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40606538112 = 273374771503
BaseRepresentation
bin100101110100010101…
…101001100110000000
310212210221100212101000
4211310111221212000
51131130233204422
630353203012000
72635160610330
oct456425514600
9125727325330
1040606538112
1116248372108
127a5306a000
133aa192a05a
141d72d770c0
1510c9d96cac
hex974569980

40606538112 has 512 divisors, whose sum is σ = 142132838400. Its totient is φ = 11172833280.

The previous prime is 40606538107. The next prime is 40606538149. The reversal of 40606538112 is 21183560604.

It is a happy number.

40606538112 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 6 + 538 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80728453 + ... + 80728955.

It is an arithmetic number, because the mean of its divisors is an integer number (277603200).

Almost surely, 240606538112 is an apocalyptic number.

40606538112 is a gapful number since it is divisible by the number (42) 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 40606538112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71066419200).

40606538112 is an abundant number, since it is smaller than the sum of its proper divisors (101526300288).

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

40606538112 is a wasteful number, since it uses less digits than its factorization.

40606538112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 40606538112 in words is "forty billion, six hundred six million, five hundred thirty-eight thousand, one hundred twelve".