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414202431013 = 7279571187393
BaseRepresentation
bin1100000011100000110…
…00111000011000100101
31110121010110221121201021
412001300120320120211
523241241310243023
6514140523331141
741632215400300
oct6016030703045
91417113847637
10414202431013
1114a731523a98
1268337680ab1
133009cb75b87
14160944d1b37
15ab936b635d
hex6070638625

414202431013 has 24 divisors (see below), whose sum is σ = 488783518080. Its totient is φ = 349920829440.

The previous prime is 414202430987. The next prime is 414202431017. The reversal of 414202431013 is 310134202414.

It is not a de Polignac number, because 414202431013 - 221 = 414200333861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414202431017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2116645 + ... + 2304037.

It is an arithmetic number, because the mean of its divisors is an integer number (20365979920).

Almost surely, 2414202431013 is an apocalyptic number.

It is an amenable number.

414202431013 is a deficient number, since it is larger than the sum of its proper divisors (74581087067).

414202431013 is a wasteful number, since it uses less digits than its factorization.

414202431013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188057 (or 188050 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 414202431013 its reverse (310134202414), we get a palindrome (724336633427).

The spelling of 414202431013 in words is "four hundred fourteen billion, two hundred two million, four hundred thirty-one thousand, thirteen".

Divisors: 1 7 49 79 553 571 3871 3997 27979 45109 187393 315763 1311751 2210341 9182257 14804047 103628329 107001403 725398303 749009821 5243068747 8453110837 59171775859 414202431013