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14094734686760 = 2357137393523763
BaseRepresentation
bin1100110100011010111110…
…1001110111101000101000
31211220102222021221200002202
43031012233221313220220
53321412004034434020
645551010504115332
72653211444040440
oct315065751675050
954812867850082
1014094734686760
1145445a8310a42
1216b77a2165b48
137b3187960310
1436a2900c7120
15196982c74e75
hexcd1afa77a28

14094734686760 has 128 divisors (see below), whose sum is σ = 39036927041280. Its totient is φ = 4460139307008.

The previous prime is 14094734686727. The next prime is 14094734686763. The reversal of 14094734686760 is 6768643749041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is not an unprimeable number, because it can be changed into a prime (14094734686763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26648639 + ... + 27172401.

It is an arithmetic number, because the mean of its divisors is an integer number (304975992510).

Almost surely, 214094734686760 is an apocalyptic number.

14094734686760 is a gapful number since it is divisible by the number (10) 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 14094734686760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19518463520640).

14094734686760 is an abundant number, since it is smaller than the sum of its proper divisors (24942192354520).

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

14094734686760 is a wasteful number, since it uses less digits than its factorization.

14094734686760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531187 (or 531183 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 65.

The spelling of 14094734686760 in words is "fourteen trillion, ninety-four billion, seven hundred thirty-four million, six hundred eighty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 7393 14786 29572 36965 51751 59144 73930 96109 103502 147860 192218 207004 258755 295720 384436 414008 480545 517510 523763 672763 768872 961090 1035020 1047526 1345526 1922180 2070040 2095052 2618815 2691052 3363815 3666341 3844360 4190104 5237630 5382104 6727630 6808919 7332682 10475260 13455260 13617838 14665364 18331705 20950520 26910520 27235676 29330728 34044595 36663410 47662433 54471352 68089190 73326820 95324866 136178380 146653640 190649732 238312165 272356760 381299464 476624330 953248660 1906497320 3872179859 7744359718 15488719436 19360899295 27105259013 30977438872 38721798590 50338338167 54210518026 77443597180 100676676334 108421036052 135526295065 154887194360 201353352668 216842072104 251691690835 271052590130 352368367169 402706705336 503383381670 542105180260 704736734338 1006766763340 1084210360520 1409473468676 1761841835845 2013533526680 2818946937352 3523683671690 7047367343380 14094734686760