Search a number
-
+
2044442441213 is a prime number
BaseRepresentation
bin11101110000000010010…
…000111111010111111101
321020110001201010210011022
4131300002100333113331
5231444004231104323
64203112012433525
7300464122010354
oct35600220772775
97213051123138
102044442441213
11719052506747
122902877788a5
1311aa36ab9673
1470d4706299b
15382a99d34c8
hex1dc0243f5fd

2044442441213 has 2 divisors, whose sum is σ = 2044442441214. Its totient is φ = 2044442441212.

The previous prime is 2044442441201. The next prime is 2044442441227. The reversal of 2044442441213 is 3121442444402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1156695948004 + 887746493209 = 1075498^2 + 942203^2 .

It is a cyclic number.

It is not a de Polignac number, because 2044442441213 - 26 = 2044442441149 is a prime.

It is a super-2 number, since 2×20444424412132 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2044442441243) 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, 1022221220606 + 1022221220607.

It is an arithmetic number, because the mean of its divisors is an integer number (1022221220607).

Almost surely, 22044442441213 is an apocalyptic number.

It is an amenable number.

2044442441213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2044442441213 is an equidigital number, since it uses as much as digits as its factorization.

2044442441213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 2044442441213 its reverse (3121442444402), we get a palindrome (5165884885615).

The spelling of 2044442441213 in words is "two trillion, forty-four billion, four hundred forty-two million, four hundred forty-one thousand, two hundred thirteen".