Search a number
-
+
481214309 is a prime number
BaseRepresentation
bin11100101011101…
…011111101100101
31020112111012221012
4130223223331211
51441142324214
6115430032005
714632153112
oct3453537545
91215435835
10481214309
112276a6484
121151a8605
13789085c4
1447ca5909
152c3a703e
hex1caebf65

481214309 has 2 divisors, whose sum is σ = 481214310. Its totient is φ = 481214308.

The previous prime is 481214269. The next prime is 481214339. The reversal of 481214309 is 903412184.

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., 345142084 + 136072225 = 18578^2 + 11665^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-481214309 is a prime.

It is a super-2 number, since 2×4812143092 = 463134422372694962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (481214339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 240607154 + 240607155.

It is an arithmetic number, because the mean of its divisors is an integer number (240607155).

Almost surely, 2481214309 is an apocalyptic number.

It is an amenable number.

481214309 is a deficient number, since it is larger than the sum of its proper divisors (1).

481214309 is an equidigital number, since it uses as much as digits as its factorization.

481214309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 481214309 is about 21936.5974800104. The cubic root of 481214309 is about 783.6332304349.

The spelling of 481214309 in words is "four hundred eighty-one million, two hundred fourteen thousand, three hundred nine".