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4144106333 is a prime number
BaseRepresentation
bin1111011100000010…
…0000101101011101
3101200210212102011202
43313000200231131
531441342400313
61523114325245
7204460215443
oct36700405535
911623772152
104144106333
111837270474
12977a29825
13510738b33
142b4546b93
15193c3d558
hexf7020b5d

4144106333 has 2 divisors, whose sum is σ = 4144106334. Its totient is φ = 4144106332.

The previous prime is 4144106299. The next prime is 4144106339. The reversal of 4144106333 is 3336014414.

4144106333 is digitally balanced in base 2 and base 3, because in such bases 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., 2920645849 + 1223460484 = 54043^2 + 34978^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4144106333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4144106296 and 4144106305.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4144106339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2072053166 + 2072053167.

It is an arithmetic number, because the mean of its divisors is an integer number (2072053167).

Almost surely, 24144106333 is an apocalyptic number.

It is an amenable number.

4144106333 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144106333 is an equidigital number, since it uses as much as digits as its factorization.

4144106333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 4144106333 is about 64374.7336538179. The cubic root of 4144106333 is about 1606.2394818552.

The spelling of 4144106333 in words is "four billion, one hundred forty-four million, one hundred six thousand, three hundred thirty-three".