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13314042303042 = 23133117933239257
BaseRepresentation
bin1100000110111110101011…
…0000110001001001000010
31202010210212111111110110110
43001233222300301021002
53221114124312144132
644152215301012150
72542623244212045
oct301575260611102
952123774443413
1013314042303042
1142734a9869118
1215b04259b4056
1375767cab7a80
143405900d2c5c
151814dea331cc
hexc1beac31242

13314042303042 has 128 divisors (see below), whose sum is σ = 29778989506560. Its totient is φ = 3940719045120.

The previous prime is 13314042303041. The next prime is 13314042303061. The reversal of 13314042303042 is 24030324041331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13314042303041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1438262878 + ... + 1438272134.

It is an arithmetic number, because the mean of its divisors is an integer number (232648355520).

Almost surely, 213314042303042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13314042303042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14889494753280).

13314042303042 is an abundant number, since it is smaller than the sum of its proper divisors (16464947203518).

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

13314042303042 is a wasteful number, since it uses less digits than its factorization.

13314042303042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12808.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 13314042303042 its reverse (24030324041331), we get a palindrome (37344366344373).

The spelling of 13314042303042 in words is "thirteen trillion, three hundred fourteen billion, forty-two million, three hundred three thousand, forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 179 186 358 403 537 806 1074 1209 2327 2418 3323 4654 5549 6646 6981 9257 9969 11098 13962 16647 18514 19938 27771 33294 43199 55542 72137 86398 103013 120341 129597 144274 206026 216411 240682 259194 286967 309039 361023 432822 573934 594817 618078 722046 860901 1189634 1339169 1657003 1721802 1784451 2678338 3314006 3568902 3730571 4017507 4971009 7461142 7732621 8035014 9942018 11191713 15465242 18439327 21541039 22383426 23197863 30761011 36878654 43082078 46395726 51367093 55317981 61522022 64623117 92283033 102734186 110635962 129246234 154101279 184566066 239711251 308202558 399893143 479422502 667772209 719133753 799786286 953591341 1199679429 1335544418 1438267506 1907182682 2003316627 2399358858 2860774023 4006633254 5506220969 5721548046 11012441938 12396687433 16518662907 24793374866 33037325814 37190062299 71580872597 74380124598 143161745194 170692850039 214742617791 341385700078 429485235582 512078550117 1024157100234 2219007050507 4438014101014 6657021151521 13314042303042