Search a number
-
+
404032312993 is a prime number
BaseRepresentation
bin1011110000100100011…
…00111101011010100001
31102121212201002002112111
411320102030331122201
523104424233003433
6505335422355321
741122203665401
oct5702214753241
91377781062474
10404032312993
11146392786881
126637972bb41
132c13bb6476a
14157ab928801
15a79a902dcd
hex5e1233d6a1

404032312993 has 2 divisors, whose sum is σ = 404032312994. Its totient is φ = 404032312992.

The previous prime is 404032312973. The next prime is 404032313099. The reversal of 404032312993 is 399213230404.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302887323904 + 101144989089 = 550352^2 + 318033^2 .

It is a cyclic number.

It is not a de Polignac number, because 404032312993 - 213 = 404032304801 is a prime.

It is not a weakly prime, because it can be changed into another prime (404032312913) 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, 202016156496 + 202016156497.

It is an arithmetic number, because the mean of its divisors is an integer number (202016156497).

Almost surely, 2404032312993 is an apocalyptic number.

It is an amenable number.

404032312993 is a deficient number, since it is larger than the sum of its proper divisors (1).

404032312993 is an equidigital number, since it uses as much as digits as its factorization.

404032312993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 404032312993 in words is "four hundred four billion, thirty-two million, three hundred twelve thousand, nine hundred ninety-three".