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14287268439666 = 2332931409719569
BaseRepresentation
bin1100111111101000001110…
…0011110110011001110010
31212120211221022011201001000
43033322003203312121302
53333040311210032131
650215251442422430
73003135554660265
oct317720343663162
955524838151030
1014287268439666
1146092186251a2
121728b75361a16
137c838c1ab6b1
14375716760cdc
1519b9a09d2ce6
hexcfe838f6672

14287268439666 has 128 divisors (see below), whose sum is σ = 33986730240000. Its totient is φ = 4438986209280.

The previous prime is 14287268439629. The next prime is 14287268439721. The reversal of 14287268439666 is 66693486278241.

It is a super-2 number, since 2×142872684396662 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14287268439594 and 14287268439603.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19495530 + ... + 20215098.

It is an arithmetic number, because the mean of its divisors is an integer number (265521330000).

Almost surely, 214287268439666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14287268439666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16993365120000).

14287268439666 is an abundant number, since it is smaller than the sum of its proper divisors (19699461800334).

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

14287268439666 is a wasteful number, since it uses less digits than its factorization.

14287268439666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720049 (or 720043 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 14287268439666 in words is "fourteen trillion, two hundred eighty-seven billion, two hundred sixty-eight million, four hundred thirty-nine thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 29 31 54 58 62 87 93 174 186 261 279 409 522 558 783 818 837 899 1227 1566 1674 1798 2454 2697 3681 5394 7362 8091 11043 11861 12679 16182 22086 23722 24273 25358 35583 38037 48546 71166 76074 106749 114111 213498 228222 320247 342333 367691 640494 684666 719569 735382 1103073 1439138 2158707 2206146 3309219 4317414 6476121 6618438 9927657 12952242 19428363 19855314 20867501 22306639 38856726 41735002 44613278 62602503 66919917 125205006 133839834 187807509 200759751 294303721 375615018 401519502 563422527 588607442 602279253 646892531 882911163 1126845054 1204558506 1293785062 1765822326 1940677593 2648733489 3881355186 5297466978 5822032779 7946200467 8534807909 9123415351 11644065558 15892400934 17069615818 17466098337 18246830702 25604423727 27370246053 34932196674 51208847454 54740492106 76813271181 82110738159 153626542362 164221476318 230439813543 246332214477 264579045179 460879627086 492664428954 529158090358 793737135537 1587474271074 2381211406611 4762422813222 7143634219833 14287268439666