11111111111111111 is an odd seventeen-digits composite number following 11111111111111110 and preceding 11111111111111112. In scientific notation, it is written as 1.1111111111111111 × 1016. The sum of its digits is 17. It has a total of 2 prime factors and 4 positive divisors. There are 11,111,105,745,817,032 positive integers (up to 11111111111111111) that are relatively prime to 11111111111111111.
- Properties
- Name
- Notation
- Prime Factorization
- Divisors
- Other Arithmetic Functions
- Divisibility test
- Base converter
- Classification
- Basic calculations
- Geometrical shape
- Hash Functions
Basic properties
- Is Prime? no
- Number parity odd
- Number length 17
- Sum of Digits 17
- Digital Root 8
Name
| Name | eleven quadrillion one hundred eleven trillion one hundred eleven billion one hundred eleven million one hundred eleven thousand one hundred eleven |
|---|
Notation
| Scientific notation | 1.1111111111111111 × 1016 |
|---|---|
| Engineering notation | 11.111111111111111 × 1015 |
Prime Factorization of 11111111111111111
Prime Factorization 2071723 × 5363222357
Composite number
| ω | Distinct Factors | 2 | Total number of distinct prime factors |
|---|---|---|---|
| Ω | Total Factors | 2 | Total number of prime factors |
| rad | Radical | 11111111111111111 | Product of the distinct prime numbers |
| λ | Liouville Lambda | 1 | Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) |
| μ | Mobius Mu | 1 | Returns:
|
| Λ | Mangoldt function | 0 | Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0 |
The prime factorization of 11111111111111111 is 2071723 × 5363222357. Since it has a total of 2 prime factors, 11111111111111111 is a composite number.
Divisors of 11111111111111111
1, 2071723, 5363222357, 11111111111111111
4 divisors
| Even divisors | 0 |
|---|---|
| Odd divisors | 4 |
| 4k+1 divisors | 2 |
| 4k+3 divisors | 2 |
| τ | Total Divisors | 4 | Total number of the positive divisors of n |
|---|---|---|---|
| σ | Sum of Divisors | 11111116476405192 | Sum of all the positive divisors of n |
| s | Aliquot Sum | 5365294081 | Sum of the proper positive divisors of n |
| A | Arithmetic Mean | 2777779119101298 | Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) |
| G | Geometric Mean | 105409255.33895 | Returns the nth root of the product of n divisors |
| H | Harmonic Mean | 3.9999980684951 | Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors |
The number 11111111111111111 can be divided by 4 positive divisors (out of which none is even, and 4 are odd). The sum of these divisors (counting 11111111111111111) is 11111116476405192, the average is 2777779119101298.
Other Arithmetic Functions (n = 11111111111111111)
1 φ(n) n
| φ | Euler Totient | 11111105745817032 | Total number of positive integers not greater than n that are coprime to n |
|---|---|---|---|
| λ | Carmichael Lambda | 326797227818148 | Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n |
| π | Prime Pi | ≈ 309319574976934 | Total number of primes less than or equal to n |
| r2 | Sum of 2 squares | 0 | The number of ways n can be represented as the sum of 2 squares |
There are 11,111,105,745,817,032 positive integers (less than 11111111111111111) that are coprime with 11111111111111111. And there are approximately 309,319,574,976,934 prime numbers less than or equal to 11111111111111111.
Divisibility of 11111111111111111
| m | n mod m |
|---|---|
| 2 | 1 |
| 3 | 2 |
| 4 | 3 |
| 5 | 1 |
| 6 | 5 |
| 7 | 2 |
| 8 | 7 |
| 9 | 8 |
11111111111111111 is not divisible by any number less than or equal to 9.
Classification of 11111111111111111
By Arithmetic functions
- Arithmetic
- Semiprime
- Deficient
Expressible via specific sums
- Polite
By Powers
- Square Free
By other polynomial forms
- Repunit
Other numbers
- LucasCarmichael
Base conversion 11111111111111111
| Base | System | Value |
|---|---|---|
| 2 | Binary | 100111011110010111111100100110110101100111000111000111 |
| 3 | Ternary | 1222222002011211220111212200020222 |
| 4 | Quaternary | 213132113330212311213013013 |
| 5 | Quinary | 43122323421023421023421 |
| 6 | Senary | 301223205551110014555 |
| 8 | Octal | 473627744665470707 |
| 10 | Decimal | 11111111111111111 |
| 12 | Duodecimal | 87a22793194745b |
| 16 | Hexadecimal | 27797f26d671c7 |
| 20 | Vigesimal | 2e517fb248hfb |
| 36 | Base36 | 31ek5z761tz |
Basic calculations (n = 11111111111111111)
Multiplication
n×y| n×2 | 22222222222222222 |
|---|---|
| n×3 | 33333333333333333 |
| n×4 | 44444444444444444 |
| n×5 | 55555555555555555 |
Division
n÷y| n÷2 | 5555555555555555.500 |
|---|---|
| n÷3 | 3703703703703703.666 |
| n÷4 | 2777777777777777.750 |
| n÷5 | 2222222222222222.200 |
Exponentiation
ny| n2 | 123456790123456787654320987654321 |
|---|---|
| n3 | 1371742112482853182441700960219479149519890260631 |
| n4 | 15241579027587257430269775948788303612254229538180094497789971041 |
| n5 | 169350878084302858642822063032396992328405222781078426391640840657767278023336551 |
Nth Root
y√n| 2√n | 105409255.33895 |
|---|---|
| 3√n | 223144.31669406 |
| 4√n | 10266.900960803 |
| 5√n | 1618.6445827673 |
11111111111111111 as geometric shapes
Circle
Radius = n
| Diameter | 22222222222222222 |
|---|---|
| Circumference | 6.9813170079773E+16 |
| Area | 3.8785094488763E+32 |
Sphere
Radius = n
| Volume | 5.7459399242612E+48 |
|---|---|
| Surface area | 1.5514037795505E+33 |
| Circumference | 6.9813170079773E+16 |
Square
Length = n
| Perimeter | 44444444444444444 |
|---|---|
| Area | 1.2345679012346E+32 |
| Diagonal | 1.5713484026368E+16 |
Cube
Length = n
| Surface area | 7.4074074074074E+32 |
|---|---|
| Volume | 1.3717421124829E+48 |
| Space diagonal | 1.9245008972988E+16 |
Equilateral Triangle
Length = n
| Perimeter | 33333333333333333 |
|---|---|
| Area | 5.3458358258299E+31 |
| Altitude | 9.6225044864938E+15 |
Triangular Pyramid
Length = n
| Surface area | 2.1383343303319E+32 |
|---|---|
| Volume | 1.6166135829596E+47 |
| Height | 9.0721842325303E+15 |
Cryptographic Hash Functions
| md5 | 172f1f662c331683b9116438fb009a15 |
|---|---|
| sha1 | a07ac98d82e3aa50376f3c9947a37d44c4f02635 |
| sha256 | e42ee5f2da36700fdbde15a391bc8dd91c8ec0ac3222a60f0c8114d9dbd5220e |
| sha512 | a121c30adc7791cf1bc628232d28c4342d185ca90d9f0d66ce77dc08c6492399b1f63253b5b18e428fa3819e6a974b4367b9393900c234e2ac0c37e153cb8530 |
| ripemd-160 | d7270fd03b2fbaffc719effae44d2020afbbbbd4 |
