Search a number
-
+
4144313389 is a prime number
BaseRepresentation
bin1111011100000101…
…0011010000101101
3101200211020221012111
43313001103100231
531441421012024
61523123004021
7204462040216
oct36701232055
911624227174
104144313389
1118373a1a97
12977b09611
135107ac158
142b459c40d
15193c7ea94
hexf705342d

4144313389 has 2 divisors, whose sum is σ = 4144313390. Its totient is φ = 4144313388.

The previous prime is 4144313359. The next prime is 4144313413. The reversal of 4144313389 is 9833134414.

4144313389 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2441348100 + 1702965289 = 49410^2 + 41267^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144313389 - 25 = 4144313357 is a prime.

It is a super-3 number, since 3×41443133893 (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 (4144313309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2072156694 + 2072156695.

It is an arithmetic number, because the mean of its divisors is an integer number (2072156695).

Almost surely, 24144313389 is an apocalyptic number.

It is an amenable number.

4144313389 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144313389 is an equidigital number, since it uses as much as digits as its factorization.

4144313389 is an evil number, because the sum of its binary digits is even.

The product of its digits is 124416, while the sum is 40.

The square root of 4144313389 is about 64376.3418423259. The cubic root of 4144313389 is about 1606.2662327761.

The spelling of 4144313389 in words is "four billion, one hundred forty-four million, three hundred thirteen thousand, three hundred eighty-nine".