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12442744736024 = 23191971931215191
BaseRepresentation
bin1011010100010000110101…
…1000010100100100011000
31122001111220021102001021112
42311010031120110210120
53112330220123023044
642244041254155452
72422646546122121
oct265041530244430
948044807361245
1012442744736024
113a67a36027019
12148b5a2052b88
136c346592b325
14310336aa9048
151689e727109e
hexb510d614918

12442744736024 has 64 divisors (see below), whose sum is σ = 24695606073600. Its totient is φ = 5860949270400.

The previous prime is 12442744735991. The next prime is 12442744736029. The reversal of 12442744736024 is 42063744724421.

It is a happy number.

It is a super-2 number, since 2×124427447360242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12442744736029) 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 15 ways as a sum of consecutive naturals, for example, 57714269 + ... + 57929459.

It is an arithmetic number, because the mean of its divisors is an integer number (385868844900).

Almost surely, 212442744736024 is an apocalyptic number.

It is an amenable number.

12442744736024 is a deficient number, since it is larger than the sum of its proper divisors (12252861337576).

12442744736024 is a wasteful number, since it uses less digits than its factorization.

12442744736024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217344 (or 217340 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 50.

The spelling of 12442744736024 in words is "twelve trillion, four hundred forty-two billion, seven hundred forty-four million, seven hundred thirty-six thousand, twenty-four".

Divisors: 1 2 4 8 19 38 76 152 197 394 788 1576 1931 3743 3862 7486 7724 14972 15448 29944 36689 73378 146756 215191 293512 380407 430382 760814 860764 1521628 1721528 3043256 4088629 7227733 8177258 14455466 16354516 28910932 32709032 42392627 57821864 84785254 169570508 339141016 415533821 805459913 831067642 1610919826 1662135284 3221839652 3324270568 6443679304 7895142599 15790285198 31580570396 63161140792 81860162737 163720325474 327440650948 654881301896 1555343092003 3110686184006 6221372368012 12442744736024