123108480
123,108,480 is an even composite number composed of six prime numbers multiplied together.
123108480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 123108480:
27 × 32 × 5 × 11 × 29 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 29 × 67)See below for interesting mathematical facts about the number 123108480 from the Numbermatics database.
Names of 123108480
- Cardinal: 123108480 can be written as One hundred twenty-three million, one hundred eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.2310848 × 108
Factors of 123108480
Divisors of 123108480
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 29 30 32 33 36 40 44 45 48 55 58 60 64 66 67 72 80 87 88 90 96 99 110 116 120 128 132 134 144 145 160 165 174 176 180 192 198 201 220 232 240 261 264 268 288 290 319 320 330 335 348 352 360 384 396 402 435 440 464 480 495 522 528 536 576 580 603 638 640 660 670 696 704 720 737 792 804 870 880 928 957 960 990 1005 1044 1056 1072 1152 1160 1206 1276 1305 1320 1340 1392 1408 1440 1474 1584 1595 1608 1740 1760 1856 1914 1920 1943 1980 2010 2088 2112 2144 2211 2320 2412 2552 2610 2640 2680 2784 2871 2880 2948 3015 3168 3190 3216 3480 3520 3685 3712 3828 3886 3960 4020 4176 4224 4288 4422 4640 4785 4824 5104 5220 5280 5360 5568 5742 5760 5829 5896 6030 6336 6380 6432 6633 6960 7040 7370 7656 7772 7920 8040 8352 8576 8844 9280 9570 9648 9715 10208 10440 10560 10720 11055 11136 11484 11658 11792 12060 12672 12760 12864 13266 13920 14355 14740 15312 15544 15840 16080 16704 17487 17688 18560 19140 19296 19430 20416 20880 21120 21373 21440 22110 22968 23316 23584 24120 25520 25728 26532 27840 28710 29145 29480 30624 31088 31680 32160 33165 33408 34974 35376 38280 38592 38860 40832 41760 42746 42880 44220 45936 46632 47168 48240 51040 53064 55680 57420 58290 58960 61248 62176 63360 64119 64320 66330 69948 70752 76560 77184 77720 83520 85492 87435 88440 91872 93264 94336 96480 102080 106128 106865 114840 116580 117920 122496 124352 128238 128640 132660 139896 141504 153120 155440 167040 170984 174870 176880 183744 186528 192357 192960 204160 212256 213730 229680 233160 235840 248704 256476 265320 279792 283008 306240 310880 320595 341968 349740 353760 367488 373056 384714 385920 424512 427460 459360 466320 471680 512952 530640 559584 612480 621760 641190 683936 699480 707520 746112 769428 849024 854920 918720 932640 961785 1025904 1061280 1119168 1243520 1282380 1367872 1398960 1415040 1538856 1709840 1837440 1865280 1923570 2051808 2122560 2238336 2564760 2735744 2797920 3077712 3419680 3730560 3847140 4103616 4245120 5129520 5595840 6155424 6839360 7694280 8207232 10259040 11191680 12310848 13678720 15388560 20518080 24621696 30777120 41036160 61554240 123108480
- Sum of all divisors σ(n): 486907200
- Sum of proper divisors (its aliquot sum) s(n): 363798720
- 123108480 is an abundant number, because the sum of its proper divisors (363798720) is greater than itself. Its abundance is 240690240
Bases of 123108480
- Binary: 1110101011001111100100000002
- Hexadecimal: 0x7567C80
- Base-36: 21AN40
Squares and roots of 123108480
- 123108480 squared (1231084802) is 15155697847910400
- 123108480 cubed (1231084803) is 1865794925395520520192000
-
The
square root of 123108480 is 11095.4260846531 -
The
cube root of 123108480 is 497.4651440611
Scales and comparisons
How big is 123108480?- 123,108,480 seconds is equal to 3 years, 47 weeks, 3 days, 20 hours, 48 minutes.
-
To count from 1 to 123,108,480 would take you about five 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 123108480 cubic inches would be around 41.5 feet tall.
Recreational maths with 123108480
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 123108480 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 123108480 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/123108480/
Chicago style:
Numbermatics. 2024. "Number 123108480 - Facts about the integer". https://numbermatics.com/n/123108480/
The information we have on file for 123108480 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 123108480, math, Factors of 123108480, curriculum, school, college, exams, university, Prime factorization of 123108480, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-three million, one hundred eight thousand, four hundred eighty.