138282320
138,282,320 is an even composite number composed of six prime numbers multiplied together.
138282320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138282320:
24 × 5 × 11 × 31 × 37 × 137
(2 × 2 × 2 × 2 × 5 × 11 × 31 × 37 × 137)See below for interesting mathematical facts about the number 138282320 from the Numbermatics database.
Names of 138282320
- Cardinal: 138282320 can be written as One hundred thirty-eight million, two hundred eighty-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3828232 × 108
Factors of 138282320
Divisors of 138282320
- Number of divisors d(n): 160
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 31 37 40 44 55 62 74 80 88 110 124 137 148 155 176 185 220 248 274 296 310 341 370 407 440 496 548 592 620 682 685 740 814 880 1096 1147 1240 1364 1370 1480 1507 1628 1705 2035 2192 2294 2480 2728 2740 2960 3014 3256 3410 4070 4247 4588 5069 5456 5480 5735 6028 6512 6820 7535 8140 8494 9176 10138 10960 11470 12056 12617 13640 15070 16280 16988 18352 20276 21235 22940 24112 25234 25345 27280 30140 32560 33976 40552 42470 45880 46717 50468 50690 55759 60280 63085 67952 81104 84940 91760 93434 100936 101380 111518 120560 126170 157139 169880 186868 201872 202760 223036 233585 252340 278795 314278 339760 373736 405520 446072 467170 504680 557590 628556 747472 785695 892144 934340 1009360 1115180 1257112 1571390 1728529 1868680 2230360 2514224 3142780 3457058 3737360 4460720 6285560 6914116 8642645 12571120 13828232 17285290 27656464 34570580 69141160 138282320
- Sum of all divisors σ(n): 374547456
- Sum of proper divisors (its aliquot sum) s(n): 236265136
- 138282320 is an abundant number, because the sum of its proper divisors (236265136) is greater than itself. Its abundance is 97982816
Bases of 138282320
- Binary: 10000011111000000101010100002
- Hexadecimal: 0x83E0550
- Base-36: 2ABVBK
Squares and roots of 138282320
- 138282320 squared (1382823202) is 19122000024582400
- 138282320 cubed (1382823203) is 2644234526439311303168000
-
The
square root of 138282320 is 11759.3503221903 -
The
cube root of 138282320 is 517.1170839259
Scales and comparisons
How big is 138282320?- 138,282,320 seconds is equal to 4 years, 20 weeks, 4 days, 11 hours, 45 minutes, 20 seconds.
-
To count from 1 to 138,282,320 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 138282320 cubic inches would be around 43.1 feet tall.
Recreational maths with 138282320
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 138282320 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 138282320 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/138282320/
Chicago style:
Numbermatics. 2024. "Number 138282320 - Facts about the integer". https://numbermatics.com/n/138282320/
The information we have on file for 138282320 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 138282320, math, Factors of 138282320, curriculum, school, college, exams, university, Prime factorization of 138282320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight million, two hundred eighty-two thousand, three hundred twenty.