Search a number
-
+
404400004031 is a prime number
BaseRepresentation
bin1011110001010000001…
…11100101101110111111
31102122211022221201211002
411320220013211232333
523111202400112111
6505440115320515
741134260214052
oct5705007455677
91378738851732
10404400004031
11146561294571
12664608b013b
132c19a0a311a
14158046bca99
15a7bcd3363b
hex5e281e5bbf

404400004031 has 2 divisors, whose sum is σ = 404400004032. Its totient is φ = 404400004030.

The previous prime is 404400004009. The next prime is 404400004037. The reversal of 404400004031 is 130400004404.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404400004031 is a prime.

It is a super-2 number, since 2×4044000040312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 404400003994 and 404400004012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404400004037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202200002015 + 202200002016.

It is an arithmetic number, because the mean of its divisors is an integer number (202200002016).

Almost surely, 2404400004031 is an apocalyptic number.

404400004031 is a deficient number, since it is larger than the sum of its proper divisors (1).

404400004031 is an equidigital number, since it uses as much as digits as its factorization.

404400004031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 404400004031 its reverse (130400004404), we get a palindrome (534800008435).

The spelling of 404400004031 in words is "four hundred four billion, four hundred million, four thousand, thirty-one".