Comparing Binding Energy: Electron vs. Neutron

[Cudi1]

Homework Statement

The energy that binds an orbiting electron to the hydrogen nucleus is 13.4 eV. Calculate the ratio of the binding energy per nucleon to the binding per electron in deuterium. Which particle is held more tightly, the electron or the neutron?

Homework Equations

using ratios

The Attempt at a Solution

basically I am having trouble converting from electron volts to the correct units, i know i have to use ratios but what would eV be converted to ?

 

[Cudi1]

the answer i get for deutrieum is (MeV/c^2)/ nucleon how would i convert this to the eV in order to get the correct ratios ( only thing confusing me is the square of the speed of light)

 

[Cudi1]

any help, would i just use the conversion 1eV= 10^-6 MeV , multiply by 10^-6 * 13.4 and use ratios??