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12442410020034 = 2331520291515599
BaseRepresentation
bin1011010100001111100101…
…1011011110110011000010
31122001111000221120201021000
42311003321123132303002
53112324023431120114
642243544140112430
72422635343102551
oct265037133366302
948044027521230
1012442410020034
113a678840a0a35
12148b509b35716
136c3411496b27
14310304459d98
151689c7ba5e09
hexb50f96decc2

12442410020034 has 32 divisors (see below), whose sum is σ = 27650000160000. Its totient is φ = 4147439989392.

The previous prime is 12442410020023. The next prime is 12442410020057. The reversal of 12442410020034 is 43002001424421.

12442410020034 is a `hidden beast` number, since 1 + 2 + 4 + 42 + 410 + 0 + 200 + 3 + 4 = 666.

It is a super-2 number, since 2×124424100200342 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7451767 + ... + 8967365.

It is an arithmetic number, because the mean of its divisors is an integer number (864062505000).

Almost surely, 212442410020034 is an apocalyptic number.

12442410020034 is an abundant number, since it is smaller than the sum of its proper divisors (15207590139966).

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

12442410020034 is a wasteful number, since it uses less digits than its factorization.

12442410020034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667639 (or 1667633 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12442410020034 its reverse (43002001424421), we get a palindrome (55444411444455).

The spelling of 12442410020034 in words is "twelve trillion, four hundred forty-two billion, four hundred ten million, twenty thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 152029 304058 456087 912174 1368261 1515599 2736522 3031198 4104783 4546797 8209566 9093594 13640391 27280782 40921173 81842346 230415000371 460830000742 691245001113 1382490002226 2073735003339 4147470006678 6221205010017 12442410020034