None.
Pounds per sq in is a measure of pressure while 1600 sq inches is a measure of area. The two measure different things and, according to basic principles of dimensional analysis, conversion from one to the other is not valid.
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It ranges from 0.033 pounds per cubic inch to 0.043 pounds per cubic inch.
Given that there are 144 square inches per square foot, 100,000 pounds per sqaure foot equals 694.44 pounds per square inch.
The density of aluminum is approximately 0.098 pounds per cubic inch. To convert this to pounds per cubic foot, you would first convert cubic inches to cubic feet (1 cubic foot = 1728 cubic inches) and then multiply by the density in pounds per cubic inch. Therefore, the density of aluminum in pounds per cubic foot is approximately 169 pounds per cubic foot.
Multiply by 144, since there are 144 square inches in a square foot (12x12).
A foot-pound is not a pound per foot, it is a pound times a foot. So the units are not the same. The question has no answer. It is like asking how to convert feet to pounds or seconds to inches.