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14344053625770 = 23511192109732
BaseRepresentation
bin1101000010111011110000…
…1110001001001110101010
31212210021111202112001011220
43100232330032021032222
53340003110212011040
650301322310202510
73010216010045601
oct320567416111652
955707452461156
1014344053625770
114630308360a70
121737b82653436
1380083b8b132b
14378382290a38
1519d1c5dad2d0
hexd0bbc3893aa

14344053625770 has 144 divisors (see below), whose sum is σ = 39639581144352. Its totient is φ = 3294027884160.

The previous prime is 14344053625717. The next prime is 14344053625793. The reversal of 14344053625770 is 7752635044341.

14344053625770 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 71 ways as a sum of consecutive naturals, for example, 1307208004 + ... + 1307218976.

It is an arithmetic number, because the mean of its divisors is an integer number (275274869058).

Almost surely, 214344053625770 is an apocalyptic number.

14344053625770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14344053625770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819790572176).

14344053625770 is an abundant number, since it is smaller than the sum of its proper divisors (25295527518582).

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

14344053625770 is an equidigital number, since it uses as much as digits as its factorization.

14344053625770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22005 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 51.

The spelling of 14344053625770 in words is "fourteen trillion, three hundred forty-four billion, fifty-three million, six hundred twenty-five thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 361 418 570 627 722 1045 1083 1254 1805 2090 2166 3135 3610 3971 5415 6270 7942 10830 10973 11913 19855 21946 23826 32919 39710 54865 59565 65838 109730 119130 120703 164595 208487 241406 329190 362109 416974 603515 625461 724218 1042435 1207030 1250922 1810545 2084870 2293357 3127305 3621090 3961253 4586714 6254610 6880071 7922506 11466785 11883759 13760142 19806265 22933570 23767518 34400355 39612530 43573783 59418795 68800710 87147566 118837590 120406729 130721349 217868915 240813458 261442698 361220187 435737830 602033645 653606745 722440374 1204067290 1307213490 1324474019 1806100935 2287727851 2648948038 3612201870 3973422057 4575455702 6622370095 6863183553 7946844114 11438639255 13244740190 13726367106 19867110285 22877278510 25165006361 34315917765 39734220570 43466829169 50330012722 68631835530 75495019083 86933658338 125825031805 130400487507 150990038166 217334145845 251650063610 260800975014 377475095415 434668291690 478135120859 652002437535 754950190830 956270241718 1304004875070 1434405362577 2390675604295 2868810725154 4781351208590 7172026812885 14344053625770