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23402132114112 = 2633312514673727
BaseRepresentation
bin1010101001000101110111…
…10001011000101011000000
310001212012222211020202211000
411110202323301120223000
511031410031310122422
6121434442512252000
74633514435606103
oct524427361305300
9101765884222730
1023402132114112
117502874538a94
12275b5a6841000
131009a720a514b
145ac95256273a
152a8b23280cac
hex1548bbc58ac0

23402132114112 has 448 divisors, whose sum is σ = 71472008724480. Its totient is φ = 7500885120000.

The previous prime is 23402132114077. The next prime is 23402132114113. The reversal of 23402132114112 is 21141123120432.

23402132114112 is a `hidden beast` number, since 2 + 3 + 402 + 1 + 3 + 211 + 41 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23402132114113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6279078393 + ... + 6279082119.

It is an arithmetic number, because the mean of its divisors is an integer number (159535733760).

Almost surely, 223402132114112 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 23402132114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35736004362240).

23402132114112 is an abundant number, since it is smaller than the sum of its proper divisors (48069876610368).

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

23402132114112 is a wasteful number, since it uses less digits than its factorization.

23402132114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4497 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 23402132114112 its reverse (21141123120432), we get a palindrome (44543255234544).

The spelling of 23402132114112 in words is "twenty-three trillion, four hundred two billion, one hundred thirty-two million, one hundred fourteen thousand, one hundred twelve".