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114280846056 = 233313214921011
BaseRepresentation
bin110101001101110101…
…0110101001011101000
3101220222102120111012000
41222123222311023220
53333021344033211
6124255551051000
711153662110126
oct1523352651350
9356872514160
10114280846056
1144514616113
121a194510a60
13aa13371100
145761962916
152e8cd46656
hex1a9bab52e8

114280846056 has 192 divisors, whose sum is σ = 346067640000. Its totient is φ = 34925679360.

The previous prime is 114280846037. The next prime is 114280846063. The reversal of 114280846056 is 650648082411.

It is a happy number.

114280846056 is a `hidden beast` number, since 1 + 14 + 28 + 0 + 8 + 4 + 605 + 6 = 666.

114280846056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1142808460562 (a number of 23 digits) contains 22 as substring.

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, 5428591 + ... + 5449601.

It is an arithmetic number, because the mean of its divisors is an integer number (1802435625).

Almost surely, 2114280846056 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 114280846056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173033820000).

114280846056 is an abundant number, since it is smaller than the sum of its proper divisors (231786793944).

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

114280846056 is a wasteful number, since it uses less digits than its factorization.

114280846056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21201 (or 21178 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 114280846056 in words is "one hundred fourteen billion, two hundred eighty million, eight hundred forty-six thousand, fifty-six".