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31114745136 = 2434311375653
BaseRepresentation
bin11100111110100101…
…010101010100110000
32222022102212211020000
4130332211111110300
51002210333321021
622143252550000
72151023653446
oct347645252460
988272784200
1031114745136
111221750a602
126044322300
132c1b3093c7
141712504b96
15c21923b26
hex73e955530

31114745136 has 200 divisors, whose sum is σ = 93655208064. Its totient is φ = 9961989120.

The previous prime is 31114745131. The next prime is 31114745147. The reversal of 31114745136 is 63154741113.

31114745136 is a `hidden beast` number, since 31 + 1 + 147 + 451 + 36 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 31114745136.

It is not an unprimeable number, because it can be changed into a prime (31114745131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5501286 + ... + 5506938.

Almost surely, 231114745136 is an apocalyptic number.

31114745136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31114745136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46827604032).

31114745136 is an abundant number, since it is smaller than the sum of its proper divisors (62540462928).

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

31114745136 is a wasteful number, since it uses less digits than its factorization.

31114745136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5826 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The spelling of 31114745136 in words is "thirty-one billion, one hundred fourteen million, seven hundred forty-five thousand, one hundred thirty-six".