Search a number
-
+
144124041121 is a prime number
BaseRepresentation
bin1000011000111001110…
…1100101011110100001
3111210000020210212121221
42012032131211132201
54330131223303441
6150113142215041
713261346064544
oct2061635453641
9453006725557
10144124041121
115613929a295
1223b22a24481
131078b0c3b08
146d9323085b
153b37ce98d1
hex218e7657a1

144124041121 has 2 divisors, whose sum is σ = 144124041122. Its totient is φ = 144124041120.

The previous prime is 144124041071. The next prime is 144124041133. The reversal of 144124041121 is 121140421441.

144124041121 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., 130740096400 + 13383944721 = 361580^2 + 115689^2 .

It is a cyclic number.

It is not a de Polignac number, because 144124041121 - 225 = 144090486689 is a prime.

It is not a weakly prime, because it can be changed into another prime (144124041421) 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, 72062020560 + 72062020561.

It is an arithmetic number, because the mean of its divisors is an integer number (72062020561).

Almost surely, 2144124041121 is an apocalyptic number.

It is an amenable number.

144124041121 is a deficient number, since it is larger than the sum of its proper divisors (1).

144124041121 is an equidigital number, since it uses as much as digits as its factorization.

144124041121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 144124041121 its reverse (121140421441), we get a palindrome (265264462562).

The spelling of 144124041121 in words is "one hundred forty-four billion, one hundred twenty-four million, forty-one thousand, one hundred twenty-one".