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114263695224 = 2335719441937
BaseRepresentation
bin110101001101010100…
…1011001111101111000
3101220221020022010200000
41222122221121331320
53333003001221344
6124254135313000
711153363245530
oct1523251317570
9356836263600
10114263695224
1144505971478
121a18a81b760
13aa0c9477a3
14575d57a4c0
152e8b5a9a69
hex1a9aa59f78

114263695224 has 192 divisors, whose sum is σ = 386077036800. Its totient is φ = 30928449024.

The previous prime is 114263695219. The next prime is 114263695237. The reversal of 114263695224 is 422596362411.

114263695224 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 63 + 69 + 522 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114263695224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37584 + ... + 479520.

It is an arithmetic number, because the mean of its divisors is an integer number (2010817900).

Almost surely, 2114263695224 is an apocalyptic number.

114263695224 is a gapful number since it is divisible by the number (14) 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 114263695224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193038518400).

114263695224 is an abundant number, since it is smaller than the sum of its proper divisors (271813341576).

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

114263695224 is a wasteful number, since it uses less digits than its factorization.

114263695224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441984 (or 441968 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 114263695224 in words is "one hundred fourteen billion, two hundred sixty-three million, six hundred ninety-five thousand, two hundred twenty-four".