Search a number
-
+
3115456545113 = 112197296944021
BaseRepresentation
bin101101010101011111101…
…011100100000101011001
3102000211112112010110112122
4231111133223210011121
5402020423333420423
610343115421551025
7441040626461243
oct55253753440531
912024475113478
103115456545113
11aa1291aaaa00
12423968115475
13197a2b637513
14aab08a61093
15560908c58c8
hex2d55fae4159

3115456545113 has 24 divisors (see below), whose sum is σ = 3443047783560. Its totient is φ = 2816843321600.

The previous prime is 3115456545067. The next prime is 3115456545199.

It is a happy number.

3115456545113 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 298977116944 + 2816479428169 = 546788^2 + 1678237^2 .

It is not a de Polignac number, because 3115456545113 - 214 = 3115456528729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3115456545613) 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 23 ways as a sum of consecutive naturals, for example, 70750043 + ... + 70794063.

It is an arithmetic number, because the mean of its divisors is an integer number (143460324315).

Almost surely, 23115456545113 is an apocalyptic number.

It is an amenable number.

3115456545113 is a deficient number, since it is larger than the sum of its proper divisors (327591238447).

3115456545113 is a wasteful number, since it uses less digits than its factorization.

3115456545113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47209 (or 47198 counting only the distinct ones).

The product of its digits is 540000, while the sum is 44.

The spelling of 3115456545113 in words is "three trillion, one hundred fifteen billion, four hundred fifty-six million, five hundred forty-five thousand, one hundred thirteen".

Divisors: 1 11 121 197 2167 2969 23837 32659 44021 359249 484231 584893 5326541 6433823 8672137 70772053 95393507 130698349 1049328577 1437681839 15814500229 25747574753 283223322283 3115456545113