1201648800

1,201,648,800 is an even composite number composed of six prime numbers multiplied together.

What does the number 1201648800 look like?

This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.

1201648800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.

Prime factorization of 1201648800:

25 × 3 × 52 × 11 × 23 × 1979

(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 23 × 1979)

See below for interesting mathematical facts about the number 1201648800 from the Numbermatics database.

Names of 1201648800

• Cardinal: 1201648800 can be written as One billion, two hundred one million, six hundred forty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.2016488 × 109

Factors of 1201648800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 2023

Divisors of 1201648800

• Number of divisors d(n): 288
• Complete list of divisors:
• Sum of all divisors σ(n): 4454714880
• Sum of proper divisors (its aliquot sum) s(n): 3253066080
• 1201648800 is an abundant number, because the sum of its proper divisors (3253066080) is greater than itself. Its abundance is 2051417280

Bases of 1201648800

• Binary: 10001111001111110110100101000002
• Base-36: JVFI5C

Squares and roots of 1201648800

• 1201648800 squared (12016488002) is 1443959838541440000
• 1201648800 cubed (12016488003) is 1735132607231515126272000000
• The square root of 1201648800 is 34664.8063603419
• The cube root of 1201648800 is 1063.1450440697

Scales and comparisons

How big is 1201648800?
• 1,201,648,800 seconds is equal to 38 years, 10 weeks, 5 days, 23 hours, 20 minutes.
• To count from 1 to 1,201,648,800 would take you about seventy-six years!

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 1201648800 cubic inches would be around 88.6 feet tall.

Recreational maths with 1201648800

• 1201648800 backwards is 0088461021
• 1201648800 is a Harshad number.
• The number of decimal digits it has is: 10
• The sum of 1201648800's digits is 30
• More coming soon!

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