39936194 59904291 119808582 259585261 519170522 738819589 778755783 1477639178 1557511566 2216458767 4432917534 9604654657 19209309314 28813963971 57627927942 108566543389 217133086778 325699630167 651399260334 1411365064057 2822730128114 4016962105393 4234095192171 8033924210786 8468190384342 12050886316179 24101772632358 52220507370109 104441014740218 156661522110327 313323044220654