The rate constant of a certain reaction is known to obey the Arrhenius equation, and to have an activation energy $E_a = 14.0$ kJ/mol. If the rate constant of this reaction is $2.3 \times 10^6 M^{-1}s^{-1}$ at $4.0$ $^\circ C$, what will the rate constant be at $63.0$ $^\circ C$?
Round your answer to 2 significant digits.