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14665144202514 = 23413233293102001
BaseRepresentation
bin1101010101100111111010…
…1101011111010100010010
31220220222022010002101020000
43111121332231133110102
53410233203403440024
651105024011430430
73042343641653211
oct325317655372422
956828263071200
1014665144202514
1147444a8645783
12178a253155416
13824bc0019340
14389b22483078
151a6719e0bcc9
hexd567eb5f512

14665144202514 has 160 divisors (see below), whose sum is σ = 35662068986544. Its totient is φ = 4477607424000.

The previous prime is 14665144202413. The next prime is 14665144202519. The reversal of 14665144202514 is 41520244156641.

14665144202514 is a `hidden beast` number, since 1 + 4 + 66 + 51 + 4 + 4 + 20 + 2 + 514 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2468251518489 + 12196892684025 = 1571067^2 + 3492405^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 14665144202514.

It is not an unprimeable number, because it can be changed into a prime (14665144202519) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143723514 + ... + 143825514.

Almost surely, 214665144202514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14665144202514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17831034493272).

14665144202514 is an abundant number, since it is smaller than the sum of its proper divisors (20996924784030).

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

14665144202514 is a wasteful number, since it uses less digits than its factorization.

14665144202514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102554 (or 102545 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 14665144202514 in words is "fourteen trillion, six hundred sixty-five billion, one hundred forty-four million, two hundred two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 233 234 293 351 466 586 699 702 879 1053 1398 1758 2097 2106 2637 3029 3809 4194 5274 6058 6291 7618 7911 9087 11427 12582 15822 18174 18873 22854 23733 27261 34281 37746 47466 54522 68269 68562 81783 102001 102843 136538 163566 204002 204807 205686 245349 306003 308529 409614 490698 612006 614421 617058 887497 918009 1228842 1326013 1774994 1836018 1843263 2652026 2662491 2754027 3686526 3978039 5324982 5508054 5529789 7956078 7987473 8262081 11059578 11934117 15974946 16524162 23766233 23868234 23962419 29886293 35802351 47532466 47924838 59772586 71298699 71604702 71887257 89658879 107407053 142597398 143774514 179317758 213896097 214814106 268976637 308961029 388521809 427792194 537953274 617922058 641688291 777043618 806929911 926883087 1165565427 1283376582 1613859822 1853766174 1925064873 2331130854 2420789733 2780649261 3496696281 3850129746 4841579466 5561298522 6963506269 6993392562 8341947783 10490088843 13927012538 16683895566 20890518807 20980177686 25025843349 31470266529 41781037614 50051686698 62671556421 62940533058 90525581497 125343112842 181051162994 188014669263 271576744491 376029338526 543153488982 564044007789 814730233473 1128088015578 1629460466946 2444190700419 4888381400838 7332572101257 14665144202514