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128152608714 = 232131237442733
BaseRepresentation
bin111011101011001111…
…1011001111111001010
3110020210011202001012100
41313112133121333022
54044424031434324
6134512243054230
712154512125634
oct1672637317712
9406704661170
10128152608714
114a392896779
1220a06071376
13c1142308b0
1462b9db7a54
153500a984c9
hex1dd67d9fca

128152608714 has 48 divisors (see below), whose sum is σ = 299265161832. Its totient is φ = 39399606144.

The previous prime is 128152608709. The next prime is 128152608743. The reversal of 128152608714 is 417806251821.

128152608714 is a `hidden beast` number, since 1 + 28 + 1 + 5 + 2 + 608 + 7 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124808878089 + 3343730625 = 353283^2 + 57825^2 .

It is a super-2 number, since 2×1281526087142 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 128152608714.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68092 + ... + 510824.

Almost surely, 2128152608714 is an apocalyptic number.

128152608714 is an abundant number, since it is smaller than the sum of its proper divisors (171112553118).

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

128152608714 is a wasteful number, since it uses less digits than its factorization.

128152608714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443991 (or 443988 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 128152608714 in words is "one hundred twenty-eight billion, one hundred fifty-two million, six hundred eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1237 2474 3711 7422 11133 16081 22266 32162 48243 96486 144729 289458 442733 885466 1328199 2656398 3984597 5755529 7969194 11511058 17266587 34533174 51799761 103599522 547660721 1095321442 1642982163 3285964326 4928946489 7119589373 9857892978 14239178746 21358768119 42717536238 64076304357 128152608714