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114055665138 = 23315711344457
BaseRepresentation
bin110101000111000111…
…1110101010111110010
3101220101201212010001000
41222032033311113302
53332041222241023
6124221344422430
711145256105032
oct1521617652762
9356351763030
10114055665138
11444094a4388
121a131017a16
13a9a880b46c
14573daa78c2
152e781b6243
hex1a8e3f55f2

114055665138 has 32 divisors (see below), whose sum is σ = 253618557120. Its totient is φ = 37994326560.

The previous prime is 114055665071. The next prime is 114055665197. The reversal of 114055665138 is 831566550411.

It is a happy number.

114055665138 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 566 + 51 + 38 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114055665093 and 114055665102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587395 + ... + 757062.

It is an arithmetic number, because the mean of its divisors is an integer number (7925579910).

Almost surely, 2114055665138 is an apocalyptic number.

114055665138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

114055665138 is an abundant number, since it is smaller than the sum of its proper divisors (139562891982).

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

114055665138 is a wasteful number, since it uses less digits than its factorization.

114055665138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346039 (or 1346033 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 114055665138 in words is "one hundred fourteen billion, fifty-five million, six hundred sixty-five thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 1571 3142 4713 9426 14139 28278 42417 84834 1344457 2688914 4033371 8066742 12100113 24200226 36300339 72600678 2112141947 4224283894 6336425841 12672851682 19009277523 38018555046 57027832569 114055665138