380144400
380,144,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 380144400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 120 divisors.
380144400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 380144400:
24 × 3 × 52 × 19 × 16673
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 16673)See below for interesting mathematical facts about the number 380144400 from the Numbermatics database.
Names of 380144400
- Cardinal: 380144400 can be written as Three hundred eighty million, one hundred forty-four thousand, four hundred.
Scientific notation
- Scientific notation: 3.801444 × 108
Factors of 380144400
Divisors of 380144400
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 7600 11400 16673 22800 33346 50019 66692 83365 100038 133384 166730 200076 250095 266768 316787 333460 400152 416825 500190 633574 666920 800304 833650 950361 1000380 1250475 1267148 1333840 1583935 1667300 1900722 2000760 2500950 2534296 3167870 3334600 3801444 4001520 4751805 5001900 5068592 6335740 6669200 7602888 7919675 9503610 10003800 12671480 15205776 15839350 19007220 20007600 23759025 25342960 31678700 38014440 47518050 63357400 76028880 95036100 126714800 190072200 380144400
- Sum of all divisors σ(n): 1281897120
- Sum of proper divisors (its aliquot sum) s(n): 901752720
- 380144400 is an abundant number, because the sum of its proper divisors (901752720) is greater than itself. Its abundance is 521608320
Bases of 380144400
- Binary: 101101010100010001011000100002
- Hexadecimal: 0x16A88B10
- Base-36: 6ABTAO
Squares and roots of 380144400
- 380144400 squared (3801444002) is 144509764851360000
- 380144400 cubed (3801444003) is 54934577853561336384000000
-
The
square root of 380144400 is 19497.2921196767 -
The
cube root of 380144400 is 724.4073793737
Scales and comparisons
How big is 380144400?- 380,144,400 seconds is equal to 12 years, 4 weeks, 3 days, 19 hours, 40 minutes.
-
To count from 1 to 380,144,400 would take you about eighteen 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 380144400 cubic inches would be around 60.4 feet tall.
Recreational maths with 380144400
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 380144400 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 380144400 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/380144400/
Chicago style:
Numbermatics. 2024. "Number 380144400 - Facts about the integer". https://numbermatics.com/n/380144400/
The information we have on file for 380144400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 380144400, math, Factors of 380144400, curriculum, school, college, exams, university, Prime factorization of 380144400, STEM, science, technology, engineering, physics, economics, calculator, three hundred eighty million, one hundred forty-four thousand, four hundred.