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414118193 is a prime number
BaseRepresentation
bin11000101011101…
…111000100110001
31001212020101100212
4120223233010301
51322003240233
6105031553505
713155642446
oct3053570461
91055211325
10414118193
111a2839145
12b682b895
1367a45768
143cddb9cd
1526551a48
hex18aef131

414118193 has 2 divisors, whose sum is σ = 414118194. Its totient is φ = 414118192.

The previous prime is 414118189. The next prime is 414118207. The reversal of 414118193 is 391811414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 375080689 + 39037504 = 19367^2 + 6248^2 .

It is a cyclic number.

It is not a de Polignac number, because 414118193 - 22 = 414118189 is a prime.

It is not a weakly prime, because it can be changed into another prime (414118153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207059096 + 207059097.

It is an arithmetic number, because the mean of its divisors is an integer number (207059097).

Almost surely, 2414118193 is an apocalyptic number.

It is an amenable number.

414118193 is a deficient number, since it is larger than the sum of its proper divisors (1).

414118193 is an equidigital number, since it uses as much as digits as its factorization.

414118193 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3456, while the sum is 32.

The square root of 414118193 is about 20349.8941766290. The cubic root of 414118193 is about 745.3749103198.

The spelling of 414118193 in words is "four hundred fourteen million, one hundred eighteen thousand, one hundred ninety-three".