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40964799746904 = 23311214106336001
BaseRepresentation
bin10010101000001110111000…
…10101100101001101011000
312101001012022022212022020220
421110013130111211031120
520332131402213400104
6223042545203120040
711425415632426125
oct1124073425451530
9171035268768226
1040964799746904
111206408a563900
124717304673020
1319b1c6bcc7077
14a189c79a974c
154b08c60487d9
hex2541dc565358

40964799746904 has 48 divisors (see below), whose sum is σ = 112568561295960. Its totient is φ = 12413575680000.

The previous prime is 40964799746867. The next prime is 40964799746933.

40964799746904 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×409647997469042 (a number of 28 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 40964799746904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7053165097 + ... + 7053170904.

Almost surely, 240964799746904 is an apocalyptic number.

40964799746904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40964799746904 is an abundant number, since it is smaller than the sum of its proper divisors (71603761549056).

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

40964799746904 is a wasteful number, since it uses less digits than its factorization.

40964799746904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14106336032 (or 14106336017 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 78.

The spelling of 40964799746904 in words is "forty trillion, nine hundred sixty-four billion, seven hundred ninety-nine million, seven hundred forty-six thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 14106336001 28212672002 42319008003 56425344004 84638016006 112850688008 155169696011 169276032012 310339392022 338552064024 465509088033 620678784044 931018176066 1241357568088 1706866656121 1862036352132 3413733312242 3724072704264 5120599968363 6827466624484 10241199936726 13654933248968 20482399873452 40964799746904