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413314233331041 = 32737241735734371
BaseRepresentation
bin101110111111010000011100…
…0000011101110110101100001
32000012102110021120012210202100
41131332200320003232311201
5413133220022213043131
64023013534302241013
7153025653000643350
oct13576407003566541
92005373246183670
10413314233331041
1110a7706446a9999
123a433098586169
1314981498a9b133
14740c730c65997
1532bb3b97e77e6
hex177e8380eed61

413314233331041 has 48 divisors (see below), whose sum is σ = 703644581630848. Its totient is φ = 228842818444800.

The previous prime is 413314233331001. The next prime is 413314233331049. The reversal of 413314233331041 is 140133332413314.

413314233331041 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 1 + 4 + 2 + 333 + 310 + 4 + 1 = 666.

It is not a de Polignac number, because 413314233331041 - 223 = 413314224942433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413314233330987 and 413314233331005.

It is not an unprimeable number, because it can be changed into a prime (413314233331049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367305415 + ... + 368428956.

Almost surely, 2413314233331041 is an apocalyptic number.

It is an amenable number.

413314233331041 is a deficient number, since it is larger than the sum of its proper divisors (290330348299807).

413314233331041 is a wasteful number, since it uses less digits than its factorization.

413314233331041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735734662 (or 735734659 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 413314233331041 its reverse (140133332413314), we get a palindrome (553447565744355).

The spelling of 413314233331041 in words is "four hundred thirteen trillion, three hundred fourteen billion, two hundred thirty-three million, three hundred thirty-one thousand, forty-one".

Divisors: 1 3 7 9 21 37 63 111 241 259 333 723 777 1687 2169 2331 5061 8917 15183 26751 62419 80253 187257 561771 735734371 2207203113 5150140597 6621609339 15450421791 27222171727 46351265373 81666515181 177311983411 190555202089 244999545543 531935950233 571665606267 1241183883877 1595807850699 1714996818801 3723551651631 6560543386207 11170654954893 19681630158621 45923803703449 59044890475863 137771411110347 413314233331041