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14340106253214 = 23274311172369519
BaseRepresentation
bin1101000010101101000011…
…1100000111001110011110
31212202220022122211202000100
43100223100330013032132
53334422014200100324
650255430500241530
73010016125662030
oct320532074071636
955686278752010
1014340106253214
1146296721525a5
1217372606a02a6
1380035cb57c21
143780c9d19c50
1519d0445814c9
hexd0ad0f0739e

14340106253214 has 96 divisors (see below), whose sum is σ = 36367165486080. Its totient is φ = 3998305717056.

The previous prime is 14340106253177. The next prime is 14340106253227. The reversal of 14340106253214 is 41235260104341.

14340106253214 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 0 + 1 + 0 + 625 + 3 + 21 + 4 = 666.

14340106253214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4867147 + ... + 7236665.

It is an arithmetic number, because the mean of its divisors is an integer number (378824640480).

Almost surely, 214340106253214 is an apocalyptic number.

14340106253214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14340106253214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18183582743040).

14340106253214 is an abundant number, since it is smaller than the sum of its proper divisors (22027059232866).

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

14340106253214 is a wasteful number, since it uses less digits than its factorization.

14340106253214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370694 (or 2370691 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 14340106253214 its reverse (41235260104341), we get a palindrome (55575366357555).

The spelling of 14340106253214 in words is "fourteen trillion, three hundred forty billion, one hundred six million, two hundred fifty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1117 1806 2234 2709 3351 5418 6702 7819 10053 15638 20106 23457 46914 48031 70371 96062 140742 144093 288186 336217 432279 672434 864558 1008651 2017302 2369519 3025953 4739038 6051906 7108557 14217114 16586633 21325671 33173266 42651342 49759899 99519798 101889317 149279697 203778634 298559394 305667951 611335902 713225219 917003853 1426450438 1834007706 2139675657 2646752723 4279351314 5293505446 6419026971 7940258169 12838053942 15880516338 18527269061 23820774507 37054538122 47641549014 55581807183 111163614366 113810367089 166745421549 227620734178 333490843098 341431101267 682862202534 796672569623 1024293303801 1593345139246 2048586607602 2390017708869 4780035417738 7170053126607 14340106253214