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23134928040 = 23325717653827
BaseRepresentation
bin10101100010111100…
…101111110010101000
32012201022110010001200
4111202330233302220
5334340020144130
614343353444200
71446206433540
oct254274576250
965638403050
1023134928040
1198a2077944
124597a10660
132249011a43
1411967b2320
159060b3760
hex562f2fca8

23134928040 has 384 divisors, whose sum is σ = 91233941760. Its totient is φ = 4963295232.

The previous prime is 23134928039. The next prime is 23134928041. The reversal of 23134928040 is 4082943132.

23134928040 is a `hidden beast` number, since 2 + 31 + 349 + 280 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23134928039) and next prime (23134928041).

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

It is a junction number, because it is equal to n+sod(n) for n = 23134927986 and 23134928004.

It is not an unprimeable number, because it can be changed into a prime (23134928041) 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 95 ways as a sum of consecutive naturals, for example, 27974107 + ... + 27974933.

It is an arithmetic number, because the mean of its divisors is an integer number (237588390).

Almost surely, 223134928040 is an apocalyptic number.

23134928040 is a gapful number since it is divisible by the number (20) 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 23134928040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45616970880).

23134928040 is an abundant number, since it is smaller than the sum of its proper divisors (68099013720).

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

23134928040 is a wasteful number, since it uses less digits than its factorization.

23134928040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23134928040 in words is "twenty-three billion, one hundred thirty-four million, nine hundred twenty-eight thousand, forty".