Search a number
-
+
144526561 is a prime number
BaseRepresentation
bin10001001110101…
…00110011100001
3101001221201011121
420213110303201
5243444322221
622201412241
73403312144
oct1047246341
9331851147
10144526561
1174643a43
124049a081
1323c3379a
14152a205b
15ca4ca41
hex89d4ce1

144526561 has 2 divisors, whose sum is σ = 144526562. Its totient is φ = 144526560.

The previous prime is 144526519. The next prime is 144526583. The reversal of 144526561 is 165625441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111175936 + 33350625 = 10544^2 + 5775^2 .

It is a cyclic number.

It is not a de Polignac number, because 144526561 - 29 = 144526049 is a prime.

It is not a weakly prime, because it can be changed into another prime (144526861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72263280 + 72263281.

It is an arithmetic number, because the mean of its divisors is an integer number (72263281).

Almost surely, 2144526561 is an apocalyptic number.

It is an amenable number.

144526561 is a deficient number, since it is larger than the sum of its proper divisors (1).

144526561 is an equidigital number, since it uses as much as digits as its factorization.

144526561 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 28800, while the sum is 34.

The square root of 144526561 is about 12021.9200213610. The cubic root of 144526561 is about 524.7863814215.

The spelling of 144526561 in words is "one hundred forty-four million, five hundred twenty-six thousand, five hundred sixty-one".