Search a number
-
+
409316881 is a prime number
BaseRepresentation
bin11000011001011…
…010111000010001
31001112012110012111
4120121122320101
51314241120011
6104341025321
713100064451
oct3031327021
91045173174
10409316881
111a0059916
12b50b5241
1366a5424c
143c50bd61
1525e04121
hex1865ae11

409316881 has 2 divisors, whose sum is σ = 409316882. Its totient is φ = 409316880.

The previous prime is 409316879. The next prime is 409316927. The reversal of 409316881 is 188613904.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 409050625 + 266256 = 20225^2 + 516^2 .

It is a cyclic number.

It is not a de Polignac number, because 409316881 - 21 = 409316879 is a prime.

It is a super-2 number, since 2×4093168812 = 335080618143136322, which contains 22 as substring.

Together with 409316879, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (409316801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204658440 + 204658441.

It is an arithmetic number, because the mean of its divisors is an integer number (204658441).

Almost surely, 2409316881 is an apocalyptic number.

It is an amenable number.

409316881 is a deficient number, since it is larger than the sum of its proper divisors (1).

409316881 is an equidigital number, since it uses as much as digits as its factorization.

409316881 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 409316881 is about 20231.5812777944. The cubic root of 409316881 is about 742.4830643048.

The spelling of 409316881 in words is "four hundred nine million, three hundred sixteen thousand, eight hundred eighty-one".