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410031144041013 = 321110079410926553
BaseRepresentation
bin101110100111010111101000…
…0101011111111101000110101
31222202210121001102111120120200
41131032233100223333220311
5412220422240333303023
64012021412424551113
7152236525663300215
oct13516572053775065
91882717042446520
10410031144041013
11109715260359690
1239ba2948622499
13147a3a03a9bcc1
147337882b06245
153260cb7330743
hex174ebd0affa35

410031144041013 has 24 divisors (see below), whose sum is σ = 646173787633920. Its totient is φ = 248479067463360.

The previous prime is 410031144041009. The next prime is 410031144041017. The reversal of 410031144041013 is 310140441130014.

410031144041013 is a `hidden beast` number, since 4 + 100 + 3 + 1 + 144 + 0 + 410 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (410031144041009) and next prime (410031144041017).

It is not a de Polignac number, because 410031144041013 - 22 = 410031144041009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410031144041017) 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, 204465456 + ... + 206461097.

It is an arithmetic number, because the mean of its divisors is an integer number (26923907818080).

Almost surely, 2410031144041013 is an apocalyptic number.

It is an amenable number.

410031144041013 is a deficient number, since it is larger than the sum of its proper divisors (236142643592907).

410031144041013 is a wasteful number, since it uses less digits than its factorization.

410031144041013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410936649 (or 410936646 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 410031144041013 its reverse (310140441130014), we get a palindrome (720171585171027).

The spelling of 410031144041013 in words is "four hundred ten trillion, thirty-one billion, one hundred forty-four million, forty-one thousand, thirteen".

Divisors: 1 3 9 11 33 99 10079 30237 90711 110869 332607 997821 410926553 1232779659 3698338977 4520192083 13560576249 40681728747 4141728727687 12425186183061 37275558549183 45559016004557 136677048013671 410031144041013