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40252339008 = 2632723894877
BaseRepresentation
bin100101011111001110…
…011111001101000000
310211220020212200112200
4211133032133031000
51124414044322013
630254111153200
72623330144020
oct453716371500
9124806780480
1040252339008
111608643a082
127974515800
133a4643379b
141d3bcd5a80
1510a8c2de73
hex95f39f340

40252339008 has 336 divisors, whose sum is σ = 139165827840. Its totient is φ = 10874806272.

The previous prime is 40252339003. The next prime is 40252339037. The reversal of 40252339008 is 80093325204.

40252339008 is a `hidden beast` number, since 40 + 2 + 523 + 3 + 90 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×402523390082 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40252339003) 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 47 ways as a sum of consecutive naturals, for example, 8251066 + ... + 8255942.

Almost surely, 240252339008 is an apocalyptic number.

40252339008 is a gapful number since it is divisible by the number (48) 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 40252339008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69582913920).

40252339008 is an abundant number, since it is smaller than the sum of its proper divisors (98913488832).

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

40252339008 is a wasteful number, since it uses less digits than its factorization.

40252339008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5014 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 40252339008 in words is "forty billion, two hundred fifty-two million, three hundred thirty-nine thousand, eight".