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242344112334552 = 233231831638025509
BaseRepresentation
bin110111000110100100100010…
…101110101010011011011000
31011210001212111212110201120200
4313012210202232222123120
5223231031220224201202
62215231203120222200
7102021533010433314
oct6706444256523330
91153055455421520
10242344112334552
1170244619573338
122321bab4a6a960
13a52bc4ac623c7
1443bb7364d4b44
151d03dd6e93e1c
hexdc6922baa6d8

242344112334552 has 192 divisors, whose sum is σ = 689890816742400. Its totient is φ = 76759810755840.

The previous prime is 242344112334539. The next prime is 242344112334553. The reversal of 242344112334552 is 255433211443242.

242344112334552 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 4 + 41 + 1 + 23 + 34 + 552 = 666.

242344112334552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242344112334498 and 242344112334507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242344112334553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26183974 + ... + 34209482.

It is an arithmetic number, because the mean of its divisors is an integer number (3593181337200).

Almost surely, 2242344112334552 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 242344112334552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344945408371200).

242344112334552 is an abundant number, since it is smaller than the sum of its proper divisors (447546704407848).

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

242344112334552 is a wasteful number, since it uses less digits than its factorization.

242344112334552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025798 (or 8025791 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Adding to 242344112334552 its reverse (255433211443242), we get a palindrome (497777323777794).

The spelling of 242344112334552 in words is "two hundred forty-two trillion, three hundred forty-four billion, one hundred twelve million, three hundred thirty-four thousand, five hundred fifty-two".