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-boiled eggs, peeled or unpeeled, are still safe to eat up to one week after they were cooked. Keep them stored in the refrigerator, and you should consider writing the boiling date on each egg to know if they're still good! Kitchen Fact Source: Playing It Safe With Eggs from the Food and Drug Administration.