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4144322213 is a prime number
BaseRepresentation
bin1111011100000101…
…0101011010100101
3101200211021101022022
43313001111122211
531441421302323
61523123112525
7204462105023
oct36701253245
911624241268
104144322213
1118373a8689
12977b12745
135107b3185
142b45a1713
15193c824c8
hexf70556a5

4144322213 has 2 divisors, whose sum is σ = 4144322214. Its totient is φ = 4144322212.

The previous prime is 4144322179. The next prime is 4144322251. The reversal of 4144322213 is 3122234414.

4144322213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3613572769 + 530749444 = 60113^2 + 23038^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144322213 - 214 = 4144305829 is a prime.

It is a super-3 number, since 3×41443222133 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4144322263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2072161106 + 2072161107.

It is an arithmetic number, because the mean of its divisors is an integer number (2072161107).

Almost surely, 24144322213 is an apocalyptic number.

It is an amenable number.

4144322213 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144322213 is an equidigital number, since it uses as much as digits as its factorization.

4144322213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 26.

The square root of 4144322213 is about 64376.4103767832. The cubic root of 4144322213 is about 1606.2673727867.

Adding to 4144322213 its reverse (3122234414), we get a palindrome (7266556627).

The spelling of 4144322213 in words is "four billion, one hundred forty-four million, three hundred twenty-two thousand, two hundred thirteen".