Search a number
-
+
814427981 is a prime number
BaseRepresentation
bin110000100010110…
…010111101001101
32002202111020011022
4300202302331031
53131443143411
6212452003525
726116344413
oct6042627515
92082436138
10814427981
113887a5884
121a89005a5
13cc965063
147a2432b3
154b776edb
hex308b2f4d

814427981 has 2 divisors, whose sum is σ = 814427982. Its totient is φ = 814427980.

The previous prime is 814427903. The next prime is 814427987. The reversal of 814427981 is 189724418.

814427981 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., 792422500 + 22005481 = 28150^2 + 4691^2 .

It is a cyclic number.

It is not a de Polignac number, because 814427981 - 210 = 814426957 is a prime.

It is a super-2 number, since 2×8144279812 = 1326585872471472722, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814427987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407213990 + 407213991.

It is an arithmetic number, because the mean of its divisors is an integer number (407213991).

Almost surely, 2814427981 is an apocalyptic number.

It is an amenable number.

814427981 is a deficient number, since it is larger than the sum of its proper divisors (1).

814427981 is an equidigital number, since it uses as much as digits as its factorization.

814427981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129024, while the sum is 44.

The square root of 814427981 is about 28538.1846129007. The cubic root of 814427981 is about 933.8652790630.

The spelling of 814427981 in words is "eight hundred fourteen million, four hundred twenty-seven thousand, nine hundred eighty-one".