Search a number
-
+
151142501304 = 23327129566217
BaseRepresentation
bin1000110011000011001…
…0111000101110111000
3112110010101021121000200
42030300302320232320
54434014440020204
6153233420202200
713630311030564
oct2146062705670
9473111247020
10151142501304
1159110002303
1225361399360
1311339191332
14745b3d46a4
153de905d539
hex2330cb8bb8

151142501304 has 48 divisors (see below), whose sum is σ = 415109700720. Its totient is φ = 49671242880.

The previous prime is 151142501261. The next prime is 151142501333. The reversal of 151142501304 is 403105241151.

151142501304 is a `hidden beast` number, since 15 + 1 + 142 + 501 + 3 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14777997 + ... + 14788220.

It is an arithmetic number, because the mean of its divisors is an integer number (8648118765).

Almost surely, 2151142501304 is an apocalyptic number.

It is an amenable number.

151142501304 is an abundant number, since it is smaller than the sum of its proper divisors (263967199416).

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

151142501304 is a wasteful number, since it uses less digits than its factorization.

151142501304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29566300 (or 29566293 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 151142501304 its reverse (403105241151), we get a palindrome (554247742455).

The spelling of 151142501304 in words is "one hundred fifty-one billion, one hundred forty-two million, five hundred one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 142 213 284 426 568 639 852 1278 1704 2556 5112 29566217 59132434 88698651 118264868 177397302 236529736 266095953 354794604 532191906 709589208 1064383812 2099201407 2128767624 4198402814 6297604221 8396805628 12595208442 16793611256 18892812663 25190416884 37785625326 50380833768 75571250652 151142501304