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413003312041 = 174373127149409
BaseRepresentation
bin1100000001010001110…
…10100110101110101001
31110111000220121001201111
412000220322212232221
523231312321441131
6513421530150321
741560415141515
oct6005072465651
91414026531644
10413003312041
1114a17666a181
1268061b823a1
132cc3b5cc718
1415dbd151145
15ab232a1ab1
hex6028ea6ba9

413003312041 has 64 divisors (see below), whose sum is σ = 461362176000. Its totient is φ = 368124051456.

The previous prime is 413003312021. The next prime is 413003312053. The reversal of 413003312041 is 140213300314.

It is not a de Polignac number, because 413003312041 - 217 = 413003180969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413003312021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1009787845 + ... + 1009788253.

It is an arithmetic number, because the mean of its divisors is an integer number (7208784000).

Almost surely, 2413003312041 is an apocalyptic number.

It is an amenable number.

413003312041 is a deficient number, since it is larger than the sum of its proper divisors (48358863959).

413003312041 is a wasteful number, since it uses less digits than its factorization.

413003312041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 413003312041 its reverse (140213300314), we get a palindrome (553216612355).

The spelling of 413003312041 in words is "four hundred thirteen billion, three million, three hundred twelve thousand, forty-one".

Divisors: 1 17 43 73 127 149 409 731 1241 2159 2533 3139 5461 6407 6953 9271 10877 17587 18923 29857 51943 53363 60941 92837 108919 157607 184909 298979 321691 398653 467711 507569 813689 883031 1035997 1283851 1381379 2233549 2620463 3791839 4448693 6777101 7739507 7951087 13832713 21825467 23483443 37970333 44547871 59399297 64461263 75627781 131571619 163049077 191293799 332798801 564984011 1009788049 2771834309 3251994583 5657579617 9604728187 24294312473 413003312041