Search a number
-
+
144040020010013 is a prime number
BaseRepresentation
bin100000110000000011101110…
…001110011110010000011101
3200220000002110122122101121102
4200300003232032132100131
5122334422430110310023
61230203023252442445
742224355654543221
oct4060035616362035
9626002418571542
10144040020010013
11419940361a8756
12141a3b07319425
13624abb977651a
14277d807726781
15119bc28ad2628
hex8300ee39e41d

144040020010013 has 2 divisors, whose sum is σ = 144040020010014. Its totient is φ = 144040020010012.

The previous prime is 144040020009979. The next prime is 144040020010043. The reversal of 144040020010013 is 310010020040441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138209813775289 + 5830206234724 = 11756267^2 + 2414582^2 .

It is a cyclic number.

It is not a de Polignac number, because 144040020010013 - 226 = 144039952901149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144040020010043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72020010005006 + 72020010005007.

It is an arithmetic number, because the mean of its divisors is an integer number (72020010005007).

Almost surely, 2144040020010013 is an apocalyptic number.

It is an amenable number.

144040020010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

144040020010013 is an equidigital number, since it uses as much as digits as its factorization.

144040020010013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144040020010013 its reverse (310010020040441), we get a palindrome (454050040050454).

The spelling of 144040020010013 in words is "one hundred forty-four trillion, forty billion, twenty million, ten thousand, thirteen".