1000000000000000000 (Number) - MetaNumbers

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Max9223372036854775807
25835Positive integer
0b10001100Binary number
01771452Octal number
0x129abfHex number
5.012 * 10^7Scientific notation
2^4 * 5Factorized form
*Random number
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  • Is Prime? no
  • Number parity even
  • Number length 19
  • Sum of Digits 1
  • Digital Root 1
Name one quintillion
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.

  • Abundant
  • Polite
  • Practical
  • Square
  • Powerful
  • Perfect Power
  • Perfect Square
  • Perfect Cube
  • Frugal
  • Regular
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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Tag » What Is This Number 1000000000000000000000000