I assume the cat and the research is imaginary or cat is a term for a very fast machine, but the problem reduces to:
time=196,900,000,000,000/1,000,000=196,900,000 hours.
That's about 22,462.25 solar years. (The average number of hours in a solar year is about 8,765.82.)
(Problems involving very large numbers are often simplified by using standard form:
196,900,000,000,000=1.969×1014;
1,000,000=106;
8765.82=8.76582×103;
time=1.969×1014/106=1.969×108 hours=1.969×108/8.76582×103=2.246225×104 years.)