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412343321225440 = 25511491174769957
BaseRepresentation
bin101110111000001100010100…
…1001011111110100011100000
32000001222122012000210111222111
41131300120221023332203200
5413021313110213203230
64020551523502245104
7152565551616135223
oct13560305113764340
92001878160714874
10412343321225440
1110a426903077650
123a2b6a93b86794
1314910a67c22c37
1473b7747a795ba
1532a0ee1a8b92a
hex17706292fe8e0

412343321225440 has 96 divisors (see below), whose sum is σ = 1062743055391584. Its totient is φ = 149939941693440.

The previous prime is 412343321225393. The next prime is 412343321225491. The reversal of 412343321225440 is 44522123343214.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 412343321225393 and 412343321225402.

It is a congruent number.

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, 84060942 + ... + 88830898.

It is an arithmetic number, because the mean of its divisors is an integer number (11070240160329).

Almost surely, 2412343321225440 is an apocalyptic number.

412343321225440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412343321225440 is an abundant number, since it is smaller than the sum of its proper divisors (650399734166144).

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

412343321225440 is a wasteful number, since it uses less digits than its factorization.

412343321225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819100 (or 4819092 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 412343321225440 its reverse (44522123343214), we get a palindrome (456865444568654).

The spelling of 412343321225440 in words is "four hundred twelve trillion, three hundred forty-three billion, three hundred twenty-one million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 49117 98234 196468 245585 392936 491170 540287 785872 982340 1080574 1571744 1964680 2161148 2701435 3929360 4322296 4769957 5402870 7858720 8644592 9539914 10805740 17289184 19079828 21611480 23849785 38159656 43222960 47699570 52469527 76319312 86445920 95399140 104939054 152638624 190798280 209878108 262347635 381596560 419756216 524695270 763193120 839512432 1049390540 1679024864 2098781080 4197562160 8395124320 234285977969 468571955938 937143911876 1171429889845 1874287823752 2342859779690 2577145757659 3748575647504 4685719559380 5154291515318 7497151295008 9371439118760 10308583030636 12885728788295 18742878237520 20617166061272 25771457576590 37485756475040 41234332122544 51542915153180 82468664245088 103085830306360 206171660612720 412343321225440