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14101437205116 = 2232391706589031
BaseRepresentation
bin1100110100110011111100…
…1001111100101001111100
31211221002021101220212210100
43031030333021330221330
53322014220411030431
645554035534241100
72653536521356332
oct315147711745174
954832241825710
1014101437205116
114547427751208
1216b8b52956190
137b39b543a801
1436a728327b52
15196c263cb4e6
hexcd33f27ca7c

14101437205116 has 18 divisors (see below), whose sum is σ = 35645299601912. Its totient is φ = 4700479068360.

The previous prime is 14101437205073. The next prime is 14101437205153. The reversal of 14101437205116 is 61150273410141.

14101437205116 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 1 + 437 + 205 + 1 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 391706589031 = 14101437205116 / (1 + 4 + 1 + 0 + 1 + 4 + 3 + 7 + 2 + 0 + 5 + 1 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 195853294480 + ... + 195853294551.

Almost surely, 214101437205116 is an apocalyptic number.

It is an amenable number.

14101437205116 is an abundant number, since it is smaller than the sum of its proper divisors (21543862396796).

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

14101437205116 is a wasteful number, since it uses less digits than its factorization.

14101437205116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391706589041 (or 391706589036 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 14101437205116 in words is "fourteen trillion, one hundred one billion, four hundred thirty-seven million, two hundred five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 391706589031 783413178062 1175119767093 1566826356124 2350239534186 3525359301279 4700479068372 7050718602558 14101437205116