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4144411913 is a prime number
BaseRepresentation
bin1111011100000110…
…1011010100001001
3101200211102221100112
43313001223110021
531441432140123
61523125044105
7204462630365
oct36701532411
911624387315
104144411913
11183745a014
12977b56635
13510814c55
142b45c62a5
15193c9dd78
hexf706b509

4144411913 has 2 divisors, whose sum is σ = 4144411914. Its totient is φ = 4144411912.

The previous prime is 4144411877. The next prime is 4144411933. The reversal of 4144411913 is 3191144414.

4144411913 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., 3697004809 + 447407104 = 60803^2 + 21152^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144411913 - 218 = 4144149769 is a prime.

It is a super-3 number, since 3×41444119133 (a number of 30 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4144411913.

It is not a weakly prime, because it can be changed into another prime (4144411933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2072205956 + 2072205957.

It is an arithmetic number, because the mean of its divisors is an integer number (2072205957).

It is a self-describing number.

Almost surely, 24144411913 is an apocalyptic number.

It is an amenable number.

4144411913 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144411913 is an equidigital number, since it uses as much as digits as its factorization.

4144411913 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6912, while the sum is 32.

The square root of 4144411913 is about 64377.1070567791. The cubic root of 4144411913 is about 1606.2789614242.

The spelling of 4144411913 in words is "four billion, one hundred forty-four million, four hundred eleven thousand, nine hundred thirteen".