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413432502311142 = 2324712732571181443
BaseRepresentation
bin101111000000000111100000…
…1011100000101100011100110
32000012211202112221011111100200
41132000033001130011203212
5413142134231042424032
64023144134121051330
7153040340550456456
oct13600170134054346
92005752487144320
10413432502311142
1110a806815434156
123a451ba4626b46
131498c696467972
14741435032dd66
1532be4dc81d47c
hex17803c17058e6

413432502311142 has 96 divisors (see below), whose sum is σ = 922316620972032. Its totient is φ = 133775452685952.

The previous prime is 413432502311117. The next prime is 413432502311159. The reversal of 413432502311142 is 241113205234314.

413432502311142 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 3 + 2 + 502 + 3 + 1 + 1 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 413432502311097 and 413432502311106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349347873 + ... + 350529315.

It is an arithmetic number, because the mean of its divisors is an integer number (9607464801792).

Almost surely, 2413432502311142 is an apocalyptic number.

413432502311142 is an abundant number, since it is smaller than the sum of its proper divisors (508884118660890).

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

413432502311142 is a wasteful number, since it uses less digits than its factorization.

413432502311142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184882 (or 1184879 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 413432502311142 its reverse (241113205234314), we get a palindrome (654545707545456).

The spelling of 413432502311142 in words is "four hundred thirteen trillion, four hundred thirty-two billion, five hundred two million, three hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 47 94 127 141 254 282 381 423 762 846 1143 2286 3257 5969 6514 9771 11938 17907 19542 29313 35814 53721 58626 107442 153079 306158 413639 459237 827278 918474 1181443 1240917 1377711 2362886 2481834 2755422 3544329 3722751 7088658 7445502 10632987 19441033 21265974 38882066 55527821 58323099 111055642 116646198 150043261 166583463 174969297 300086522 333166926 349938594 450129783 499750389 900259566 999500778 1350389349 2700778698 3847959851 7052033267 7695919702 11543879553 14104066534 21156099801 23087759106 34631638659 42312199602 63468299403 69263277318 126936598806 180854112997 361708225994 488690901077 542562338991 977381802154 1085124677982 1466072703231 1627687016973 2932145406462 3255374033946 4398218109693 8796436219386 22968472350619 45936944701238 68905417051857 137810834103714 206716251155571 413432502311142