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40122742131 = 326173083319
BaseRepresentation
bin100101010111100000…
…000111010101110011
310211120020000111001100
4211113200013111303
51124132410222011
630233201335443
72620164452403
oct452740072563
9124506014040
1040122742131
111601a27301a
127939037583
133a25629644
141d289dc803
15109c67ed56
hex957807573

40122742131 has 12 divisors (see below), whose sum is σ = 58905155920. Its totient is φ = 26309994480.

The previous prime is 40122742123. The next prime is 40122742139. The reversal of 40122742131 is 13124722104.

40122742131 is a `hidden beast` number, since 401 + 227 + 4 + 2 + 1 + 31 = 666.

40122742131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40122742123) and next prime (40122742139).

It is not a de Polignac number, because 40122742131 - 23 = 40122742123 is a prime.

It is a super-2 number, since 2×401227421312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40122742095 and 40122742104.

It is not an unprimeable number, because it can be changed into a prime (40122742139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36541111 + ... + 36542208.

Almost surely, 240122742131 is an apocalyptic number.

40122742131 is a deficient number, since it is larger than the sum of its proper divisors (18782413789).

40122742131 is a wasteful number, since it uses less digits than its factorization.

40122742131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73083386 (or 73083383 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 40122742131 in words is "forty billion, one hundred twenty-two million, seven hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 61 183 549 73083319 219249957 657749871 4458082459 13374247377 40122742131