Search a number
-
+
14300144302311 = 327232426631071
BaseRepresentation
bin1101000000011000001100…
…0001010111100011100111
31212122002011122101022001200
43100012003001113203213
53333243143420133221
650225221241053543
73004102623002400
oct320060301274347
955562148338050
1014300144302311
11461372572239a
12172b5694872b3
137c966193822a
143761b88149a7
1519bea60b3426
hexd01830578e7

14300144302311 has 18 divisors (see below), whose sum is σ = 24028133624352. Its totient is φ = 8171511029640.

The previous prime is 14300144302309. The next prime is 14300144302393. The reversal of 14300144302311 is 11320344100341.

14300144302311 is a `hidden beast` number, since 1 + 4 + 3 + 0 + 0 + 1 + 44 + 302 + 311 = 666.

It is not a de Polignac number, because 14300144302311 - 21 = 14300144302309 is a prime.

It is a super-3 number, since 3×143001443023113 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14300144342311) 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 in 17 ways as a sum of consecutive naturals, for example, 16213315095 + ... + 16213315976.

It is an arithmetic number, because the mean of its divisors is an integer number (1334896312464).

Almost surely, 214300144302311 is an apocalyptic number.

14300144302311 is a deficient number, since it is larger than the sum of its proper divisors (9727989322041).

14300144302311 is a wasteful number, since it uses less digits than its factorization.

14300144302311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32426631091 (or 32426631081 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 14300144302311 its reverse (11320344100341), we get a palindrome (25620488402652).

The spelling of 14300144302311 in words is "fourteen trillion, three hundred billion, one hundred forty-four million, three hundred two thousand, three hundred eleven".

Divisors: 1 3 7 9 21 49 63 147 441 32426631071 97279893213 226986417497 291839679639 680959252491 1588904922479 2042877757473 4766714767437 14300144302311