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1314325906764 = 2231329331639091
BaseRepresentation
bin10011001000000011111…
…011011100010101001100
311122122111122001220211120
4103020003323130111030
5133013214413004024
62443443141320540
7163646135606403
oct23100373342514
94578448056746
101314325906764
11467447789a62
12192885106150
1396c2c0a4c50
144788405a63a
15242c6983479
hex13203edc54c

1314325906764 has 96 divisors (see below), whose sum is σ = 3315349357824. Its totient is φ = 402856001280.

The previous prime is 1314325906717. The next prime is 1314325906783. The reversal of 1314325906764 is 4676095234131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144569859 + ... + 144578949.

It is an arithmetic number, because the mean of its divisors is an integer number (34534889144).

Almost surely, 21314325906764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314325906764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657674678912).

1314325906764 is an abundant number, since it is smaller than the sum of its proper divisors (2001023451060).

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

1314325906764 is a wasteful number, since it uses less digits than its factorization.

1314325906764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567 (or 12565 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 1314325906764 in words is "one trillion, three hundred fourteen billion, three hundred twenty-five million, nine hundred six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 293 586 879 1172 1758 3163 3516 3809 6326 7618 9091 9489 11427 12652 15236 18182 18978 22854 27273 36364 37956 41119 45708 54546 82238 109092 118183 123357 164476 236366 246714 354549 472732 493428 709098 926759 1418196 1853518 2663663 2780277 3707036 5327326 5560554 7990989 10654652 11121108 12047867 15981978 24095734 28754833 31963956 34627619 36143601 48191468 57509666 69255238 72287202 86264499 103882857 115019332 138510476 144574404 172528998 207765714 345057996 373812829 415531428 747625658 1121438487 1495251316 2242876974 4485753948 8425166069 16850332138 25275498207 33700664276 50550996414 101101992828 109527158897 219054317794 328581476691 438108635588 657162953382 1314325906764