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13141304203404 = 223131374791283683
BaseRepresentation
bin1011111100111011001011…
…0001001101100010001100
31201112022000002021210202110
42333032302301031202030
53210301342334002104
643541010512024020
72524266524456106
oct277166261154214
951468002253673
1013141304203404
1142072176a2193
121582a58232010
137442b17c76b0
1433608494a576
1517bc7eb28e89
hexbf3b2c4d88c

13141304203404 has 96 divisors (see below), whose sum is σ = 33332241438720. Its totient is φ = 4005580773888.

The previous prime is 13141304203393. The next prime is 13141304203421. The reversal of 13141304203404 is 40430240314131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9595347 + ... + 10879029.

It is an arithmetic number, because the mean of its divisors is an integer number (347210848320).

Almost surely, 213141304203404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141304203404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16666120719360).

13141304203404 is an abundant number, since it is smaller than the sum of its proper divisors (20190937235316).

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

13141304203404 is a wasteful number, since it uses less digits than its factorization.

13141304203404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284319 (or 1284317 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13141304203404 its reverse (40430240314131), we get a palindrome (53571544517535).

The spelling of 13141304203404 in words is "thirteen trillion, one hundred forty-one billion, three hundred four million, two hundred three thousand, four hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 479 548 822 958 1437 1644 1781 1916 2874 3562 5343 5748 6227 7124 10686 12454 18681 21372 24908 37362 65623 74724 131246 196869 262492 393738 787476 853099 1283683 1706198 2559297 2567366 3412396 3851049 5118594 5134732 7702098 10237188 15404196 16687879 33375758 50063637 66751516 100127274 175864571 200254548 351729142 527593713 614884157 703458284 1055187426 1229768314 1844652471 2110374852 2286239423 2459536628 3689304942 4572478846 6858718269 7378609884 7993494041 9144957692 13717436538 15986988082 23980482123 27434873076 31973976164 47960964246 84239129509 95921928492 168478259018 252717388527 336956518036 505434777054 1010869554108 1095108683617 2190217367234 3285326050851 4380434734468 6570652101702 13141304203404