Assuming your source value is in cell A1, here is all you need:
=N(A1*1440)
This method does not require a reformatting of the output cell.
How does it work?
Dates and times are stored in Excel as a combined number... where the integer portion represents the number of days since December 31, 1899 (although the year that Excel calculates from can be changed to 1904 in the Excel Options, but that is immaterial).
The decimal portion of the stored number represents the time component to associate with the date.
Your value of 1.43902777777778
is correct. It states that the ~34.5 hours represents ~1.44 days.
Since you are interested in minutes, we convert that days figure to minutes by multiplying by 1440 as there are 1440 minutes in a day.
The N() function that wraps that calculation ensures that the displayed output is treated as numeric by Excel. Otherwise the output cell would adopt the date-formatting of A1.