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413110120211442 = 2343350337611377
BaseRepresentation
bin101110111101110001011000…
…1111101111110001111110010
32000011200221102120100222220000
41131323202301331332033302
5413121344011233231232
64022340100321530430
7153005135614026123
oct13573426175761762
92004627376328800
10413110120211442
1110a6a20221120a5
123a3bb6134a3a16
131496816a5a22a4
1474028ca7c604a
1532b5e2020627c
hex177b8b1f7e3f2

413110120211442 has 40 divisors (see below), whose sum is σ = 925675561317276. Its totient is φ = 137702944297728.

The previous prime is 413110120211417. The next prime is 413110120211471. The reversal of 413110120211442 is 244112021011314.

413110120211442 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 1 + 0 + 1 + 2 + 0 + 211 + 442 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 406795458827241 + 6314661384201 = 20169171^2 + 2512899^2 .

It is a super-2 number, since 2×4131101202114422 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50469658 + ... + 58081034.

Almost surely, 2413110120211442 is an apocalyptic number.

413110120211442 is an abundant number, since it is smaller than the sum of its proper divisors (512565441105834).

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

413110120211442 is a wasteful number, since it uses less digits than its factorization.

413110120211442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7946424 (or 7946415 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 413110120211442 its reverse (244112021011314), we get a palindrome (657222141222756).

The spelling of 413110120211442 in words is "four hundred thirteen trillion, one hundred ten billion, one hundred twenty million, two hundred eleven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 335033 670066 1005099 2010198 3015297 6030594 7611377 9045891 15222754 18091782 22834131 27137673 45668262 54275346 68502393 137004786 205507179 411014358 616521537 1233043074 2550062470441 5100124940882 7650187411323 15300374822646 22950562233969 45901124467938 68851686701907 137703373403814 206555060105721 413110120211442