Search a number
-
+
144531262153 is a prime number
BaseRepresentation
bin1000011010011010111…
…1000000101011001001
3111211001122001211212101
42012212233000223021
54332000000342103
6150221410313401
713304422313065
oct2064657005311
9454048054771
10144531262153
11563281474a3
1224017288861
13108245930c5
146dd1354aa5
153b5d937a1d
hex21a6bc0ac9

144531262153 has 2 divisors, whose sum is σ = 144531262154. Its totient is φ = 144531262152.

The previous prime is 144531262147. The next prime is 144531262157. The reversal of 144531262153 is 351262135441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133815492864 + 10715769289 = 365808^2 + 103517^2 .

It is a cyclic number.

It is not a de Polignac number, because 144531262153 - 225 = 144497707721 is a prime.

It is not a weakly prime, because it can be changed into another prime (144531262157) 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, 72265631076 + 72265631077.

It is an arithmetic number, because the mean of its divisors is an integer number (72265631077).

Almost surely, 2144531262153 is an apocalyptic number.

It is an amenable number.

144531262153 is a deficient number, since it is larger than the sum of its proper divisors (1).

144531262153 is an equidigital number, since it uses as much as digits as its factorization.

144531262153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 86400, while the sum is 37.

Adding to 144531262153 its reverse (351262135441), we get a palindrome (495793397594).

The spelling of 144531262153 in words is "one hundred forty-four billion, five hundred thirty-one million, two hundred sixty-two thousand, one hundred fifty-three".