$^3$) throughout the interior follows the best-fit formula
$D(x) = 519x^4 - 1630 x^3 + 1844 x^2 - 889 x + 155,$
where $x=0$ represents the core, and $x = 1$ represents the surface.
Given that the physical radius of the sun is $6.90 \times 10^{10}$ centimeters, what is the total mass of the sun (**in kg**)?

This problem is part of Calvin's set Fun In Multiple Dimensions.

Hint: We are integrating along the radius. What is the corresponding area element?