#H2026TEST2. Division Sum

Division Sum

Background

This is an output-only problem. You may compute the answer by writing a program or by hand, and then submit the answer text directly.

Description

Xiao Ming wrote the following piece of code while preparing for ACM:

n = 1000000000000000000 # 1e18
ans = 0
for i in range(1, n + 1):
    ans = ans + n // i
print(ans)

He waited and waited, but the program never finished. Please help him — directly output the value that this program would print.

In other words, compute:

$$S = \sum_{i=1}^{10^{18}} \left\lfloor \frac{10^{18}}{i} \right\rfloor $$

Format

Only a single number. The output of the brute force code.

Samples

The example is for illustration of the format only; it may be incorrect.

5201314