MetaNumbers + -
? | Max | 9223372036854775807 |
|---|
| 25835 | Positive integer |
|---|
| 0b10001100 | Binary number |
|---|
| 01771452 | Octal number |
|---|
| 0x129abf | Hex number |
|---|
| 5.012 * 10^7 | Scientific notation |
|---|
| 2^4 * 5 | Factorized form |
|---|
| * | Random number |
|---|
More examples Search
- Is Prime? no
- Number parity even
- Number length 18
- Sum of Digits 1
- Digital Root 1
| Name | one hundred quadrillion |
| Scientific notation | 1 × 1017 |
| Engineering notation | 100 × 1015 |
Prime Factorization 217 × 517
Composite number | ω | Distinct Factors | 2 | Total number of distinct prime factors |
| Ω | Total Factors | 34 | Total number of prime factors |
| rad | Radical | 10 | 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 | 0 | Returns: - 1, if n has an even number of prime factors (and is square free)
- −1, if n has an odd number of prime factors (and is square free)
- 0, if n has a squared prime factor
|
| 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 100000000000000000 is 217 × 517. Since it has a total of 34 prime factors, 100000000000000000 is a composite number.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 512, 640, 800, 1024, 1280, 1600, 2048, 2560, 3200, 4096, 5120, 6400, 8192, 10240, 12800, 16384, 20480, 25600, 32768, 40960, 51200, 65536, 81920, 102400, 131072, 163840, 204800, 327680, 409600, 655360 Load all the 324 divisors
324 divisors
| Even divisors | 306 |
| Odd divisors | 18 |
| 4k+1 divisors | 18 |
| 4k+3 divisors | 0 |
| τ | Total Divisors | 324 | Total number of the positive divisors of n |
| σ | Sum of Divisors | 249999046325618058 | Sum of all the positive divisors of n |
| s | Aliquot Sum | 149999046325618058 | Sum of the proper positive divisors of n |
| A | Arithmetic Mean | 771601994832154.5 | Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) |
| G | Geometric Mean | 316227766.01684 | Returns the nth root of the product of n divisors |
| H | Harmonic Mean | 129.60049438669 | Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors |
The number 100000000000000000 can be divided by 324 positive divisors (out of which 306 are even, and 18 are odd). The sum of these divisors (counting 100000000000000000) is 249999046325618058, the average is 771601994832154.5.
1 φ(n) n | φ | Euler Totient | 40000000000000000 | Total number of positive integers not greater than n that are coprime to n |
| λ | Carmichael Lambda | 10000000000000000 | Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n |
| π | Prime Pi | ≈ 2623443156525467 | Total number of primes less than or equal to n |
| r2 | Sum of 2 squares | 72 | The number of ways n can be represented as the sum of 2 squares |
There are 40,000,000,000,000,000 positive integers (less than 100000000000000000) that are coprime with 100000000000000000. And there are approximately 2,623,443,156,525,467 prime numbers less than or equal to 100000000000000000.
| m | n mod m |
| 2 | 0 |
| 3 | 1 |
| 4 | 0 |
| 5 | 0 |
| 6 | 4 |
| 7 | 5 |
| 8 | 0 |
| 9 | 1 |
The number 100000000000000000 is divisible by 2, 4, 5 and 8.
| Base | System | Value |
| 2 | Binary | 101100011010001010111100001011101100010100000000000000000 |
| 3 | Ternary | 122222200201121122011121220002022201 |
| 4 | Quaternary | 11203101113201131202200000000 |
| 5 | Quinary | 1314324200000000000000000 |
| 6 | Senary | 4320350125444430242544 |
| 8 | Octal | 5432127413542400000 |
| 10 | Decimal | 100000000000000000 |
| 12 | Duodecimal | 65a77b9b44056454 |
| 16 | Hexadecimal | 16345785d8a0000 |
| 20 | Vigesimal | 1485ca00000000 |
| 36 | Base36 | rcn1hssighs |
| n×2 | 200000000000000000 |
| n×3 | 300000000000000000 |
| n×4 | 400000000000000000 |
| n×5 | 500000000000000000 |
| n÷2 | 50000000000000000.000 |
| n÷3 | 33333333333333333.333 |
| n÷4 | 25000000000000000.000 |
| n÷5 | 20000000000000000.000 |
| n2 | 10000000000000000000000000000000000 |
| n3 | 1000000000000000000000000000000000000000000000000000 |
| n4 | 100000000000000000000000000000000000000000000000000000000000000000000 |
| n5 | 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000 |
| 2√n | 316227766.01684 |
| 3√n | 464158.88336128 |
| 4√n | 17782.794100389 |
| 5√n | 2511.8864315096 |
| Diameter | 200000000000000000 |
| Circumference | 6.2831853071796E+17 |
| Area | 3.1415926535898E+34 |
| Volume | 4.1887902047864E+51 |
| Surface area | 1.2566370614359E+35 |
| Circumference | 6.2831853071796E+17 |
| Perimeter | 400000000000000000 |
| Area | 1.0E+34 |
| Diagonal | 1.4142135623731E+17 |
| Surface area | 6.0E+34 |
| Volume | 1.0E+51 |
| Space diagonal | 1.7320508075689E+17 |
| Perimeter | 300000000000000000 |
| Area | 4.3301270189222E+33 |
| Altitude | 8.6602540378444E+16 |
| Surface area | 1.7320508075689E+34 |
| Volume | 1.1785113019776E+50 |
| Height | 8.1649658092773E+16 |
| md5 | 771f8dd62d9e8c683ce4fe06fe4989c7 |
| sha1 | 58073722df57e82a032ffa33c85f38f160000d9c |
| sha256 | 31b33fffe351c9c8d742bcadf10e94f196e1f0622b6fb4e894c70df848d4d835 |
| sha512 | 0b9126ea42b19e7db7deab3f55282498a9f6a4c3019f8f92d81ea310555a0890736e1da7291e4f858024306c7389116f28087c0b11693d2c879b2741e5530d37 |
| ripemd-160 | b630b2a10104ffa726b1e1e7fc09540a1cdcc77a |
✕