One of your customers is delinquent on his accounts payable balance. You've mutually agreed to a repayment schedule of $$560$ per month. You will charge $\mathrm{.}96$ percent per month interest on the overdue balance. If the current balance is $$14,780,$ how long will it take for the account to be paid off?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

Number of months