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The Sun is about 332,946 times more massive than the Earth. It is about

1,300,000 times the volume of Earth.

As for the Sun and the Milky Way - The Milky way is composed of roughly 100 billion stars, so one can say that because the Sun is an average star, the Milky Way is, very roughly, 100 billion times more massive than the Sun.

Another viewpoint: The latest best estimates have the Milky Way Galaxy containing about 500 billion stars.

Using that number and a more accurate way of estimating the total mass of the stars gives: Total mass of our Galaxy is about 1.9 thousand billion times the

mass of the Sun.

Notice that's an estimate of the total mass of the Galaxy, including dust and gas.

Then again there's "dark matter" of course, but let's keep it simple.

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