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444741219 = 331311311213
BaseRepresentation
bin11010100000100…
…011011001100011
31010222212012021000
4122200203121203
51402323204334
6112044203043
714010144426
oct3240433143
91128765230
10444741219
1120905472a
12104b39483
13711a81b0
14430cd9bd
15290a0299
hex1a823663

444741219 has 32 divisors (see below), whose sum is σ = 715901760. Its totient is φ = 271240704.

The previous prime is 444741191. The next prime is 444741247. The reversal of 444741219 is 912147444.

It is an interprime number because it is at equal distance from previous prime (444741191) and next prime (444741247).

It is not a de Polignac number, because 444741219 - 28 = 444740963 is a prime.

It is a super-2 number, since 2×4447412192 = 395589503755211922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (444741299) 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 31 ways as a sum of consecutive naturals, for example, 34057 + ... + 45269.

It is an arithmetic number, because the mean of its divisors is an integer number (22371930).

Almost surely, 2444741219 is an apocalyptic number.

444741219 is a deficient number, since it is larger than the sum of its proper divisors (271160541).

444741219 is a wasteful number, since it uses less digits than its factorization.

444741219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11348 (or 11342 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 444741219 is about 21088.8885197869. Note that the first 3 decimals coincide. The cubic root of 444741219 is about 763.3126516054.

The spelling of 444741219 in words is "four hundred forty-four million, seven hundred forty-one thousand, two hundred nineteen".

Divisors: 1 3 9 13 27 39 113 117 339 351 1017 1469 3051 4407 11213 13221 33639 39663 100917 145769 302751 437307 1267069 1311921 3801207 3935763 11403621 16471897 34210863 49415691 148247073 444741219