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23142732480 = 26335723127131
BaseRepresentation
bin10101100011011010…
…100001001011000000
32012201212010121202000
4111203122201023000
5334344014414410
614344233024000
71446332660160
oct254332411300
965655117660
1023142732480
1198a651849a
12459a555000
13224a81515a
1411978445a0
15906b05dc0
hex5636a12c0

23142732480 has 896 divisors, whose sum is σ = 98878095360. Its totient is φ = 4981616640.

The previous prime is 23142732419. The next prime is 23142732493. The reversal of 23142732480 is 8423724132.

It is a happy number.

23142732480 is a `hidden beast` number, since 2 + 3 + 142 + 7 + 32 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176662015 + ... + 176662145.

Almost surely, 223142732480 is an apocalyptic number.

23142732480 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 23142732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49439047680).

23142732480 is an abundant number, since it is smaller than the sum of its proper divisors (75735362880).

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

23142732480 is a wasteful number, since it uses less digits than its factorization.

23142732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 23142732480 in words is "twenty-three billion, one hundred forty-two million, seven hundred thirty-two thousand, four hundred eighty".