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114221332314 = 23241154771453
BaseRepresentation
bin110101001100000011…
…1110011011101011010
3101220211021120212200100
41222120013303131122
53332411130113224
6124250023320230
711152340206515
oct1523007633532
9356737525610
10114221332314
1144493a67601
121a1785b0076
13aa03c3458b
145757aadd7c
152e879dcac9
hex1a981f375a

114221332314 has 24 divisors (see below), whose sum is σ = 253515641652. Its totient is φ = 37145148480.

The previous prime is 114221332307. The next prime is 114221332321. The reversal of 114221332314 is 413233122411.

114221332314 is a `hidden beast` number, since 1 + 1 + 422 + 1 + 3 + 3 + 231 + 4 = 666.

114221332314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114221332307) and next prime (114221332321).

It can be written as a sum of positive squares in 2 ways, for example, as 108723851289 + 5497481025 = 329733^2 + 74145^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77384989 + ... + 77386464.

Almost surely, 2114221332314 is an apocalyptic number.

114221332314 is an abundant number, since it is smaller than the sum of its proper divisors (139294309338).

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

114221332314 is a wasteful number, since it uses less digits than its factorization.

114221332314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154771502 (or 154771499 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 114221332314 its reverse (413233122411), we get a palindrome (527454454725).

The spelling of 114221332314 in words is "one hundred fourteen billion, two hundred twenty-one million, three hundred thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 154771453 309542906 464314359 928628718 1392943077 2785886154 6345629573 12691259146 19036888719 38073777438 57110666157 114221332314