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14004920892 = 22317237573943
BaseRepresentation
bin11010000101100001…
…00010001000111100
31100011000201200202210
431002300202020330
5212140224432032
610233410020420
71004024602104
oct150260421074
940130650683
1014004920892
115a3745a396
12286a277710
131422642951
1496bdd8204
1556e7a62cc
hex342c2223c

14004920892 has 96 divisors (see below), whose sum is σ = 36161620992. Its totient is φ = 4196054016.

The previous prime is 14004920873. The next prime is 14004920911. The reversal of 14004920892 is 29802940041.

It is an interprime number because it is at equal distance from previous prime (14004920873) and next prime (14004920911).

It is a super-2 number, since 2×140049208922 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14004920892.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3549873 + ... + 3553815.

It is an arithmetic number, because the mean of its divisors is an integer number (376683552).

Almost surely, 214004920892 is an apocalyptic number.

14004920892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14004920892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18080810496).

14004920892 is an abundant number, since it is smaller than the sum of its proper divisors (22156700100).

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

14004920892 is a wasteful number, since it uses less digits than its factorization.

14004920892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747 (or 4745 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 14004920892 in words is "fourteen billion, four million, nine hundred twenty thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 757 782 1173 1514 1564 2271 2346 3028 3943 4542 4692 7886 9084 11829 12869 15772 17411 23658 25738 34822 38607 47316 51476 52233 67031 69644 77214 90689 104466 134062 154428 181378 201093 208932 268124 272067 295987 362756 402186 544134 591974 804372 887961 1088268 1183948 1541713 1775922 2984851 3083426 3551844 4625139 5969702 6166852 8954553 9250278 11939404 17909106 18500556 35818212 50742467 68651573 101484934 137303146 152227401 202969868 205954719 274606292 304454802 411909438 608909604 823818876 1167076741 2334153482 3501230223 4668306964 7002460446 14004920892