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114243951960 = 233657195449
BaseRepresentation
bin110101001100101111…
…0000101110101011000
3101220212212011002000000
41222121132011311120
53332432422430320
6124252152213000
711153033366145
oct1523136056530
9356785132000
10114243951960
11444a5807026
121a18409a160
13aa08824198
14575aabb3cc
152e899a9c90
hex1a99785d58

114243951960 has 224 divisors, whose sum is σ = 386003880000. Its totient is φ = 30417099264.

The previous prime is 114243951953. The next prime is 114243952003. The reversal of 114243951960 is 69159342411.

114243951960 is a `hidden beast` number, since 1 + 1 + 42 + 4 + 39 + 519 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 20963316 + ... + 20968764.

Almost surely, 2114243951960 is an apocalyptic number.

114243951960 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 114243951960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193001940000).

114243951960 is an abundant number, since it is smaller than the sum of its proper divisors (271759928040).

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

114243951960 is an equidigital number, since it uses as much as digits as its factorization.

114243951960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 114243951960 in words is "one hundred fourteen billion, two hundred forty-three million, nine hundred fifty-one thousand, nine hundred sixty".