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414381529 is a prime number
BaseRepresentation
bin11000101100101…
…111010111011001
31001212201202121001
4120230233113121
51322040202104
6105041345001
713161120262
oct3054572731
91055652531
10414381529
111a29a8a81
12b6938161
1367b08593
143d069969
15265a4aa4
hex18b2f5d9

414381529 has 2 divisors, whose sum is σ = 414381530. Its totient is φ = 414381528.

The previous prime is 414381521. The next prime is 414381553. The reversal of 414381529 is 925183414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 332515225 + 81866304 = 18235^2 + 9048^2 .

It is a cyclic number.

It is not a de Polignac number, because 414381529 - 23 = 414381521 is a prime.

It is not a weakly prime, because it can be changed into another prime (414381521) 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, 207190764 + 207190765.

It is an arithmetic number, because the mean of its divisors is an integer number (207190765).

Almost surely, 2414381529 is an apocalyptic number.

It is an amenable number.

414381529 is a deficient number, since it is larger than the sum of its proper divisors (1).

414381529 is an equidigital number, since it uses as much as digits as its factorization.

414381529 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34560, while the sum is 37.

The square root of 414381529 is about 20356.3633539982. The cubic root of 414381529 is about 745.5328704223.

The spelling of 414381529 in words is "four hundred fourteen million, three hundred eighty-one thousand, five hundred twenty-nine".