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23134525440 = 2113513531093
BaseRepresentation
bin10101100010111011…
…001101100000000000
32012201021200122210120
4111202323031200000
5334334414303230
614343341100240
71446203136015
oct254273154000
965637618716
1023134525440
1198a1922414
124597857680
132248c00710
14119670970c
15906034310
hex562ecd800

23134525440 has 384 divisors, whose sum is σ = 81283849920. Its totient is φ = 5582094336.

The previous prime is 23134525399. The next prime is 23134525441. The reversal of 23134525440 is 4452543132.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23134525441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21165534 + ... + 21166626.

Almost surely, 223134525440 is an apocalyptic number.

23134525440 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 23134525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40641924960).

23134525440 is an abundant number, since it is smaller than the sum of its proper divisors (58149324480).

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

23134525440 is a wasteful number, since it uses less digits than its factorization.

23134525440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 23134525440 in words is "twenty-three billion, one hundred thirty-four million, five hundred twenty-five thousand, four hundred forty".