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14314314431801 is a prime number
BaseRepresentation
bin1101000001001100111110…
…1000000111110100111001
31212200102202011222110102102
43100103033220013310321
53334011203443304201
650235523312113145
73005114025056306
oct320231750076471
955612664873372
1014314314431801
11461973736140a
121732262b357b5
137caaac573337
14376b607360ad
1519c53510026b
hexd04cfa07d39

14314314431801 has 2 divisors, whose sum is σ = 14314314431802. Its totient is φ = 14314314431800.

The previous prime is 14314314431797. The next prime is 14314314431839. The reversal of 14314314431801 is 10813441341341.

14314314431801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (14314314431839) can be obtained adding 14314314431801 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11364645580201 + 2949668851600 = 3371149^2 + 1717460^2 .

It is a cyclic number.

It is not a de Polignac number, because 14314314431801 - 22 = 14314314431797 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (14314314431401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7157157215900 + 7157157215901.

It is an arithmetic number, because the mean of its divisors is an integer number (7157157215901).

Almost surely, 214314314431801 is an apocalyptic number.

It is an amenable number.

14314314431801 is a deficient number, since it is larger than the sum of its proper divisors (1).

14314314431801 is an equidigital number, since it uses as much as digits as its factorization.

14314314431801 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 38.

The spelling of 14314314431801 in words is "fourteen trillion, three hundred fourteen billion, three hundred fourteen million, four hundred thirty-one thousand, eight hundred one".