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4144335193 is a prime number
BaseRepresentation
bin1111011100000101…
…1000100101011001
3101200211022001010001
43313001120211121
531441422211233
61523123253001
7204462160615
oct36701304531
911624261101
104144335193
111837407409
12977b1a161
135107b905b
142b45a6345
15193c8627d
hexf7058959

4144335193 has 2 divisors, whose sum is σ = 4144335194. Its totient is φ = 4144335192.

The previous prime is 4144335149. The next prime is 4144335197. The reversal of 4144335193 is 3915334414.

4144335193 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., 3462498649 + 681836544 = 58843^2 + 26112^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144335193 - 213 = 4144327001 is a prime.

It is not a weakly prime, because it can be changed into another prime (4144335197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2072167596 + 2072167597.

It is an arithmetic number, because the mean of its divisors is an integer number (2072167597).

Almost surely, 24144335193 is an apocalyptic number.

It is an amenable number.

4144335193 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144335193 is an equidigital number, since it uses as much as digits as its factorization.

4144335193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 77760, while the sum is 37.

The square root of 4144335193 is about 64376.5111900296. The cubic root of 4144335193 is about 1606.2690497259.

It can be divided in two parts, 41443 and 35193, that added together give a triangular number (76636 = T391).

The spelling of 4144335193 in words is "four billion, one hundred forty-four million, three hundred thirty-five thousand, one hundred ninety-three".