138220800
138,220,800 is an even composite number composed of five prime numbers multiplied together.
138220800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138220800:
28 × 3 × 52 × 23 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 313)See below for interesting mathematical facts about the number 138220800 from the Numbermatics database.
Names of 138220800
- Cardinal: 138220800 can be written as One hundred thirty-eight million, two hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382208 × 108
Factors of 138220800
Divisors of 138220800
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 64 69 75 80 92 96 100 115 120 128 138 150 160 184 192 200 230 240 256 276 300 313 320 345 368 384 400 460 480 552 575 600 626 640 690 736 768 800 920 939 960 1104 1150 1200 1252 1280 1380 1472 1565 1600 1725 1840 1878 1920 2208 2300 2400 2504 2760 2944 3130 3200 3450 3680 3756 3840 4416 4600 4695 4800 5008 5520 5888 6260 6400 6900 7199 7360 7512 7825 8832 9200 9390 9600 10016 11040 12520 13800 14398 14720 15024 15650 17664 18400 18780 19200 20032 21597 22080 23475 25040 27600 28796 29440 30048 31300 35995 36800 37560 40064 43194 44160 46950 50080 55200 57592 60096 62600 71990 73600 75120 80128 86388 88320 93900 100160 107985 110400 115184 120192 125200 143980 147200 150240 172776 179975 187800 200320 215970 220800 230368 240384 250400 287960 300480 345552 359950 375600 400640 431940 441600 460736 500800 539925 575920 600960 691104 719900 751200 863880 921472 1001600 1079850 1151840 1201920 1382208 1439800 1502400 1727760 1842944 2003200 2159700 2303680 2764416 2879600 3004800 3455520 4319400 4607360 5528832 5759200 6009600 6911040 8638800 9214720 11518400 13822080 17277600 23036800 27644160 34555200 46073600 69110400 138220800
- Sum of all divisors σ(n): 477511104
- Sum of proper divisors (its aliquot sum) s(n): 339290304
- 138220800 is an abundant number, because the sum of its proper divisors (339290304) is greater than itself. Its abundance is 201069504
Bases of 138220800
- Binary: 10000011110100010101000000002
- Hexadecimal: 0x83D1500
- Base-36: 2AAJUO
Squares and roots of 138220800
- 138220800 squared (1382208002) is 19104989552640000
- 138220800 cubed (1382208003) is 2640706939957542912000000
-
The
square root of 138220800 is 11756.7342404257 -
The
cube root of 138220800 is 517.0403863361
Scales and comparisons
How big is 138220800?- 138,220,800 seconds is equal to 4 years, 20 weeks, 3 days, 18 hours, 40 minutes.
-
To count from 1 to 138,220,800 would take you about 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 138220800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138220800
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 138220800 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 138220800 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138220800/
Chicago style:
Numbermatics. 2024. "Number 138220800 - Facts about the integer". https://numbermatics.com/n/138220800/
The information we have on file for 138220800 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 138220800, math, Factors of 138220800, curriculum, school, college, exams, university, Prime factorization of 138220800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight million, two hundred twenty thousand, eight hundred.