1,614,720 Light years
That goes more in line with what we see in this picture and what we are told in Mass Effect: Retribution.
Actually, no. You're positing that the Reapers are situated at a distance equal to the entire diameter of the Milky Way times 16, and yet in the image you're using as evidence to support your hypothesis, the Milky Way is filling the screen. In order for the Milky Way to fill the screen like it does at a distance of 1.6 million light years, it has to be significantly larger than 100,000 light years in diameter.
So, how do we prove who is right?
Well, there is a space simulator called Space Engine which procedurally renders the entire universe in 1:1 scale. It's very useful to get a sense of just how retardedly large the universe is. I fired it up and targeted the Milky Way at a distance of 1.614 million light years (MLY), the same as in your calculations.

Let's compare that to your image:

Yeah, I think you've made a mistake somewhere.





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