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413008344431 is a prime number
BaseRepresentation
bin1100000001010010011…
…01110011010101101111
31110111001021001201212022
412000221031303111233
523231320114010211
6513422230100355
741560506001304
oct6005115632557
91414037051768
10413008344431
1114a179497081
12680637aa6bb
132cc3c672177
1415dbdaa10ab
15ab23947bdb
hex602937356f

413008344431 has 2 divisors, whose sum is σ = 413008344432. Its totient is φ = 413008344430.

The previous prime is 413008344409. The next prime is 413008344439. The reversal of 413008344431 is 134443800314.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413008344431 is a prime.

It is a super-2 number, since 2×4130083444312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413008344391 and 413008344400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413008344439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206504172215 + 206504172216.

It is an arithmetic number, because the mean of its divisors is an integer number (206504172216).

Almost surely, 2413008344431 is an apocalyptic number.

413008344431 is a deficient number, since it is larger than the sum of its proper divisors (1).

413008344431 is an equidigital number, since it uses as much as digits as its factorization.

413008344431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 413008344431 in words is "four hundred thirteen billion, eight million, three hundred forty-four thousand, four hundred thirty-one".