Search a number
-
+
144240100000057 is a prime number
BaseRepresentation
bin100000110010111110000011…
…111011000100000100111001
3200220201012220120102222211001
4200302332003323010010321
5122401212211100000212
61230434553121205001
742245001066442315
oct4062760373040471
9626635816388731
10144240100000057
1141a60979133626
1214216845790761
136263a24521389
1427893882aab45
1511a20390a7657
hex832f83ec4139

144240100000057 has 2 divisors, whose sum is σ = 144240100000058. Its totient is φ = 144240100000056.

The previous prime is 144240100000037. The next prime is 144240100000109. The reversal of 144240100000057 is 750000001042441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97725463013161 + 46514636986896 = 9885619^2 + 6820164^2 .

It is a cyclic number.

It is not a de Polignac number, because 144240100000057 - 231 = 144237952516409 is a prime.

It is a super-3 number, since 3×1442401000000573 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144240099999980 and 144240100000034.

It is not a weakly prime, because it can be changed into another prime (144240100000027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72120050000028 + 72120050000029.

It is an arithmetic number, because the mean of its divisors is an integer number (72120050000029).

Almost surely, 2144240100000057 is an apocalyptic number.

It is an amenable number.

144240100000057 is a deficient number, since it is larger than the sum of its proper divisors (1).

144240100000057 is an equidigital number, since it uses as much as digits as its factorization.

144240100000057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4480, while the sum is 28.

Adding to 144240100000057 its reverse (750000001042441), we get a palindrome (894240101042498).

The spelling of 144240100000057 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred million, fifty-seven", and thus it is an aban number.