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444455050321 = 4110999452909
BaseRepresentation
bin1100111011110111001…
…01011101110001010001
31120111012211120220122001
412131323211131301101
524240220443102241
6540102502114001
744053003410502
oct6357345356121
91514184526561
10444455050321
1116154631a707
127217b11b901
1332bb1689949
14177242d8ba9
15b864590431
hex677b95dc51

444455050321 has 8 divisors (see below), whose sum is σ = 459472444200. Its totient is φ = 429636562560.

The previous prime is 444455050267. The next prime is 444455050337. The reversal of 444455050321 is 123050554444.

It can be written as a sum of positive squares in 4 ways, for example, as 43372227600 + 401082822721 = 208260^2 + 633311^2 .

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

It is not a de Polignac number, because 444455050321 - 211 = 444455048273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444455050381) 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, 49721986 + ... + 49730923.

It is an arithmetic number, because the mean of its divisors is an integer number (57434055525).

Almost surely, 2444455050321 is an apocalyptic number.

444455050321 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

444455050321 is a deficient number, since it is larger than the sum of its proper divisors (15017393879).

444455050321 is a wasteful number, since it uses less digits than its factorization.

444455050321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99453059.

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 444455050321 in words is "four hundred forty-four billion, four hundred fifty-five million, fifty thousand, three hundred twenty-one".

Divisors: 1 41 109 4469 99452909 4077569269 10840367081 444455050321