+9665 22014 is so big that our calculator on this page can't calculate. And it's good to know that the unit digit of this number is 4.
\(2014\pmod4 \equiv 2\\ \therefore \text{Unit digit of }2^{2014} = \text{Unit digit of }2^2 = 4\)
2^2014=
1881097 3311373386 1250307391 6809514162 6221653231 0211821646 2569860015 3354426652 5952222275 0902380963 8726343818 6846451705 9008015759 7054780298 5500824593 3943444578 9451057421 5679639553 1284957564 7648951734 9153980520 0158634501 9877563824 2695491284 2154647000 7434593074 6360893274 2085748811 4585323380 6600051461 2761930651 1428634048 0136815578 9385479092 8639410329 1537818302 8780510521 3576072725 8123855923 2684216613 0002691129 1794057491 4593124841 2000918267 4703455439 3245932485 0518740263 7242832633 3186689598 7827870372 7546786415 2892763767 0384164665 1669597478 1074067878 4431329308 7433570387 2681455957 0815459944 3963660122 5697296384
