Answer :

To insert commas into the given numbers, formatting them according to standard numerical conventions, follow these steps for each of the numbers:

### Step-by-Step Solution
When inserting commas into numbers, commas are typically placed every three digits from right to left. Let's apply this to each of the given numbers.

a. 13,886
1. Start from the right: `13886`
2. Count three digits: `13,886`
3. Insert the comma: `13,886`

b. 365
1. For numbers with three digits or fewer, there is no need for commas: `365`

c. 719,463
1. Start from the right: `719463`
2. Count three digits: `719,463`
3. Insert the comma: `719,463`

d. 40,047,209
1. Start from the right: `40047209`
2. Count three digits: `40,047,209`
3. Insert the commas: `40,047,209`

e. 2,145,739,180
1. Start from the right: `2145739180`
2. Count three digits: `2,145,739,180`
3. Insert the commas: `2,145,739,180`

f. 1,783,457
1. Start from the right: `1783457`
2. Count three digits: `1,783,457`
3. Insert the commas: `1,783,457`

### Summary
So, by applying the above method to each number, we arrive at the following results:

- a. 13,886
- b. 365
- c. 719,463
- d. 40,047,209
- e. 2,145,739,180
- f. 1,783,457