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For the numbers 1 - 9 there are 9 × 1 = 9 digits
For the numbers 10 - 99 there are 90 × 2 = 180 digits
For the numbers 100 - 999 there are 900 × 3 = 2,700 digits
For the numbers 1000 - 9999 there are 9000 × 4 = 36,000 digits
For the number 10000 there are 1 × 5 = 5 digits
In total there are 9 + 180 + 2,700 + 36,000 + 5 = 38,894 digits.
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