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114042224520 = 233257151299701
BaseRepresentation
bin110101000110101110…
…0100011111110001000
3101220100210120020222100
41222031130203332020
53332024302141040
6124220144353400
711145033625410
oct1521534437610
9356323506870
10114042224520
1144401954234
121a128615860
13a9a5ab3833
14573bda9640
152e76e0db30
hex1a8d723f88

114042224520 has 192 divisors, whose sum is σ = 426392029440. Its totient is φ = 25894080000.

The previous prime is 114042224519. The next prime is 114042224557. The reversal of 114042224520 is 25422240411.

It is a happy number.

114042224520 is a `hidden beast` number, since 11 + 404 + 2 + 2 + 245 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230670 + ... + 530370.

It is an arithmetic number, because the mean of its divisors is an integer number (2220791820).

Almost surely, 2114042224520 is an apocalyptic number.

114042224520 is a gapful number since it is divisible by the number (10) 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 114042224520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213196014720).

114042224520 is an abundant number, since it is smaller than the sum of its proper divisors (312349804920).

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

114042224520 is a wasteful number, since it uses less digits than its factorization.

114042224520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299876 (or 299869 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 114042224520 its reverse (25422240411), we get a palindrome (139464464931).

The spelling of 114042224520 in words is "one hundred fourteen billion, forty-two million, two hundred twenty-four thousand, five hundred twenty".