Search a number
-
+
3814055327689 is a prime number
BaseRepresentation
bin110111100000000111011…
…010011011011111001001
3111111121202001222122022221
4313200013122123133021
5444442141130441224
612040053002214041
7542361563241625
oct67400732333711
914447661878287
103814055327689
111240593889172
125172334b4321
132188826ba809
14d285bc18185
156932b9476e4
hex3780769b7c9

3814055327689 has 2 divisors, whose sum is σ = 3814055327690. Its totient is φ = 3814055327688.

The previous prime is 3814055327681. The next prime is 3814055327711. The reversal of 3814055327689 is 9867235504183.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3238588953664 + 575466374025 = 1799608^2 + 758595^2 .

It is a cyclic number.

It is not a de Polignac number, because 3814055327689 - 23 = 3814055327681 is a prime.

It is not a weakly prime, because it can be changed into another prime (3814055327681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1907027663844 + 1907027663845.

It is an arithmetic number, because the mean of its divisors is an integer number (1907027663845).

It is a 1-persistent number, because it is pandigital, but 2⋅3814055327689 = 7628110655378 is not.

Almost surely, 23814055327689 is an apocalyptic number.

It is an amenable number.

3814055327689 is a deficient number, since it is larger than the sum of its proper divisors (1).

3814055327689 is an equidigital number, since it uses as much as digits as its factorization.

3814055327689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 3814055327689 in words is "three trillion, eight hundred fourteen billion, fifty-five million, three hundred twenty-seven thousand, six hundred eighty-nine".