Search a number
-
+
4331242242289 is a prime number
BaseRepresentation
bin111111000001110010001…
…001111100000011110001
3120100001200201102002010001
4333001302021330003301
51031430341003223124
613113424544510001
7624631135420114
oct77016211740361
916301621362101
104331242242289
11141a96236aa16
1259b51031b301
13255585483c31
1410d8c189457b
15779eb374b44
hex3f07227c0f1

4331242242289 has 2 divisors, whose sum is σ = 4331242242290. Its totient is φ = 4331242242288.

The previous prime is 4331242242287. The next prime is 4331242242307. The reversal of 4331242242289 is 9822422421334.

4331242242289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2595127683600 + 1736114558689 = 1610940^2 + 1317617^2 .

It is a cyclic number.

It is not a de Polignac number, because 4331242242289 - 21 = 4331242242287 is a prime.

It is a super-2 number, since 2×43312422422892 (a number of 26 digits) contains 22 as substring.

Together with 4331242242287, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4331242242281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2165621121144 + 2165621121145.

It is an arithmetic number, because the mean of its divisors is an integer number (2165621121145).

Almost surely, 24331242242289 is an apocalyptic number.

It is an amenable number.

4331242242289 is a deficient number, since it is larger than the sum of its proper divisors (1).

4331242242289 is an equidigital number, since it uses as much as digits as its factorization.

4331242242289 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1327104, while the sum is 46.

The spelling of 4331242242289 in words is "four trillion, three hundred thirty-one billion, two hundred forty-two million, two hundred forty-two thousand, two hundred eighty-nine".