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114017418216 = 233213121813481
BaseRepresentation
bin110101000101111110…
…1111011101111101000
3101220022001212222010100
41222023331323233220
53332001424340331
6124213500545400
711144313031002
oct1521375735750
9356261788110
10114017418216
1144399950959
121a120252260
13a9a0909850
14573898d372
152e74b5dae6
hex1a8bf7bbe8

114017418216 has 48 divisors (see below), whose sum is σ = 332550805860. Its totient is φ = 35082282240.

The previous prime is 114017418211. The next prime is 114017418227. The reversal of 114017418216 is 612814710411.

It is a happy number.

114017418216 is a `hidden beast` number, since 1 + 1 + 401 + 74 + 182 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108539938116 + 5477480100 = 329454^2 + 74010^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (114017418211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60905805 + ... + 60907676.

Almost surely, 2114017418216 is an apocalyptic number.

It is an amenable number.

114017418216 is an abundant number, since it is smaller than the sum of its proper divisors (218533387644).

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

114017418216 is a wasteful number, since it uses less digits than its factorization.

114017418216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121813506 (or 121813499 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 114017418216 in words is "one hundred fourteen billion, seventeen million, four hundred eighteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 121813481 243626962 365440443 487253924 730880886 974507848 1096321329 1461761772 1583575253 2192642658 2923523544 3167150506 4385285316 4750725759 6334301012 8770570632 9501451518 12668602024 14252177277 19002903036 28504354554 38005806072 57008709108 114017418216