How much energy would be required to launch a 10km x 10km x 10km cube into LEO?

I know this is a bit of a ridiculous scenario, I am just looking for a very conservative estimate as to how much force would be required to get something orders of magnitude bigger and more awkard than a normal payload into orbit.

Basic Assumptions:

• Per the title, the object is a 10km x 10km x 10km cube
• Density of the cube is 3 g/cm^3.
• Starting position is such that the top of the cube is at sea level. Just assume there is a pit big enough to accommodate this without hitting the sides.
• Orientation is flat side up rather than a corner (terrible aerodynamic profile).
• Located on the 35th parallel north.
• This might be better suited to Worldbuilding since it is completely hypothetical. Apr 11 at 18:38
• Is that 3 billion tons into orbit? So only thing that dimensiion is gonna do is to add aerodynamic losses. Else point mass can be considered. Or how about, energy required to put 3 ton satellite into orbit multiplied by 1 billion times as an estimate? Apr 11 at 20:07
• @code-gal You probably mean 'energy' rather than 'force'. The force required would be equal to its weight. Apr 12 at 5:05
• One way to look at it is that with anything resembling current tech, it would take longer than the Earth has left before it gets swallowed up by the sun. Apr 12 at 22:39
• The other question is where are you going to get a 10km cube (and hold it up against Earth gravity let alone stresses of flight). Apr 13 at 5:29

You are proposing to put $$(10~\mathrm{km})^3 \times 3~\mathrm{g/cm^3} = 3 \times 10^{15}~\mathrm{kg}$$ or 3 trillion metric tons in orbit.