Search a number
-
+
144250113212329 is a prime number
BaseRepresentation
bin100000110011000111011000…
…110000011011111110101001
3200220202011202102001212202211
4200303013120300123332221
5122401343212440243304
61230443330455125121
742245504164363105
oct4063073060337651
9626664672055684
10144250113212329
1141a65147352173
121421877b0737a1
13626495bb86557
142789a580ac905
1511a24231c5204
hex8331d8c1bfa9

144250113212329 has 2 divisors, whose sum is σ = 144250113212330. Its totient is φ = 144250113212328.

The previous prime is 144250113212279. The next prime is 144250113212341. The reversal of 144250113212329 is 923212311052441.

It is a happy number.

144250113212329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 135602484943104 + 8647628269225 = 11644848^2 + 2940685^2 .

It is a cyclic number.

It is not a de Polignac number, because 144250113212329 - 225 = 144250079657897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144250113212291 and 144250113212300.

It is not a weakly prime, because it can be changed into another prime (144250113216329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72125056606164 + 72125056606165.

It is an arithmetic number, because the mean of its divisors is an integer number (72125056606165).

Almost surely, 2144250113212329 is an apocalyptic number.

It is an amenable number.

144250113212329 is a deficient number, since it is larger than the sum of its proper divisors (1).

144250113212329 is an equidigital number, since it uses as much as digits as its factorization.

144250113212329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 144250113212329 in words is "one hundred forty-four trillion, two hundred fifty billion, one hundred thirteen million, two hundred twelve thousand, three hundred twenty-nine".