A new kind of unified nuclear binding energy formula and its consequences

Starting from Z=3 to 120, energy coefficient being 10.1 MeV - nuclear binding energy increases with increasing mass number, decreases with increasing number of free or unbound nucleons, decreases with increasing radius and decreases with increasing asymmetry about the mean stable mass number. Proceeding further, by considering the number of free or unbound nucleons, an attempt is made to understand the mass limits of nuclear stability zone. With further study, stable zones of relatively long living super heavy elements can be identified.