Search a number
-
+
14011143211764 = 2232616380302009
BaseRepresentation
bin1100101111100011100100…
…1101101100101011110100
31211121110012122211202121100
43023320321031230223310
53314024310130234024
645444344052450100
72644162122161316
oct313707115545364
954543178752540
1014011143211764
114512102089606
1216a3553619930
137a832574178a
1436620037b7b6
151946de32a7c9
hexcbe3936caf4

14011143211764 has 36 divisors (see below), whose sum is σ = 35997663940420. Its totient is φ = 4593817445760.

The previous prime is 14011143211717. The next prime is 14011143211771. The reversal of 14011143211764 is 46711234111041.

14011143211764 is a `hidden beast` number, since 1 + 40 + 1 + 11 + 432 + 1 + 176 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8117610136164 + 5893533075600 = 2849142^2 + 2427660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent 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, 3190148809 + ... + 3190153200.

Almost surely, 214011143211764 is an apocalyptic number.

It is an amenable number.

14011143211764 is an abundant number, since it is smaller than the sum of its proper divisors (21986520728656).

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

14011143211764 is a wasteful number, since it uses less digits than its factorization.

14011143211764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380302080 (or 6380302075 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 14011143211764 in words is "fourteen trillion, eleven billion, one hundred forty-three million, two hundred eleven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 6380302009 12760604018 19140906027 25521208036 38281812054 57422718081 76563624108 114845436162 229690872324 389198422549 778396845098 1167595267647 1556793690196 2335190535294 3502785802941 4670381070588 7005571605882 14011143211764