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40864115412 = 223629483233
BaseRepresentation
bin100110000011101100…
…001110101011010100
310220110220001011000000
4212003230032223110
51132142203143122
630434523451300
72644436151501
oct460354165324
9126426034000
1040864115412
111636a80080a
127b05386b30
133b130c3663
141d992664a8
1510e27c60ac
hex983b0ead4

40864115412 has 84 divisors (see below), whose sum is σ = 110916700020. Its totient is φ = 13151642112.

The previous prime is 40864115377. The next prime is 40864115473. The reversal of 40864115412 is 21451146804.

40864115412 is a `hidden beast` number, since 4 + 0 + 8 + 641 + 1 + 5 + 4 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16323639696 + 24540475716 = 127764^2 + 156654^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 157053 + ... + 326180.

It is an arithmetic number, because the mean of its divisors is an integer number (1320436905).

Almost surely, 240864115412 is an apocalyptic number.

It is an amenable number.

40864115412 is an abundant number, since it is smaller than the sum of its proper divisors (70052584608).

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

40864115412 is a wasteful number, since it uses less digits than its factorization.

40864115412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483284 (or 483267 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 40864115412 in words is "forty billion, eight hundred sixty-four million, one hundred fifteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 729 783 972 1044 1458 1566 2349 2916 3132 4698 7047 9396 14094 21141 28188 42282 84564 483233 966466 1449699 1932932 2899398 4349097 5798796 8698194 13047291 14013757 17396388 26094582 28027514 39141873 42041271 52189164 56055028 78283746 84082542 117425619 126123813 156567492 168165084 234851238 252247626 352276857 378371439 469702476 504495252 704553714 756742878 1135114317 1409107428 1513485756 2270228634 3405342951 4540457268 6810685902 10216028853 13621371804 20432057706 40864115412