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14014110032 = 2413217892897
BaseRepresentation
bin11010000110100111…
…00101100101010000
31100011200000112220022
431003103211211100
5212200103010112
610234335003012
71004165653436
oct150323454520
940150015808
1014014110032
115a4166631a
122871369468
13142450c400
1496d30ad56
155704bdd72
hex3434e5950

14014110032 has 60 divisors (see below), whose sum is σ = 29428233660. Its totient is φ = 6462203904.

The previous prime is 14014109983. The next prime is 14014110073. The reversal of 14014110032 is 23001141041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1536326416 + 12477783616 = 39196^2 + 111704^2 .

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, 4836008 + ... + 4838904.

It is an arithmetic number, because the mean of its divisors is an integer number (490470561).

Almost surely, 214014110032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14014110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14714116830).

14014110032 is an abundant number, since it is smaller than the sum of its proper divisors (15414123628).

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

14014110032 is a wasteful number, since it uses less digits than its factorization.

14014110032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 4701 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 14014110032 its reverse (23001141041), we get a palindrome (37015251073).

The spelling of 14014110032 in words is "fourteen billion, fourteen million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1789 2704 2897 3578 5794 7156 11588 14312 23176 23257 28624 37661 46352 46514 75322 93028 150644 186056 301288 302341 372112 489593 602576 604682 979186 1209364 1958372 2418728 3916744 4837456 5182733 7833488 10365466 20730932 41461864 67375529 82923728 134751058 269502116 539004232 875881877 1078008464 1751763754 3503527508 7007055016 14014110032