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40315504968 = 2332236632
BaseRepresentation
bin100101100010111111…
…011100100101001000
310212001122201211221200
4211202333130211020
51130031232124333
630304245104200
72625025065234
oct454277344510
9125048654850
1040315504968
1116109062652
1279916b8060
133a5654b7ab
141d464595c4
1510ae559c13
hex962fdc948

40315504968 has 36 divisors (see below), whose sum is σ = 109192440435. Its totient is φ = 13437933744.

The previous prime is 40315504963. The next prime is 40315504987. The reversal of 40315504968 is 86940551304.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

40315504968 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 550 + 4 + 96 + 8 = 666.

40315504968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20157752484 + 20157752484 = 141978^2 + 141978^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=141978.

It is not an unprimeable number, because it can be changed into a prime (40315504961) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1691905 + ... + 1715567.

Almost surely, 240315504968 is an apocalyptic number.

It is an amenable number.

40315504968 is an abundant number, since it is smaller than the sum of its proper divisors (68876935467).

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

40315504968 is an frugal number, since it uses more digits than its factorization.

40315504968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47338 (or 23668 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 40315504968 in words is "forty billion, three hundred fifteen million, five hundred four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 23663 47326 70989 94652 141978 189304 212967 283956 425934 567912 851868 1703736 559937569 1119875138 1679812707 2239750276 3359625414 4479500552 5039438121 6719250828 10078876242 13438501656 20157752484 40315504968