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72327342142404 = 22325934052420971
BaseRepresentation
bin10000011100100000000101…
…100010010011001111000100
3100111002102111211110101200200
4100130200011202103033010
533440002344042024104
6413454420002410500
721143322651316356
oct2034400542231704
9314072454411620
1072327342142404
1121055943084508
128141634660a30
13314859291205b
1413c093a8bd0d6
1585660079cb39
hex41c8058933c4

72327342142404 has 36 divisors (see below), whose sum is σ = 185926218507120. Its totient is φ = 23700484995120.

The previous prime is 72327342142357. The next prime is 72327342142409. The reversal of 72327342142404 is 40424124372327.

72327342142404 is a `hidden beast` number, since 7 + 2 + 3 + 27 + 3 + 4 + 214 + 2 + 404 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×723273421424042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72327342142404.

It is not an unprimeable number, because it can be changed into a prime (72327342142409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17026208362 + ... + 17026212609.

Almost surely, 272327342142404 is an apocalyptic number.

It is an amenable number.

72327342142404 is an abundant number, since it is smaller than the sum of its proper divisors (113598876364716).

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

72327342142404 is a wasteful number, since it uses less digits than its factorization.

72327342142404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34052421040 (or 34052421035 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 45.

The spelling of 72327342142404 in words is "seventy-two trillion, three hundred twenty-seven billion, three hundred forty-two million, one hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 34052420971 68104841942 102157262913 136209683884 204314525826 306471788739 408629051652 612943577478 1225887154956 2009092837289 4018185674578 6027278511867 8036371349156 12054557023734 18081835535601 24109114047468 36163671071202 72327342142404