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413041231140 = 223510168399793
BaseRepresentation
bin1100000001010110010…
…11010000010100100100
31110111010112221112221120
412000223023100110210
523231402023344030
6513425403013540
741561355352026
oct6005313202444
91414115845846
10413041231140
1114a19600937a
126807280a2b0
132cc46418065
1415dc41c2016
15ab26792010
hex602b2d0524

413041231140 has 96 divisors (see below), whose sum is σ = 1169687869056. Its totient is φ = 108893030400.

The previous prime is 413041231139. The next prime is 413041231157. The reversal of 413041231140 is 41132140314.

It is a super-4 number, since 4×4130412311404 (a number of 48 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413041231140.

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, 4089084 + ... + 4188876.

It is an arithmetic number, because the mean of its divisors is an integer number (12184248636).

Almost surely, 2413041231140 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 413041231140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584843934528).

413041231140 is an abundant number, since it is smaller than the sum of its proper divisors (756646637916).

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

413041231140 is a wasteful number, since it uses less digits than its factorization.

413041231140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100589 (or 100587 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 413041231140 its reverse (41132140314), we get a palindrome (454173371454).

The spelling of 413041231140 in words is "four hundred thirteen billion, forty-one million, two hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 683 1010 1212 1366 1515 2020 2049 2732 3030 3415 4098 6060 6830 8196 10245 13660 20490 40980 68983 99793 137966 199586 206949 275932 299379 344915 399172 413898 498965 598758 689830 827796 997930 1034745 1197516 1379660 1496895 1995860 2069490 2993790 4138980 5987580 10079093 20158186 30237279 40316372 50395465 60474558 68158619 100790930 120949116 136317238 151186395 201581860 204475857 272634476 302372790 340793095 408951714 604745580 681586190 817903428 1022379285 1363172380 2044758570 4089517140 6884020519 13768041038 20652061557 27536082076 34420102595 41304123114 68840205190 82608246228 103260307785 137680410380 206520615570 413041231140