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23442042013104 = 243111319929358573
BaseRepresentation
bin1010101010010000001101…
…00101100100010110110000
310002000001000012202200222010
411111020012211210112300
511033033300223404404
6121505043032042520
74636426440263541
oct525100645442660
9102001005680863
1023442042013104
117518794646890
122767284533440
13101076259b7b0
145b085ab984c8
152a9babdbb189
hex1552069645b0

23442042013104 has 320 divisors, whose sum is σ = 71748557798400. Its totient is φ = 6501885603840.

The previous prime is 23442042013063. The next prime is 23442042013139. The reversal of 23442042013104 is 40131024024432.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400189962 + ... + 400248534.

It is an arithmetic number, because the mean of its divisors is an integer number (224214243120).

Almost surely, 223442042013104 is an apocalyptic number.

23442042013104 is a gapful number since it is divisible by the number (24) 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 23442042013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35874278899200).

23442042013104 is an abundant number, since it is smaller than the sum of its proper divisors (48306515785296).

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

23442042013104 is a wasteful number, since it uses less digits than its factorization.

23442042013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59100 (or 59094 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 23442042013104 its reverse (40131024024432), we get a palindrome (63573066037536).

The spelling of 23442042013104 in words is "twenty-three trillion, four hundred forty-two billion, forty-two million, thirteen thousand, one hundred four".