Search a number
-
+
23143066128 = 2432741319271
BaseRepresentation
bin10101100011011011…
…110010101000010000
32012201212202120102100
4111203123302220100
5334344111104003
614344244120400
71446335550000
oct254333625020
965655676370
1023143066128
1198a6726136
12459a696100
13224a900c90
1411978d0000
15906b6eba3
hex5636f2a10

23143066128 has 600 divisors, whose sum is σ = 85969636480. Its totient is φ = 5761082880.

The previous prime is 23143066117. The next prime is 23143066153. The reversal of 23143066128 is 82166034132.

23143066128 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 30 + 6 + 612 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 23143066092 and 23143066101.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85398633 + ... + 85398903.

Almost surely, 223143066128 is an apocalyptic number.

23143066128 is a gapful number since it is divisible by the number (28) 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 23143066128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42984818240).

23143066128 is an abundant number, since it is smaller than the sum of its proper divisors (62826570352).

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

23143066128 is a wasteful number, since it uses less digits than its factorization.

23143066128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 315 counting only the distinct ones).

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

The spelling of 23143066128 in words is "twenty-three billion, one hundred forty-three million, sixty-six thousand, one hundred twenty-eight".