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414144229 is a prime number
BaseRepresentation
bin11000101011110…
…101011011100101
31001212021201002011
4120223311123211
51322010103404
6105032314221
713156111402
oct3053653345
91055251064
10414144229
111a2856764
12b6842971
1367a54575
143d0072a9
1526559604
hex18af56e5

414144229 has 2 divisors, whose sum is σ = 414144230. Its totient is φ = 414144228.

The previous prime is 414144169. The next prime is 414144251. The reversal of 414144229 is 922441414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 275493604 + 138650625 = 16598^2 + 11775^2 .

It is a cyclic number.

It is not a de Polignac number, because 414144229 - 215 = 414111461 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414144229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414144329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207072114 + 207072115.

It is an arithmetic number, because the mean of its divisors is an integer number (207072115).

Almost surely, 2414144229 is an apocalyptic number.

It is an amenable number.

414144229 is a deficient number, since it is larger than the sum of its proper divisors (1).

414144229 is an equidigital number, since it uses as much as digits as its factorization.

414144229 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9216, while the sum is 31.

The square root of 414144229 is about 20350.5338750609. The cubic root of 414144229 is about 745.3905307995.

The spelling of 414144229 in words is "four hundred fourteen million, one hundred forty-four thousand, two hundred twenty-nine".