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120640726431 = 3371397158519
BaseRepresentation
bin111000001011010111…
…1110110010110011111
3102112101122210212221000
41300112233312112133
53434033011221211
6131231021241343
711500406153331
oct1602657662637
9375348725830
10120640726431
11471885aa3a5
121b46a403253
13b4b7b72334
145ba6491451
15321136a656
hex1c16bf659f

120640726431 has 32 divisors (see below), whose sum is σ = 181701964800. Its totient is φ = 79094141280.

The previous prime is 120640726429. The next prime is 120640726441. The reversal of 120640726431 is 134627046021.

120640726431 is a `hidden beast` number, since 1 + 2 + 0 + 6 + 4 + 0 + 7 + 2 + 643 + 1 = 666.

It is not a de Polignac number, because 120640726431 - 21 = 120640726429 is a prime.

It is a super-2 number, since 2×1206407264312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120640726411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681790 + ... + 840308.

It is an arithmetic number, because the mean of its divisors is an integer number (5678186400).

Almost surely, 2120640726431 is an apocalyptic number.

120640726431 is a deficient number, since it is larger than the sum of its proper divisors (61061238369).

120640726431 is a wasteful number, since it uses less digits than its factorization.

120640726431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158996 (or 158990 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 120640726431 in words is "one hundred twenty billion, six hundred forty million, seven hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 3 9 27 71 213 397 639 1191 1917 3573 10719 28187 84561 158519 253683 475557 761049 1426671 4280013 11254849 33764547 62932043 101293641 188796129 303880923 566388387 1699165161 4468175053 13404525159 40213575477 120640726431