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31146541024 = 2517291974299
BaseRepresentation
bin11101000000011110…
…100111111111100000
32222101122201012222111
4131000132213333200
51002242003303044
622150350245104
72151561142024
oct350036477740
988348635874
1031146541024
11122334572a5
126052ab6794
132c24a8c941
141716820384
15c24604b34
hex7407a7fe0

31146541024 has 48 divisors (see below), whose sum is σ = 67165686000. Its totient is φ = 14151768064.

The previous prime is 31146541021. The next prime is 31146541033. The reversal of 31146541024 is 42014564113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31146541021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 971374 + ... + 1002925.

It is an arithmetic number, because the mean of its divisors is an integer number (1399285125).

Almost surely, 231146541024 is an apocalyptic number.

31146541024 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

31146541024 is an abundant number, since it is smaller than the sum of its proper divisors (36019144976).

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

31146541024 is a wasteful number, since it uses less digits than its factorization.

31146541024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974355 (or 1974347 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 31146541024 in words is "thirty-one billion, one hundred forty-six million, five hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 15776 1974299 3948598 7897196 15794392 31588784 33563083 57254671 63177568 67126166 114509342 134252332 229018684 268504664 458037368 537009328 916074736 973329407 1074018656 1832149472 1946658814 3893317628 7786635256 15573270512 31146541024