My feeble calculator can't check this

Logic Level 3

\[ \large \overline{A_1 A_2 A_3 \ldots A_{16}} \times 150\% = \overline{A_2 A_3 \ldots A_{15}A_{16} A_1} \]

How many distinct 16-digit positive integer(s) satisfy the condition that if I move its first digit to the last digit, the resultant number increases by 50%?

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