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14045011668 = 2232636161333
BaseRepresentation
bin11010001010010010…
…11101111011010100
31100020211011111222100
431011021131323110
5212231010333133
610241401202100
71005022425612
oct150511357324
940224144870
1014045011668
115a58052166
12287b790330
13142aa3b8bc
149734726b2
15573074e13
hex34525ded4

14045011668 has 36 divisors (see below), whose sum is σ = 35508828628. Its totient is φ = 4680858240.

The previous prime is 14045011667. The next prime is 14045011681. The reversal of 14045011668 is 86611054041.

14045011668 is a `hidden beast` number, since 1 + 40 + 450 + 1 + 166 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9591851844 + 4453159824 = 97938^2 + 66732^2 .

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

It is a super-2 number, since 2×140450116682 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14045011667) 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, 198330 + ... + 259662.

Almost surely, 214045011668 is an apocalyptic number.

14045011668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14045011668 is an abundant number, since it is smaller than the sum of its proper divisors (21463816960).

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

14045011668 is a wasteful number, since it uses less digits than its factorization.

14045011668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67704 (or 67699 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 14045011668 in words is "fourteen billion, forty-five million, eleven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 6361 12722 19083 25444 38166 57249 61333 76332 114498 122666 183999 228996 245332 367998 551997 735996 1103994 2207988 390139213 780278426 1170417639 1560556852 2340835278 3511252917 4681670556 7022505834 14045011668