Search a number
-
+
414115369 is a prime number
BaseRepresentation
bin11000101011101…
…110011000101001
31001212020020111021
4120223232120221
51322003142434
6105031532441
713155631303
oct3053563051
91055206437
10414115369
111a2837008
12b682a121
1367a443a5
143cdda973
1526550cb4
hex18aee629

414115369 has 2 divisors, whose sum is σ = 414115370. Its totient is φ = 414115368.

The previous prime is 414115367. The next prime is 414115399. The reversal of 414115369 is 963511414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224640144 + 189475225 = 14988^2 + 13765^2 .

It is a cyclic number.

It is not a de Polignac number, because 414115369 - 21 = 414115367 is a prime.

It is a super-2 number, since 2×4141153692 = 342983077684012322, which contains 22 as substring.

Together with 414115367, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (414115367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207057684 + 207057685.

It is an arithmetic number, because the mean of its divisors is an integer number (207057685).

Almost surely, 2414115369 is an apocalyptic number.

It is an amenable number.

414115369 is a deficient number, since it is larger than the sum of its proper divisors (1).

414115369 is an equidigital number, since it uses as much as digits as its factorization.

414115369 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 34.

The square root of 414115369 is about 20349.8247904005. The cubic root of 414115369 is about 745.3732160020.

The spelling of 414115369 in words is "four hundred fourteen million, one hundred fifteen thousand, three hundred sixty-nine".