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151014340560 = 2435629226419
BaseRepresentation
bin1000110010100100100…
…1111111011111010000
3112102210110010100112110
42030221021333133100
54433234132344220
6153213001225320
713624163500236
oct2145111773720
9472713110473
10151014340560
1159054727236
1225326492240
131131876aa85
147448392956
153ddcb94be0
hex232927f7d0

151014340560 has 40 divisors (see below), whose sum is σ = 468144456480. Its totient is φ = 40270490752.

The previous prime is 151014340489. The next prime is 151014340577. The reversal of 151014340560 is 65043410151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1510143405603 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314612970 + ... + 314613449.

It is an arithmetic number, because the mean of its divisors is an integer number (11703611412).

Almost surely, 2151014340560 is an apocalyptic number.

151014340560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151014340560 is an abundant number, since it is smaller than the sum of its proper divisors (317130115920).

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

151014340560 is a wasteful number, since it uses less digits than its factorization.

151014340560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629226435 (or 629226429 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 151014340560 in words is "one hundred fifty-one billion, fourteen million, three hundred forty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 629226419 1258452838 1887679257 2516905676 3146132095 3775358514 5033811352 6292264190 7550717028 9438396285 10067622704 12584528380 15101434056 18876792570 25169056760 30202868112 37753585140 50338113520 75507170280 151014340560