Search a number
-
+
504223221032441 is a prime number
BaseRepresentation
bin111001010100101101001110…
…1111110100010010111111001
32110010022021021020000200221122
41302221122131332202113321
51012042143124041014231
64544220541105115025
7211130632315431041
oct16251323576422771
92403267236020848
10504223221032441
1113672a95a222a39
1248675a08628a75
13188470795aa071
148c72769864721
153d4600a74d77b
hex1ca969dfa25f9

504223221032441 has 2 divisors, whose sum is σ = 504223221032442. Its totient is φ = 504223221032440.

The previous prime is 504223221032431. The next prime is 504223221032459. The reversal of 504223221032441 is 144230122322405.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 496221111592441 + 8002109440000 = 22276021^2 + 2828800^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-504223221032441 is a prime.

It is not a weakly prime, because it can be changed into another prime (504223221032431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252111610516220 + 252111610516221.

It is an arithmetic number, because the mean of its divisors is an integer number (252111610516221).

Almost surely, 2504223221032441 is an apocalyptic number.

It is an amenable number.

504223221032441 is a deficient number, since it is larger than the sum of its proper divisors (1).

504223221032441 is an equidigital number, since it uses as much as digits as its factorization.

504223221032441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 504223221032441 its reverse (144230122322405), we get a palindrome (648453343354846).

The spelling of 504223221032441 in words is "five hundred four trillion, two hundred twenty-three billion, two hundred twenty-one million, thirty-two thousand, four hundred forty-one".