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40112054136 = 2332711191971933
BaseRepresentation
bin100101010110110111…
…010101111101111000
310211112110220110212200
4211112313111331320
51124122141213021
630232140310200
72620004556150
oct452667257570
9124473813780
1040112054136
1116014232a70
127935542360
133a2335689b
141d27419760
15109b76d126
hex956dd5f78

40112054136 has 384 divisors, whose sum is σ = 143369740800. Its totient is φ = 9815178240.

The previous prime is 40112054123. The next prime is 40112054137. The reversal of 40112054136 is 63145021104.

It is a happy number.

40112054136 is a `hidden beast` number, since 4 + 0 + 112 + 0 + 541 + 3 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40112054137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20750226 + ... + 20752158.

It is an arithmetic number, because the mean of its divisors is an integer number (373358700).

Almost surely, 240112054136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40112054136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71684870400).

40112054136 is an abundant number, since it is smaller than the sum of its proper divisors (103257686664).

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

40112054136 is a wasteful number, since it uses less digits than its factorization.

40112054136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 40112054136 in words is "forty billion, one hundred twelve million, fifty-four thousand, one hundred thirty-six".