Search a number
-
+
144100111223017 is a prime number
BaseRepresentation
bin100000110000111011101011…
…111100010000100011101001
3200220012211120111212022002001
4200300323223330100203221
5122341414011433114032
61230250402140011001
742231614042455105
oct4060735374204351
9626184514768061
10144100111223017
1141a07572115464
12141b3697830a61
13625377508b7b1
1427826a8360905
15119d5943513e7
hex830eebf108e9

144100111223017 has 2 divisors, whose sum is σ = 144100111223018. Its totient is φ = 144100111223016.

The previous prime is 144100111222961. The next prime is 144100111223119. The reversal of 144100111223017 is 710322111001441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115484769075456 + 28615342147561 = 10746384^2 + 5349331^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144100111223017 is a prime.

It is not a weakly prime, because it can be changed into another prime (144100111223317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72050055611508 + 72050055611509.

It is an arithmetic number, because the mean of its divisors is an integer number (72050055611509).

Almost surely, 2144100111223017 is an apocalyptic number.

It is an amenable number.

144100111223017 is a deficient number, since it is larger than the sum of its proper divisors (1).

144100111223017 is an equidigital number, since it uses as much as digits as its factorization.

144100111223017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 144100111223017 its reverse (710322111001441), we get a palindrome (854422222224458).

The spelling of 144100111223017 in words is "one hundred forty-four trillion, one hundred billion, one hundred eleven million, two hundred twenty-three thousand, seventeen".