Search a number
-
+
814755901 is a prime number
BaseRepresentation
bin110000100100000…
…011000000111101
32002210002212222111
4300210003000331
53132034142101
6212503014021
726122211431
oct6044030075
92083085874
10814755901
113889aa193
121a8a3a311
13cca4b3ab
147a2ca9c1
154b7de251
hex3090303d

814755901 has 2 divisors, whose sum is σ = 814755902. Its totient is φ = 814755900.

The previous prime is 814755829. The next prime is 814755913. The reversal of 814755901 is 109557418.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 446307876 + 368448025 = 21126^2 + 19195^2 .

It is a cyclic number.

It is not a de Polignac number, because 814755901 - 225 = 781201469 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (814755961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407377950 + 407377951.

It is an arithmetic number, because the mean of its divisors is an integer number (407377951).

Almost surely, 2814755901 is an apocalyptic number.

It is an amenable number.

814755901 is a deficient number, since it is larger than the sum of its proper divisors (1).

814755901 is an equidigital number, since it uses as much as digits as its factorization.

814755901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 40.

The square root of 814755901 is about 28543.9293195594. The cubic root of 814755901 is about 933.9905989269.

The spelling of 814755901 in words is "eight hundred fourteen million, seven hundred fifty-five thousand, nine hundred one".