Search a number
-
+
441428993 is a prime number
BaseRepresentation
bin11010010011111…
…010110000000001
31010202121220201222
4122103322300001
51401001211433
6111445204425
713640040665
oct3223726001
91122556658
10441428993
112071a2155
12103a00715
13705b86b5
14428aa8a5
1528b48b98
hex1a4fac01

441428993 has 2 divisors, whose sum is σ = 441428994. Its totient is φ = 441428992.

The previous prime is 441428969. The next prime is 441429007. The reversal of 441428993 is 399824144.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 358837249 + 82591744 = 18943^2 + 9088^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-441428993 is a prime.

It is not a weakly prime, because it can be changed into another prime (441428293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 220714496 + 220714497.

It is an arithmetic number, because the mean of its divisors is an integer number (220714497).

Almost surely, 2441428993 is an apocalyptic number.

It is an amenable number.

441428993 is a deficient number, since it is larger than the sum of its proper divisors (1).

441428993 is an equidigital number, since it uses as much as digits as its factorization.

441428993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 44.

The square root of 441428993 is about 21010.2116362496. The cubic root of 441428993 is about 761.4129951712.

It can be divided in two parts, 44142 and 8993, that added together give a palindrome (53135).

The spelling of 441428993 in words is "four hundred forty-one million, four hundred twenty-eight thousand, nine hundred ninety-three".