1328128800
1,328,128,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 1328128800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
1328128800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 1328128800:
25 × 3 × 52 × 631 × 877
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 631 × 877)See below for interesting mathematical facts about the number 1328128800 from the Numbermatics database.
Names of 1328128800
- Cardinal: 1328128800 can be written as One billion, three hundred twenty-eight million, one hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.3281288 × 109
Factors of 1328128800
Divisors of 1328128800
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 631 800 877 1200 1262 1754 1893 2400 2524 2631 3155 3508 3786 4385 5048 5262 6310 7016 7572 8770 9465 10096 10524 12620 13155 14032 15144 15775 17540 18930 20192 21048 21925 25240 26310 28064 30288 31550 35080 37860 42096 43850 47325 50480 52620 60576 63100 65775 70160 75720 84192 87700 94650 100960 105240 126200 131550 140320 151440 175400 189300 210480 252400 263100 302880 350800 378600 420960 504800 526200 553387 701600 757200 1052400 1106774 1514400 1660161 2104800 2213548 2766935 3320322 4427096 5533870 6640644 8300805 8854192 11067740 13281288 13834675 16601610 17708384 22135480 26562576 27669350 33203220 41504025 44270960 53125152 55338700 66406440 83008050 88541920 110677400 132812880 166016100 221354800 265625760 332032200 442709600 664064400 1328128800
- Sum of all divisors σ(n): 4334847552
- Sum of proper divisors (its aliquot sum) s(n): 3006718752
- 1328128800 is an abundant number, because the sum of its proper divisors (3006718752) is greater than itself. Its abundance is 1678589952
Bases of 1328128800
- Binary: 10011110010100110100011001000002
- Hexadecimal: 0x4F29A320
- Base-36: LYQEQO
Squares and roots of 1328128800
- 1328128800 squared (13281288002) is 1763926109389440000
- 1328128800 cubed (13281288003) is 2342721066952065679872000000
-
The
square root of 1328128800 is 36443.5014783157 -
The
cube root of 1328128800 is 1099.2084663805
Scales and comparisons
How big is 1328128800?- 1,328,128,800 seconds is equal to 42 years, 11 weeks, 6 days, 20 hours, 40 minutes.
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To count from 1 to 1,328,128,800 would take you about eighty-four 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 1328128800 cubic inches would be around 91.6 feet tall.
Recreational maths with 1328128800
- 1328128800 backwards is 0088218231
- The number of decimal digits it has is: 10
- The sum of 1328128800's digits is 33
- More coming soon!
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