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14007740652 = 22321967337907
BaseRepresentation
bin11010000101110110…
…10010100011101100
31100011020000221202100
431002323102203230
5212141440200102
610233550255100
71004060555013
oct150273224354
940136027670
1014007740652
115a39005974
12286b1b7490
1314230bc249
1496c52da7a
1556eb61a1c
hex342ed28ec

14007740652 has 144 divisors (see below), whose sum is σ = 37982439040. Its totient is φ = 4339754496.

The previous prime is 14007740641. The next prime is 14007740653. The reversal of 14007740652 is 25604770041.

14007740652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (14007740653) 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 47 ways as a sum of consecutive naturals, for example, 15443583 + ... + 15444489.

Almost surely, 214007740652 is an apocalyptic number.

14007740652 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 14007740652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18991219520).

14007740652 is an abundant number, since it is smaller than the sum of its proper divisors (23974698388).

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

14007740652 is a wasteful number, since it uses less digits than its factorization.

14007740652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 14007740652 in words is "fourteen billion, seven million, seven hundred forty thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 67 76 114 134 171 201 228 268 337 342 402 603 674 684 804 907 1011 1206 1273 1348 1814 2022 2412 2546 2721 3033 3628 3819 4044 5092 5442 6066 6403 7638 8163 10884 11457 12132 12806 15276 16326 17233 19209 22579 22914 25612 32652 34466 38418 45158 45828 51699 57627 60769 67737 68932 76836 90316 103398 115254 121538 135474 155097 182307 203211 206796 230508 243076 270948 305659 310194 364614 406422 429001 546921 611318 620388 729228 812844 858002 916977 1093842 1154611 1222636 1287003 1716004 1833954 2187684 2309222 2574006 2750931 3463833 3667908 3861009 4618444 5148012 5501862 5807521 6927666 7722018 10391499 11003724 11615042 13855332 15444036 17422563 20479153 20782998 23230084 34845126 40958306 41565996 52267689 61437459 69690252 81916612 104535378 122874918 184312377 209070756 245749836 368624754 389103907 737249508 778207814 1167311721 1556415628 2334623442 3501935163 4669246884 7003870326 14007740652