de·nu·mer·a·ble 
(dĭ-nmər-ə-bəl, -ny-)
(dĭ-nmər-ə-bəl, -ny-)adj.
Capable of being put into one-to-one correspondence with the positive integers; countable.
[From denumerate, to count, from Late Latin dēnumerāre, dēnumerāt-, alteration of Latin dīnumerāre : dī-, dis-, dis- + numerāre, to number; see NUMERATE.]
de·nu′mer·a·bili·ty n.
de·numer·a·bly adv.