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4144151729 is a prime number
BaseRepresentation
bin1111011100000010…
…1011110010110001
3101200210221201110002
43313000223302301
531441400323404
61523115315345
7204460465004
oct36700536261
911623851402
104144151729
1118372a1593
12977a4bb55
135107536b3
142b455953b
15193c4bc1e
hexf702bcb1

4144151729 has 2 divisors, whose sum is σ = 4144151730. Its totient is φ = 4144151728.

The previous prime is 4144151723. The next prime is 4144151741. The reversal of 4144151729 is 9271514414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4064317504 + 79834225 = 63752^2 + 8935^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144151729 - 212 = 4144147633 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4144151692 and 4144151701.

It is not a weakly prime, because it can be changed into another prime (4144151723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2072075864 + 2072075865.

It is an arithmetic number, because the mean of its divisors is an integer number (2072075865).

Almost surely, 24144151729 is an apocalyptic number.

It is an amenable number.

4144151729 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144151729 is an equidigital number, since it uses as much as digits as its factorization.

4144151729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 38.

The square root of 4144151729 is about 64375.0862446024. The cubic root of 4144151729 is about 1606.2453469380.

The spelling of 4144151729 in words is "four billion, one hundred forty-four million, one hundred fifty-one thousand, seven hundred twenty-nine".