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450142321 = 29411672267
BaseRepresentation
bin11010110101001…
…010000001110001
31011101000121011211
4122311022001301
51410214023241
6112400040121
714104101166
oct3265120161
91141017154
10450142321
11211103652
12106903041
1372349705
1443ad806d
15297ba781
hex1ad4a071

450142321 has 16 divisors (see below), whose sum is σ = 480090240. Its totient is φ = 421294720.

The previous prime is 450142313. The next prime is 450142327. The reversal of 450142321 is 123241054.

It is a cyclic number.

It is not a de Polignac number, because 450142321 - 23 = 450142313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 450142292 and 450142301.

It is not an unprimeable number, because it can be changed into a prime (450142327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197430 + ... + 199696.

It is an arithmetic number, because the mean of its divisors is an integer number (30005640).

Almost surely, 2450142321 is an apocalyptic number.

450142321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

450142321 is a deficient number, since it is larger than the sum of its proper divisors (29947919).

450142321 is a wasteful number, since it uses less digits than its factorization.

450142321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504.

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 450142321 is about 21216.5577085445. The cubic root of 450142321 is about 766.3902104892.

Adding to 450142321 its reverse (123241054), we get a palindrome (573383375).

The spelling of 450142321 in words is "four hundred fifty million, one hundred forty-two thousand, three hundred twenty-one".

Divisors: 1 29 41 167 1189 2267 4843 6847 65743 92947 198563 378589 2695463 10979081 15522149 450142321