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444132021 = 31722811823
BaseRepresentation
bin11010011110001…
…110101010110101
31010221201020121010
4122132032222311
51402144211041
6112023142433
714002026354
oct3236165265
91127636533
10444132021
11208778a63
121048a4a19
1371023b18
1442db199b
1528ecea16
hex1a78eab5

444132021 has 24 divisors (see below), whose sum is σ = 631643904. Its totient is φ = 277527040.

The previous prime is 444131977. The next prime is 444132041. The reversal of 444132021 is 120231444.

It is not a de Polignac number, because 444132021 - 222 = 439937717 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444132041) 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 in 23 ways as a sum of consecutive naturals, for example, 242716 + ... + 244538.

It is an arithmetic number, because the mean of its divisors is an integer number (26318496).

Almost surely, 2444132021 is an apocalyptic number.

It is an amenable number.

444132021 is a deficient number, since it is larger than the sum of its proper divisors (187511883).

444132021 is a wasteful number, since it uses less digits than its factorization.

444132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 444132021 is about 21074.4399925597. The cubic root of 444132021 is about 762.9639686691.

Adding to 444132021 its reverse (120231444), we get a palindrome (564363465).

The spelling of 444132021 in words is "four hundred forty-four million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 17 51 281 289 843 867 1823 4777 5469 14331 30991 81209 92973 243627 512263 526847 1536789 1580541 8708471 26125413 148044007 444132021