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40568405056 = 2617214812
BaseRepresentation
bin100101110010000100…
…001011110001000000
310212201021121111122121
4211302010023301000
51131041002430211
630345321414024
72634215516254
oct456204136100
9125637544577
1040568405056
1116228897193
127a4233a314
133a96a6820a
141d6bc8c264
1510c6863271
hex97210bc40

40568405056 has 63 divisors (see below), whose sum is σ = 85574733727. Its totient is φ = 19078123520.

The previous prime is 40568405041. The next prime is 40568405063. The reversal of 40568405056 is 65050486504.

The square root of 40568405056 is 201416.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1989160000 + 38579245056 = 44600^2 + 196416^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27391836 + ... + 27393316.

Almost surely, 240568405056 is an apocalyptic number.

40568405056 is the 201416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40568405056

40568405056 is an abundant number, since it is smaller than the sum of its proper divisors (45006328671).

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

40568405056 is an frugal number, since it uses more digits than its factorization.

40568405056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 43.

The spelling of 40568405056 in words is "forty billion, five hundred sixty-eight million, four hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 1481 2312 2962 4624 5924 9248 11848 18496 23696 25177 47392 50354 94784 100708 201416 402832 428009 805664 856018 1611328 1712036 2193361 3424072 4386722 6848144 8773444 13696288 17546888 27392576 35093776 37287137 70187552 74574274 140375104 149148548 298297096 596594192 633881329 1193188384 1267762658 2386376768 2535525316 5071050632 10142101264 20284202528 40568405056