1. Tardigrade
  2. Question
  3. Mathematics
  4. Find the number of divisors of the number N = 2000 C 1+2 ⋅ 2000 C 2+3 ⋅ 2000 C 3+ ldots ldots+2000 ⋅ 2000 C 2000

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Q. Find the number of divisors of the number $ N ={ }^{2000} C _1+2 \cdot{ }^{2000} C _2+3 \cdot{ }^{2000} C _3+\ldots \ldots+2000 \cdot{ }^{2000} C _{2000} $

Binomial Theorem

Solution:

Correct answer is '8016'