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413023432024 = 2378388860463
BaseRepresentation
bin1100000001010100001…
…11010110110101011000
31110111002022110021011001
412000222013112311120
523231332444311044
6513423525314344
741561051150410
oct6005207266530
91414068407131
10413023432024
1114a186a61665
12680688659b4
132cc42825638
1415dc1aab640
15ab24e282d4
hex602a1d6d58

413023432024 has 32 divisors (see below), whose sum is σ = 895713477120. Its totient is φ = 174877389216.

The previous prime is 413023431971. The next prime is 413023432033. The reversal of 413023432024 is 420234320314.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 413023431983 and 413023432001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44425584 + ... + 44434879.

It is an arithmetic number, because the mean of its divisors is an integer number (27991046160).

Almost surely, 2413023432024 is an apocalyptic number.

It is an amenable number.

413023432024 is an abundant number, since it is smaller than the sum of its proper divisors (482690045096).

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

413023432024 is a wasteful number, since it uses less digits than its factorization.

413023432024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88860559 (or 88860555 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 413023432024 its reverse (420234320314), we get a palindrome (833257752338).

The spelling of 413023432024 in words is "four hundred thirteen billion, twenty-three million, four hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 83 166 332 581 664 1162 2324 4648 88860463 177720926 355441852 622023241 710883704 1244046482 2488092964 4976185928 7375418429 14750836858 29501673716 51627929003 59003347432 103255858006 206511716012 413023432024