Search a number
-
+
4144151741 is a prime number
BaseRepresentation
bin1111011100000010…
…1011110010111101
3101200210221201110112
43313000223302331
531441400323431
61523115315405
7204460465022
oct36700536275
911623851415
104144151741
1118372a15a4
12977a4bb65
135107536c2
142b4559549
15193c4bc2b
hexf702bcbd

4144151741 has 2 divisors, whose sum is σ = 4144151742. Its totient is φ = 4144151740.

The previous prime is 4144151729. The next prime is 4144151773. The reversal of 4144151741 is 1471514414.

It is an a-pointer prime, because the next prime (4144151773) can be obtained adding 4144151741 to its sum of digits (32).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3373867225 + 770284516 = 58085^2 + 27754^2 .

It is a cyclic number.

It is not a de Polignac number, because 4144151741 - 214 = 4144135357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4144151698 and 4144151707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4144151701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2072075870 + 2072075871.

It is an arithmetic number, because the mean of its divisors is an integer number (2072075871).

It is a self-describing number.

Almost surely, 24144151741 is an apocalyptic number.

It is an amenable number.

4144151741 is a deficient number, since it is larger than the sum of its proper divisors (1).

4144151741 is an equidigital number, since it uses as much as digits as its factorization.

4144151741 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8960, while the sum is 32.

The square root of 4144151741 is about 64375.0863378062. The cubic root of 4144151741 is about 1606.2453484884.

The spelling of 4144151741 in words is "four billion, one hundred forty-four million, one hundred fifty-one thousand, seven hundred forty-one".