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13408146667381 is a prime number
BaseRepresentation
bin1100001100011101001111…
…0100011011011101110101
31202110210202210110110222211
43003013103310123131311
53224134341021324011
644303341220053421
72552464242132304
oct303072364333565
952423683413884
1013408146667381
1142aa3aa275954
121606709234271
137634c903c8ab
14344d5a15043b
15183b9b39cb21
hexc31d3d1b775

13408146667381 has 2 divisors, whose sum is σ = 13408146667382. Its totient is φ = 13408146667380.

The previous prime is 13408146667367. The next prime is 13408146667439. The reversal of 13408146667381 is 18376664180431.

It is a happy number.

It is an a-pointer prime, because the next prime (13408146667439) can be obtained adding 13408146667381 to its sum of digits (58).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10805519480625 + 2602627186756 = 3287175^2 + 1613266^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13408146667381 is a prime.

It is a super-2 number, since 2×134081466673812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13408146668381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6704073333690 + 6704073333691.

It is an arithmetic number, because the mean of its divisors is an integer number (6704073333691).

Almost surely, 213408146667381 is an apocalyptic number.

It is an amenable number.

13408146667381 is a deficient number, since it is larger than the sum of its proper divisors (1).

13408146667381 is an equidigital number, since it uses as much as digits as its factorization.

13408146667381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 13408146667381 in words is "thirteen trillion, four hundred eight billion, one hundred forty-six million, six hundred sixty-seven thousand, three hundred eighty-one".