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14039682774 = 23132614
BaseRepresentation
bin11010001001101010…
…01000111011010110
31100020110010210002220
431010311020323112
5212223124322044
610241051043210
71004626222515
oct150465107326
940213123086
1014039682774
115a55042517
122879a40506
1314298c4200
1497288667c
15572871019
hex344d48ed6

14039682774 has 60 divisors (see below), whose sum is σ = 30912224580. Its totient is φ = 4249084320.

The previous prime is 14039682773. The next prime is 14039682779. The reversal of 14039682774 is 47728693041.

14039682774 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140396827742 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14039682773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 230158704 + ... + 230158764.

It is an arithmetic number, because the mean of its divisors is an integer number (515203743).

Almost surely, 214039682774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14039682774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456112290).

14039682774 is an abundant number, since it is smaller than the sum of its proper divisors (16872541806).

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

14039682774 is an frugal number, since it uses more digits than its factorization.

14039682774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 14039682774 in words is "fourteen billion, thirty-nine million, six hundred eighty-two thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 13 26 39 61 78 122 169 183 338 366 507 793 1014 1586 2379 3721 4758 7442 10309 11163 20618 22326 30927 48373 61854 96746 145119 226981 290238 453962 628849 680943 1257698 1361886 1886547 2950753 3773094 5901506 8852259 13845841 17704518 27691682 38359789 41537523 76719578 83075046 115079367 179995933 230158734 359991866 539987799 1079975598 2339947129 4679894258 7019841387 14039682774