However, when this effect has been corrected for, by dividing the heat capacity by the quantity of substance in a body, the resulting specific heat capacity is a function of the structure of the substance itself.
I would never store eggs in this manner, because the texture and flavour degradation will make them unpleasant to eat. However, to actually answer your question--and again, I urge you not to do this because stored and reheated eggs will taste like garbage--cooked eggs should keep for up to 72 hours in the refrigerator.
Hard-cooked eggs in the shell last up to one week when properly  refrigerated.     Egg Yolks   Unbroken raw yolks covered in water in a tightly sealed  container can be refrigerated up to two days.