Search a number
-
+
14300414412181 is a prime number
BaseRepresentation
bin1101000000011001001100…
…0111110000010110010101
31212122002212110122022010221
43100012103013300112111
53333244222042142211
650225304130314341
73004112412621622
oct320062307602625
955562773568127
1014300414412181
114613854140997
12172b623a289b1
137c96a589c061
14376202647349
1519bebeb6ac71
hexd01931f0595

14300414412181 has 2 divisors, whose sum is σ = 14300414412182. Its totient is φ = 14300414412180.

The previous prime is 14300414412139. The next prime is 14300414412187. The reversal of 14300414412181 is 18121441400341.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12232268421156 + 2068145991025 = 3497466^2 + 1438105^2 .

It is a cyclic number.

It is not a de Polignac number, because 14300414412181 - 223 = 14300406023573 is a prime.

It is a super-2 number, since 2×143004144121812 (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 (14300414412187) 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, 7150207206090 + 7150207206091.

It is an arithmetic number, because the mean of its divisors is an integer number (7150207206091).

Almost surely, 214300414412181 is an apocalyptic number.

It is an amenable number.

14300414412181 is a deficient number, since it is larger than the sum of its proper divisors (1).

14300414412181 is an equidigital number, since it uses as much as digits as its factorization.

14300414412181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 14300414412181 in words is "fourteen trillion, three hundred billion, four hundred fourteen million, four hundred twelve thousand, one hundred eighty-one".