In the year $)=(0,$ the world reserves of natural gas were approximately $5781$ trilion cubic feet. In that same year, the world consumption of natural gas was approximately $97\mathrm{.}9$ trillion cublic feet, and was growing exponentially at about $2\mathrm{.}6\%$ per year. Th the demand confinues to grow at this rate, and no new reserves of nahural gas are found, in what year will the world reserves of this resource be depleted?

The world reserves will be depleted in the year

$($Round to the nearest year as needed.$)$