Search a number
-
+
462551111400431 is a prime number
BaseRepresentation
bin110100100101100000001001…
…0101011110111101111101111
32020122202110021020211100201102
41221023000102223313233233
5441111414134004303211
64315433014100233315
7166300133512115654
oct15113002253675757
92218673236740642
10462551111400431
11124423908780689
1243a6560739b83b
1316b134c8890b81
148231843c0dc2b
153872038a20a3b
hex1a4b012af7bef

462551111400431 has 2 divisors, whose sum is σ = 462551111400432. Its totient is φ = 462551111400430.

The previous prime is 462551111400353. The next prime is 462551111400439. The reversal of 462551111400431 is 134004111155264.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-462551111400431 is a prime.

It is a super-3 number, since 3×4625511114004313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (462551111400439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 231275555700215 + 231275555700216.

It is an arithmetic number, because the mean of its divisors is an integer number (231275555700216).

Almost surely, 2462551111400431 is an apocalyptic number.

462551111400431 is a deficient number, since it is larger than the sum of its proper divisors (1).

462551111400431 is an equidigital number, since it uses as much as digits as its factorization.

462551111400431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57600, while the sum is 38.

Adding to 462551111400431 its reverse (134004111155264), we get a palindrome (596555222555695).

The spelling of 462551111400431 in words is "four hundred sixty-two trillion, five hundred fifty-one billion, one hundred eleven million, four hundred thousand, four hundred thirty-one".