Imagine an arbitrary point in space. It is within the gravitational potential of *every* mass (although billions of ly away) in the entire universe. 

Since every mass adds a tiny fraction, what is the *total* gravitational potential energy in this point?

**Edit:**

Let point masses be located distance $r_i$ from the point and have masses $m_i$, then the 'potential' is

$$\Phi = - G \sum_{i} \frac{m_i}{r_i}.$$

I'm looking for this value averaged over all points in space.