Today I met a customer who said that he had a password to crack, which was not particularly complicated, just 14 digits, and asked me if I could get it for 50 yuan? I was shocked to hear it, and told me that it was still random to crack the 14-digit number, and after listening to it, I felt that it was simply astronomical, and it was impossible to solve it, so I gave a fee of 50 yuan, and I didn't want to run the dictionary. I decisively rejected this order, and then the customer scolded and said that we couldn't do dirty words and didn't write it out, saying that our peers had 18-digit unraveling, so write a popular science + complaining article

How many 14-digit password combinations are there?

To calculate the number of all possible combinations of a 14-digit password, you first need to identify the following factors:

Character set size: The possible character set of the password (for example: numbers, lowercase letters, uppercase letters, special characters, etc.).

I'll break down a few common character set cases to calculate below:

### 1. Numbers only (0-9)

The numeric character set has 10 characters (0 to 9).

The total number of combinations is:

1014=100,000,000,000,00010^{14} = 100,000,000,000,0001014=100,000,000,000,000

That is, 100 trillion possible cryptographic combinations.

### 2. Lowercase letters only (a-z)

The lowercase letter character set has 26 characters.

The total number of combinations is:

2614≈6.7×101926^{14} \approx 6.7 \times 10^{19}2614≈6.7×1019

That's about 6.7 billion billion possible cryptographic combinations.

### 3. Uppercase letters only (A-Z)

The uppercase character set has 26 characters.

The total number of combinations is the same as the lowercase letters, which is:

2614≈6.7×101926^{14} \approx 6.7 \times 10^{19}2614≈6.7×1019

That's about 6.7 billion billion possible cryptographic combinations.

### 4. Mixed uppercase and lowercase letters (a-z, A-Z)

The mixed-case character set has 52 characters (26 lowercase letters + 26 uppercase letters).

The total number of combinations is:

5214≈5.9×102352^{14} \approx 5.9 \times 10^{23}5214≈5.9×1023

That's about 5,900 trillion possible cryptographic combinations.

### 5. Numbers + lowercase letters + uppercase letters (0-9, a-z, A-Z)

The character set size is 62 characters (10 numbers + 26 lowercase letters + 26 uppercase letters).

The total number of combinations is:

6214≈3.5×102462^{14} \approx 3.5 \times 10^{24}6214≈3.5×1024

That's about 35 billion trillion possible password combinations.

### 6. Numbers + Uppercase and lowercase letters + special characters (0-9, a-z, A-Z, special characters)

Let's assume that a special character set has 32 commonly used characters (e.g., etc.), and the total character set size is 94 characters (10 numbers + 26 lowercase letters + 26 uppercase letters + 32 special characters).!@#$%^&*()

The total number of combinations is:

9414≈3.8×102694^{14} \approx 3.8 \times 10^{26}9414≈3.8×1026

That's about 38 billion trillion billion possible cryptographic combinations.

### summary

At our current speed, we can't solve it until the destruction of the earth! RAR format compressed package, our server 10 tens of thousands of devices, is more than 1 million per second