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414193817 is a prime number
BaseRepresentation
bin11000101100000…
…001100010011001
31001212101020002202
4120230001202121
51322013200232
6105033335545
713156406102
oct3054014231
91055336082
10414193817
111a288aa44
12b68675b5
1367a70ccb
143d01b3a9
1526569162
hex18b01899

414193817 has 2 divisors, whose sum is σ = 414193818. Its totient is φ = 414193816.

The previous prime is 414193777. The next prime is 414193861. The reversal of 414193817 is 718391414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300536896 + 113656921 = 17336^2 + 10661^2 .

It is a cyclic number.

It is not a de Polignac number, because 414193817 - 26 = 414193753 is a prime.

It is not a weakly prime, because it can be changed into another prime (414190817) 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, 207096908 + 207096909.

It is an arithmetic number, because the mean of its divisors is an integer number (207096909).

Almost surely, 2414193817 is an apocalyptic number.

It is an amenable number.

414193817 is a deficient number, since it is larger than the sum of its proper divisors (1).

414193817 is an equidigital number, since it uses as much as digits as its factorization.

414193817 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24192, while the sum is 38.

The square root of 414193817 is about 20351.7521850085. The cubic root of 414193817 is about 745.4202796550.

The spelling of 414193817 in words is "four hundred fourteen million, one hundred ninety-three thousand, eight hundred seventeen".