Search a number
-
+
144100313203241 is a prime number
BaseRepresentation
bin100000110000111011110111…
…111110110000001000101001
3200220012212002120220221212002
4200300323313332300020221
5122341414420140000431
61230250434153100345
742231622044330533
oct4060736776601051
9626185076827762
10144100313203241
1141a0766613016a
12141b37333b76b5
1362537a7b8a215
1427826c70da853
15119d5a6e4c3cb
hex830ef7fb0229

144100313203241 has 2 divisors, whose sum is σ = 144100313203242. Its totient is φ = 144100313203240.

The previous prime is 144100313203151. The next prime is 144100313203271. The reversal of 144100313203241 is 142302313001441.

144100313203241 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., 87692642869225 + 56407670334016 = 9364435^2 + 7510504^2 .

It is a cyclic number.

It is not a de Polignac number, because 144100313203241 - 238 = 143825435296297 is a prime.

It is not a weakly prime, because it can be changed into another prime (144100313203271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72050156601620 + 72050156601621.

It is an arithmetic number, because the mean of its divisors is an integer number (72050156601621).

Almost surely, 2144100313203241 is an apocalyptic number.

It is an amenable number.

144100313203241 is a deficient number, since it is larger than the sum of its proper divisors (1).

144100313203241 is an equidigital number, since it uses as much as digits as its factorization.

144100313203241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 144100313203241 its reverse (142302313001441), we get a palindrome (286402626204682).

The spelling of 144100313203241 in words is "one hundred forty-four trillion, one hundred billion, three hundred thirteen million, two hundred three thousand, two hundred forty-one".