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434424242009 = 17122920792813
BaseRepresentation
bin1100101001001011011…
…00111101111101011001
31112112022202212001110002
412110211230331331121
524104200101221014
6531323255102345
743246303062422
oct6244554757531
91475282761402
10434424242009
1115826918298a
127023b9719b5
1331c734a3604
1417052036649
15b478b48dde
hex6525b3df59

434424242009 has 8 divisors (see below), whose sum is σ = 460352901960. Its totient is φ = 408537170176.

The previous prime is 434424242003. The next prime is 434424242011. The reversal of 434424242009 is 900242424434.

It can be written as a sum of positive squares in 4 ways, for example, as 239703264025 + 194720977984 = 489595^2 + 441272^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 434424242009 - 220 = 434423193433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434424242003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10375514 + ... + 10417299.

It is an arithmetic number, because the mean of its divisors is an integer number (57544112745).

Almost surely, 2434424242009 is an apocalyptic number.

It is an amenable number.

434424242009 is a deficient number, since it is larger than the sum of its proper divisors (25928659951).

434424242009 is a wasteful number, since it uses less digits than its factorization.

434424242009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20794059.

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 434424242009 in words is "four hundred thirty-four billion, four hundred twenty-four million, two hundred forty-two thousand, nine".

Divisors: 1 17 1229 20893 20792813 353477821 25554367177 434424242009