Search a number
-
+
144241142424013 is a prime number
BaseRepresentation
bin100000110010111111000010…
…000011100110000111001101
3200220201022121012221121122201
4200302333002003212013031
5122401221324430032023
61230435244400041501
742245035655055235
oct4062770203460715
9626638535847581
10144241142424013
1141a613635a3128
1214216a96903291
136263b5c49349b
1427894468dccc5
1511a209a868bad
hex832fc20e61cd

144241142424013 has 2 divisors, whose sum is σ = 144241142424014. Its totient is φ = 144241142424012.

The previous prime is 144241142424007. The next prime is 144241142424053. The reversal of 144241142424013 is 310424241142441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81292818160009 + 62948324264004 = 9016253^2 + 7933998^2 .

It is an emirp because it is prime and its reverse (310424241142441) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 144241142424013 - 25 = 144241142423981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144241142424053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72120571212006 + 72120571212007.

It is an arithmetic number, because the mean of its divisors is an integer number (72120571212007).

Almost surely, 2144241142424013 is an apocalyptic number.

It is an amenable number.

144241142424013 is a deficient number, since it is larger than the sum of its proper divisors (1).

144241142424013 is an equidigital number, since it uses as much as digits as its factorization.

144241142424013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98304, while the sum is 37.

Adding to 144241142424013 its reverse (310424241142441), we get a palindrome (454665383566454).

The spelling of 144241142424013 in words is "one hundred forty-four trillion, two hundred forty-one billion, one hundred forty-two million, four hundred twenty-four thousand, thirteen".