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13414032809 is a prime number
BaseRepresentation
bin11000111111000100…
…11110010110101001
31021121211212110200222
430133202132112221
5204432443022214
610055021135425
7653261253242
oct143742362651
937554773628
1013414032809
115763965431
1227243ba575
13135a0b7628
14913743cc9
1553798838e
hex31f89e5a9

13414032809 has 2 divisors, whose sum is σ = 13414032810. Its totient is φ = 13414032808.

The previous prime is 13414032803. The next prime is 13414032811. The reversal of 13414032809 is 90823041431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12785277184 + 628755625 = 113072^2 + 25075^2 .

It is an emirp because it is prime and its reverse (90823041431) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13414032809 - 212 = 13414028713 is a prime.

It is a super-3 number, since 3×134140328093 (a number of 31 digits) contains 333 as substring.

Together with 13414032811, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13414032803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6707016404 + 6707016405.

It is an arithmetic number, because the mean of its divisors is an integer number (6707016405).

Almost surely, 213414032809 is an apocalyptic number.

It is an amenable number.

13414032809 is a deficient number, since it is larger than the sum of its proper divisors (1).

13414032809 is an equidigital number, since it uses as much as digits as its factorization.

13414032809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 13414032809 in words is "thirteen billion, four hundred fourteen million, thirty-two thousand, eight hundred nine".