## 1528296000000

1,528,296,000,000 (one trillion five hundred twenty-eight billion two hundred ninety-six million) is an even thirteen-digits composite number following 1528295999999 and preceding 1528296000001. In scientific notation, it is written as 1.528296 × 1012. The sum of its digits is 33. It has a total of 19 prime factors and 1120 positive divisors. There are 317,184,000,000 positive integers (up to 1528296000000) that are relatively prime to 1528296000000.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 13
• Sum of Digits 33
• Digital Root 6

## Name

Short name 1 trillion 528 billion 296 million one trillion five hundred twenty-eight billion two hundred ninety-six million

## Notation

Scientific notation 1.528296 × 1012 1.528296 × 1012

## Prime Factorization of 1528296000000

Prime Factorization 29 × 3 × 56 × 7 × 11 × 827

Composite number
Distinct Factors Total Factors Radical ω(n) 6 Total number of distinct prime factors Ω(n) 19 Total number of prime factors rad(n) 1910370 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 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(n) 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 1,528,296,000,000 is 29 × 3 × 56 × 7 × 11 × 827. Since it has a total of 19 prime factors, 1,528,296,000,000 is a composite number.

## Divisors of 1528296000000

1120 divisors

 Even divisors 1008 112 56 56
Total Divisors Sum of Divisors Aliquot Sum τ(n) 1120 Total number of the positive divisors of n σ(n) 6.35275e+12 Sum of all the positive divisors of n s(n) 4.82445e+12 Sum of the proper positive divisors of n A(n) 5.6721e+09 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 1.23624e+06 Returns the nth root of the product of n divisors H(n) 269.441 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1,528,296,000,000 can be divided by 1120 positive divisors (out of which 1008 are even, and 112 are odd). The sum of these divisors (counting 1,528,296,000,000) is 6,352,748,683,776, the average is 56,720,970,39.,085.

## Other Arithmetic Functions (n = 1528296000000)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 317184000000 Total number of positive integers not greater than n that are coprime to n λ(n) 991200000 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 56548278005 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 317,184,000,000 positive integers (less than 1,528,296,000,000) that are coprime with 1,528,296,000,000. And there are approximately 56,548,278,005 prime numbers less than or equal to 1,528,296,000,000.

## Divisibility of 1528296000000

 m n mod m 2 3 4 5 6 7 8 9 0 0 0 0 0 0 0 6

The number 1,528,296,000,000 is divisible by 2, 3, 4, 5, 6, 7 and 8.

• Refactorable
• Abundant

• Polite
• Practical

• Frugal

## Base conversion (1528296000000)

Base System Value
2 Binary 10110001111010101100010100100101000000000
3 Ternary 12102002210120112212112120
4 Quaternary 112033111202210220000
5 Quinary 200014422234000000
6 Senary 3130031155124240
8 Octal 26172542445000
10 Decimal 1528296000000
12 Duodecimal 20823b2a3680
20 Vigesimal 2jdjca0000
36 Base36 ji37z8qo

## Basic calculations (n = 1528296000000)

### Multiplication

n×i
 n×2 3056592000000 4584888000000 6113184000000 7641480000000

### Division

ni
 n⁄2 7.64148e+11 5.09432e+11 3.82074e+11 3.05659e+11

### Exponentiation

ni
 n2 2335688663616000000000000 3569623641849678336000000000000000000 5455441533344296002195456000000000000000000000000 8337529473643954202971306622976000000000000000000000000000000

### Nth Root

i√n
 2√n 1.23624e+06 11518.7 1111.86 273.427

## 1528296000000 as geometric shapes

### Circle

 Diameter 3.05659e+12 9.60257e+12 7.33778e+24

### Sphere

 Volume 1.49524e+37 2.93511e+25 9.60257e+12

### Square

Length = n
 Perimeter 6.11318e+12 2.33569e+24 2.16134e+12

### Cube

Length = n
 Surface area 1.40141e+25 3.56962e+36 2.64709e+12

### Equilateral Triangle

Length = n
 Perimeter 4.58489e+12 1.01138e+24 1.32354e+12

### Triangular Pyramid

Length = n
 Surface area 4.04553e+24 4.20684e+35 1.24785e+12
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