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413502411040304 = 242925125491392889
BaseRepresentation
bin101111000000101000000100…
…0010100101110011000110000
32000020002102222222202220011212
41132001100020110232120300
5413144310414211242204
64023240215111455252
7153045364136041415
oct13601201024563060
92006072888686155
10413502411040304
1110a83342a057083
123a463654987528
1314996157a06ab1
1474178a2b8810c
1532c122ee00c6e
hex178140852e630

413502411040304 has 80 divisors (see below), whose sum is σ = 832416136020000. Its totient is φ = 198748402944000.

The previous prime is 413502411040297. The next prime is 413502411040321. The reversal of 413502411040304 is 403040114205314.

It is a super-2 number, since 2×4135024110403042 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296170292 + ... + 297563180.

It is an arithmetic number, because the mean of its divisors is an integer number (10405201700250).

Almost surely, 2413502411040304 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 413502411040304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416208068010000).

413502411040304 is an abundant number, since it is smaller than the sum of its proper divisors (418913724979696).

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

413502411040304 is a wasteful number, since it uses less digits than its factorization.

413502411040304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395726 (or 1395720 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 413502411040304 its reverse (403040114205314), we get a palindrome (816542525245618).

The spelling of 413502411040304 in words is "four hundred thirteen trillion, five hundred two billion, four hundred eleven million, forty thousand, three hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 251 464 502 1004 2008 2549 4016 5098 7279 10196 14558 20392 29116 40784 58232 73921 116464 147842 295684 591368 639799 1182736 1279598 1392889 2559196 2785778 5118392 5571556 10236784 11143112 18554171 22286224 37108342 40393781 74216684 80787562 148433368 161575124 296866736 323150248 349615139 646300496 699230278 1398460556 2796921112 3550474061 5593842224 7100948122 10138839031 14201896244 20277678062 28403792488 40555356124 56807584976 81110712248 102963747769 162221424496 205927495538 411854991076 823709982152 891168989311 1647419964304 1782337978622 3564675957244 7129351914488 14258703828976 25843900690019 51687801380038 103375602760076 206751205520152 413502411040304