138328320
138,328,320 is an even composite number composed of six prime numbers multiplied together.
138328320 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 138328320:
28 × 3 × 5 × 13 × 17 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 163)See below for interesting mathematical facts about the number 138328320 from the Numbermatics database.
Names of 138328320
- Cardinal: 138328320 can be written as One hundred thirty-eight million, three hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3832832 × 108
Factors of 138328320
Divisors of 138328320
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 32 34 39 40 48 51 52 60 64 65 68 78 80 85 96 102 104 120 128 130 136 156 160 163 170 192 195 204 208 221 240 255 256 260 272 312 320 326 340 384 390 408 416 442 480 489 510 520 544 624 640 652 663 680 768 780 815 816 832 884 960 978 1020 1040 1088 1105 1248 1280 1304 1326 1360 1560 1630 1632 1664 1768 1920 1956 2040 2080 2119 2176 2210 2445 2496 2608 2652 2720 2771 3120 3260 3264 3315 3328 3536 3840 3912 4080 4160 4238 4352 4420 4890 4992 5216 5304 5440 5542 6240 6357 6520 6528 6630 7072 7824 8160 8313 8320 8476 8840 9780 9984 10432 10595 10608 10880 11084 12480 12714 13040 13056 13260 13855 14144 15648 16320 16626 16640 16952 17680 19560 20864 21190 21216 21760 22168 24960 25428 26080 26520 27710 28288 31296 31785 32640 33252 33904 35360 36023 39120 41565 41728 42380 42432 44336 49920 50856 52160 53040 55420 56576 62592 63570 65280 66504 67808 70720 72046 78240 83130 84760 84864 88672 101712 104320 106080 108069 110840 125184 127140 133008 135616 141440 144092 156480 166260 169520 169728 177344 180115 203424 208640 212160 216138 221680 254280 266016 271232 282880 288184 312960 332520 339040 354688 360230 406848 424320 432276 443360 508560 532032 540345 542464 576368 625920 665040 678080 709376 720460 813696 848640 864552 886720 1017120 1064064 1080690 1152736 1330080 1356160 1440920 1627392 1729104 1773440 2034240 2128128 2161380 2305472 2660160 2712320 2881840 3458208 3546880 4068480 4322760 4610944 5320320 5763680 6916416 8136960 8645520 9221888 10640640 11527360 13832832 17291040 23054720 27665664 34582080 46109440 69164160 138328320
- Sum of all divisors σ(n): 506846592
- Sum of proper divisors (its aliquot sum) s(n): 368518272
- 138328320 is an abundant number, because the sum of its proper divisors (368518272) is greater than itself. Its abundance is 230189952
Bases of 138328320
- Binary: 10000011111010111001000000002
- Hexadecimal: 0x83EB900
- Base-36: 2ACUTC
Squares and roots of 138328320
- 138328320 squared (1383283202) is 19134724114022400
- 138328320 cubed (1383283203) is 2646874240356207034368000
-
The
square root of 138328320 is 11761.3060499249 -
The
cube root of 138328320 is 517.1744177163
Scales and comparisons
How big is 138328320?- 138,328,320 seconds is equal to 4 years, 20 weeks, 5 days, 32 minutes.
-
To count from 1 to 138,328,320 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 138328320 cubic inches would be around 43.1 feet tall.
Recreational maths with 138328320
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 138328320 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 138328320 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138328320/
Chicago style:
Numbermatics. 2024. "Number 138328320 - Facts about the integer". https://numbermatics.com/n/138328320/
The information we have on file for 138328320 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 138328320, math, Factors of 138328320, curriculum, school, college, exams, university, Prime factorization of 138328320, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight million, three hundred twenty-eight thousand, three hundred twenty.