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40027716072 = 23321972822033
BaseRepresentation
bin100101010001110101…
…100111100111101000
310211022121012122210200
4211101311213213220
51123434043403242
630215524512200
72614631654451
oct452165474750
9124277178720
1040027716072
1115a80669593
12791124b660
133a0ba37ac6
141d1a144128
15109415e04c
hex951d679e8

40027716072 has 48 divisors (see below), whose sum is σ = 108958732740. Its totient is φ = 13274838528.

The previous prime is 40027716067. The next prime is 40027716073. The reversal of 40027716072 is 27061772004.

It is a happy number.

40027716072 is a `hidden beast` number, since 40 + 0 + 2 + 7 + 7 + 1 + 607 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26382205476 + 13645510596 = 162426^2 + 116814^2 .

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

It is not an unprimeable number, because it can be changed into a prime (40027716073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1396833 + ... + 1425200.

Almost surely, 240027716072 is an apocalyptic number.

It is an amenable number.

40027716072 is an abundant number, since it is smaller than the sum of its proper divisors (68931016668).

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

40027716072 is a wasteful number, since it uses less digits than its factorization.

40027716072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822242 (or 2822235 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 40027716072 in words is "forty billion, twenty-seven million, seven hundred sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 197 394 591 788 1182 1576 1773 2364 3546 4728 7092 14184 2822033 5644066 8466099 11288132 16932198 22576264 25398297 33864396 50796594 67728792 101593188 203186376 555940501 1111881002 1667821503 2223762004 3335643006 4447524008 5003464509 6671286012 10006929018 13342572024 20013858036 40027716072