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413563540431 = 32329613388171
BaseRepresentation
bin1100000010010100100…
…11101101001111001111
31110112110221202121121010
412001022103231033033
523233434231243211
6513553301540303
741610330043446
oct6011223551717
91415427677533
10413563540431
1114a433923048
1268199714693
132ccca6b1702
1416033703d5d
15ab575654a6
hex604a4ed3cf

413563540431 has 32 divisors (see below), whose sum is σ = 604991992320. Its totient is φ = 250453526400.

The previous prime is 413563540427. The next prime is 413563540433. The reversal of 413563540431 is 134045365314.

It is not a de Polignac number, because 413563540431 - 22 = 413563540427 is a prime.

It is a super-2 number, since 2×4135635404312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413563540431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413563540433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1572025 + ... + 1816146.

It is an arithmetic number, because the mean of its divisors is an integer number (18905999760).

Almost surely, 2413563540431 is an apocalyptic number.

413563540431 is a deficient number, since it is larger than the sum of its proper divisors (191428451889).

413563540431 is a wasteful number, since it uses less digits than its factorization.

413563540431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3388287.

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 413563540431 in words is "four hundred thirteen billion, five hundred sixty-three million, five hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 23 29 61 69 87 183 667 1403 1769 2001 4209 5307 40687 122061 3388171 10164513 77927933 98256959 206678431 233783799 294770877 620035293 2259910057 4753603913 5993674499 6779730171 14260811739 17981023497 137854513477 413563540431