Search a number
-
+
144313513 is a prime number
BaseRepresentation
bin10001001101000…
…00110010101001
3101001112212220221
420212200302221
5243421013023
622153050041
73401434051
oct1046406251
9331485827
10144313513
1174508973
12403b6921
1323b8a816
1415248561
15ca0985d
hex89a0ca9

144313513 has 2 divisors, whose sum is σ = 144313514. Its totient is φ = 144313512.

The previous prime is 144313489. The next prime is 144313537. The reversal of 144313513 is 315313441.

It is a balanced prime because it is at equal distance from previous prime (144313489) and next prime (144313537).

It can be written as a sum of positive squares in only one way, i.e., 142277184 + 2036329 = 11928^2 + 1427^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144313513 is a prime.

It is not a weakly prime, because it can be changed into another prime (144313573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72156756 + 72156757.

It is an arithmetic number, because the mean of its divisors is an integer number (72156757).

Almost surely, 2144313513 is an apocalyptic number.

It is an amenable number.

144313513 is a deficient number, since it is larger than the sum of its proper divisors (1).

144313513 is an equidigital number, since it uses as much as digits as its factorization.

144313513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 25.

The square root of 144313513 is about 12013.0559392687. The cubic root of 144313513 is about 524.5283903858.

Adding to 144313513 its reverse (315313441), we get a palindrome (459626954).

The spelling of 144313513 in words is "one hundred forty-four million, three hundred thirteen thousand, five hundred thirteen".