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13141213004244 = 22313101941886339
BaseRepresentation
bin1011111100111010110101…
…0101010100000111010100
31201112021202201200102000210
42333032231111110013110
53210301201012113434
643540553453205420
72524264336340253
oct277165525240724
951467681612023
1013141213004244
114207180171986
121582a31790870
137442989459b0
143360767aa79a
1517bc76b11ee9
hexbf3ad5541d4

13141213004244 has 96 divisors (see below), whose sum is σ = 33383932283520. Its totient is φ = 3999157056000.

The previous prime is 13141213004239. The next prime is 13141213004251. The reversal of 13141213004244 is 44240031214131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14383227 + ... + 15269565.

It is an arithmetic number, because the mean of its divisors is an integer number (347749294620).

Almost surely, 213141213004244 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 13141213004244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16691966141760).

13141213004244 is an abundant number, since it is smaller than the sum of its proper divisors (20242719279276).

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

13141213004244 is a wasteful number, since it uses less digits than its factorization.

13141213004244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887401 (or 887399 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 13141213004244 its reverse (44240031214131), we get a palindrome (57381244218375).

The spelling of 13141213004244 in words is "thirteen trillion, one hundred forty-one billion, two hundred thirteen million, four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 303 404 606 941 1212 1313 1882 2626 2823 3764 3939 5252 5646 7878 11292 12233 15756 24466 36699 48932 73398 95041 146796 190082 285123 380164 570246 886339 1140492 1235533 1772678 2471066 2659017 3545356 3706599 4942132 5318034 7413198 10636068 11522407 14826396 23044814 34567221 46089628 69134442 89520239 138268884 179040478 268560717 358080956 537121434 834044999 1074242868 1163763107 1668089998 2327526214 2502134997 3336179996 3491289321 4655052428 5004269994 6982578642 10008539988 10842584987 13965157284 21685169974 32527754961 43370339948 65055509922 84238544899 130111019844 168477089798 252715634697 336954179596 505431269394 1010862538788 1095101083687 2190202167374 3285303251061 4380404334748 6570606502122 13141213004244