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23140458432 = 263571383197
BaseRepresentation
bin10101100011010001…
…110101111111000000
32012201200212002100000
4111203101311333000
5334342424132212
614344112200000
71446304436250
oct254321657700
965650762300
1023140458432
1198a5204a13
124599839000
13224a1ca070
141197411960
159068071dc
hex563475fc0

23140458432 has 672 divisors, whose sum is σ = 86112778752. Its totient is φ = 5998841856.

The previous prime is 23140458403. The next prime is 23140458437. The reversal of 23140458432 is 23485404132.

23140458432 is a `hidden beast` number, since 2 + 3 + 1 + 40 + 4 + 584 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (23140458437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117464158 + ... + 117464354.

It is an arithmetic number, because the mean of its divisors is an integer number (128144016).

Almost surely, 223140458432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23140458432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43056389376).

23140458432 is an abundant number, since it is smaller than the sum of its proper divisors (62972320320).

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

23140458432 is a wasteful number, since it uses less digits than its factorization.

23140458432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 23140458432 in words is "twenty-three billion, one hundred forty million, four hundred fifty-eight thousand, four hundred thirty-two".