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40315504512 = 273107981199
BaseRepresentation
bin100101100010111111…
…011100011110000000
310212001122201211022210
4211202333130132000
51130031232121022
630304245102120
72625025064013
oct454277343600
9125048654283
1040315504512
1116109062278
1279916b7940
133a5654b51a
141d4645937a
1510ae559a0c
hex962fdc780

40315504512 has 64 divisors (see below), whose sum is σ = 108088992000. Its totient is φ = 13312894464.

The previous prime is 40315504501. The next prime is 40315504513. The reversal of 40315504512 is 21540551304.

40315504512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 40315504512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40315504513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449512 + ... + 531687.

It is an arithmetic number, because the mean of its divisors is an integer number (1688890500).

Almost surely, 240315504512 is an apocalyptic number.

It is an amenable number.

40315504512 is an abundant number, since it is smaller than the sum of its proper divisors (67773487488).

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

40315504512 is a wasteful number, since it uses less digits than its factorization.

40315504512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981323 (or 981311 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 40315504512 in words is "forty billion, three hundred fifteen million, five hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 321 384 428 642 856 1284 1712 2568 3424 5136 6848 10272 13696 20544 41088 981199 1962398 2943597 3924796 5887194 7849592 11774388 15699184 23548776 31398368 47097552 62796736 94195104 104988293 125593472 188390208 209976586 314964879 376780416 419953172 629929758 839906344 1259859516 1679812688 2519719032 3359625376 5039438064 6719250752 10078876128 13438501504 20157752256 40315504512