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 19
- Sum of Digits 1
- Digital Root 1
| Scientific notation | 1 × 1018 |
| Engineering notation | 1 × 1018 |
Prime Factorization 218 × 518
Composite number | ω | Distinct Factors | 2 | Total number of distinct prime factors |
| Ω | Total Factors | 36 | 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 1000000000000000000 is 218 × 518. Since it has a total of 36 prime factors, 1000000000000000000 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, 262144, 327680, 655360, 1310720 Load all the 361 divisors
361 divisors
| Even divisors | 342 |
| Odd divisors | 19 |
| 4k+1 divisors | 19 |
| 4k+3 divisors | 0 |
| τ | Total Divisors | 361 | Total number of the positive divisors of n |
| σ | Sum of Divisors | 2499995231628286897 | Sum of all the positive divisors of n |
| s | Aliquot Sum | 1499995231628286897 | Sum of the proper positive divisors of n |
| A | Arithmetic Mean | 6925194547446778.108 | Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) |
| G | Geometric Mean | 1000000000 | Returns the nth root of the product of n divisors |
| H | Harmonic Mean | 144.40027542168 | Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors |
The number 1000000000000000000 can be divided by 361 positive divisors (out of which 342 are even, and 19 are odd). The sum of these divisors (counting 1000000000000000000) is 2499995231628286897, the average is 6925194547446778.108.
1 φ(n) n | φ | Euler Totient | 400000000000000000 | Total number of positive integers not greater than n that are coprime to n |
| λ | Carmichael Lambda | 100000000000000000 | Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n |
| π | Prime Pi | ≈ 24740636413369032 | Total number of primes less than or equal to n |
| r2 | Sum of 2 squares | 76 | The number of ways n can be represented as the sum of 2 squares |
There are 400,000,000,000,000,000 positive integers (less than 1000000000000000000) that are coprime with 1000000000000000000. And there are approximately 24,740,636,413,369,030 prime numbers less than or equal to 1000000000000000000.
| m | n mod m |
| 2 | 0 |
| 3 | 1 |
| 4 | 0 |
| 5 | 0 |
| 6 | 4 |
| 7 | 1 |
| 8 | 0 |
| 9 | 1 |
The number 1000000000000000000 is divisible by 2, 4, 5 and 8.
- Powerful
- Perfect Power
- Perfect Square
- Perfect Cube
| Base | System | Value |
| 2 | Binary | 110111100000101101101011001110100111011001000000000000000000 |
| 3 | Ternary | 20122212221021011100201020220212020001 |
| 4 | Quaternary | 313200231223032213121000000000 |
| 5 | Quinary | 31342034000000000000000000 |
| 6 | Senary | 113330222253555304325344 |
| 8 | Octal | 67405553164731000000 |
| 10 | Decimal | 1000000000000000000 |
| 12 | Duodecimal | 54aa47a3574473854 |
| 16 | Hexadecimal | de0b6b3a7640000 |
| 20 | Vigesimal | c42g5000000000 |
| 36 | Base36 | 7lieexzx4kxs |
| n×2 | 2000000000000000000 |
| n×3 | 3000000000000000000 |
| n×4 | 4000000000000000000 |
| n×5 | 5000000000000000000 |
| n÷2 | 500000000000000000.000 |
| n÷3 | 333333333333333333.333 |
| n÷4 | 250000000000000000.000 |
| n÷5 | 200000000000000000.000 |
| n2 | 1000000000000000000000000000000000000 |
| n3 | 1000000000000000000000000000000000000000000000000000000 |
| n4 | 1000000000000000000000000000000000000000000000000000000000000000000000000 |
| n5 | 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 |
| 2√n | 1000000000 |
| 3√n | 1000000 |
| 4√n | 31622.776601684 |
| 5√n | 3981.071705535 |
| Diameter | 2000000000000000000 |
| Circumference | 6.2831853071796E+18 |
| Area | 3.1415926535898E+36 |
| Volume | 4.1887902047864E+54 |
| Surface area | 1.2566370614359E+37 |
| Circumference | 6.2831853071796E+18 |
| Perimeter | 4000000000000000000 |
| Area | 1.0E+36 |
| Diagonal | 1.4142135623731E+18 |
| Surface area | 6.0E+36 |
| Volume | 1.0E+54 |
| Space diagonal | 1.7320508075689E+18 |
| Perimeter | 3000000000000000000 |
| Area | 4.3301270189222E+35 |
| Altitude | 8.6602540378444E+17 |
| Surface area | 1.7320508075689E+36 |
| Volume | 1.1785113019776E+53 |
| Height | 8.1649658092773E+17 |
| md5 | 31a834784aa001a80402f7ed6cc69b52 |
| sha1 | 1b86c0e3bdee7e4f0e04e84ebdbfc85db7ac19f7 |
| sha256 | 4ae38a44d132fb606fe125d32a214b6e05b9db70e196c63ec5d369495e258ae9 |
| sha512 | 2887c745be1ff5c66ded2eb2e675f41b4c53ebed43df0efff87989a36ca0a1383002b3a9d0c169833c575ad9eb79da28a7e438bf90ae41191a6b7c77ca70d632 |
| ripemd-160 | e3109f01d1614451225760b7d6bcb88026617b15 |
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