At age $25,$ Kisha graduated from college. Immediately afterwards, she started her first full$-$time job. Although she had to sacrifice, she decided to contribute $$2,000$ a year to her employer$$s Roth $401$k plan. She was also fortunate in that she had an employer who matched her contribution. For $40$ years, $$4,000$ was invested into a more conservative bond fund and it earned a return of $4\%$ per year.

At age $65,$ what is the balance of Kisha$$s IRA $($including both contributions and earnings from both her and her employer$)?$