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151415066404 = 227217371228181
BaseRepresentation
bin1000110100000100001…
…0101000111100100100
3112110211101011100001101
42031001002220330210
54440044224111104
6153320434205444
713640130554200
oct2150102507444
9473741140041
10151415066404
115923a948518
1225418723884
13113807a4864
1474856a5b00
153e12e4d5a4
hex23410a8f24

151415066404 has 72 divisors (see below), whose sum is σ = 335190518712. Its totient is φ = 59424261120.

The previous prime is 151415066377. The next prime is 151415066459. The reversal of 151415066404 is 404660514151.

It can be written as a sum of positive squares in 4 ways, for example, as 75295360000 + 76119706404 = 274400^2 + 275898^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 490807 + ... + 737374.

It is an arithmetic number, because the mean of its divisors is an integer number (4655423871).

Almost surely, 2151415066404 is an apocalyptic number.

151415066404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151415066404 is an abundant number, since it is smaller than the sum of its proper divisors (183775452308).

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

151415066404 is a wasteful number, since it uses less digits than its factorization.

151415066404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228253 (or 1228244 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 151415066404 in words is "one hundred fifty-one billion, four hundred fifteen million, sixty-six thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 37 49 68 74 98 119 148 196 238 259 476 518 629 833 1036 1258 1666 1813 2516 3332 3626 4403 7252 8806 17612 30821 61642 123284 1228181 2456362 4912724 8597267 17194534 20879077 34389068 41758154 45442697 60180869 83516308 90885394 120361738 146153539 181770788 240723476 292307078 318098879 584614156 636197758 772525849 1023074773 1272395516 1545051698 2046149546 2226692153 3090103396 4092299092 4453384306 5407680943 8906768612 10815361886 21630723772 37853766601 75707533202 151415066404