Question 77
Aerith timed how long it took herself to solve a BMC monthly contest. She writes down the elapsed time as days:hours:minutes:seconds, and also simply as seconds. For example, if she spent $1,000,000$ seconds, she would write down $11:13:46:40$ and $1,000,000$.
Bob sees her numbers and subtracts them, ignoring punctuation; in this case he would get
$$
11134640-1000000=10134640.
$$
What is the largest number that always must divide his result?
Bob sees her numbers and subtracts them, ignoring punctuation; in this case he would get
$$
11134640-1000000=10134640.
$$
What is the largest number that always must divide his result?