108144960
108,144,960 is an even composite number composed of six prime numbers multiplied together.
108144960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 108144960:
26 × 3 × 5 × 72 × 112 × 19
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 11 × 19)See below for interesting mathematical facts about the number 108144960 from the Numbermatics database.
Names of 108144960
- Cardinal: 108144960 can be written as One hundred eight million, one hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.0814496 × 108
Factors of 108144960
Divisors of 108144960
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 19 20 21 22 24 28 30 32 33 35 38 40 42 44 48 49 55 56 57 60 64 66 70 76 77 80 84 88 95 96 98 105 110 112 114 120 121 132 133 140 147 152 154 160 165 168 176 190 192 196 209 210 220 224 228 231 240 242 245 264 266 280 285 294 304 308 320 330 336 352 363 380 385 392 399 418 420 440 448 456 462 480 484 490 528 532 539 560 570 588 605 608 616 627 660 665 672 704 726 735 760 770 784 798 836 840 847 880 912 924 931 960 968 980 1045 1056 1064 1078 1120 1140 1155 1176 1210 1216 1232 1254 1320 1330 1344 1452 1463 1470 1520 1540 1568 1596 1617 1672 1680 1694 1760 1815 1824 1848 1862 1936 1960 1995 2090 2112 2128 2156 2240 2280 2299 2310 2352 2420 2464 2508 2541 2640 2660 2695 2793 2904 2926 2940 3040 3080 3135 3136 3192 3234 3344 3360 3388 3520 3630 3648 3696 3724 3872 3920 3990 4180 4235 4256 4312 4389 4560 4598 4620 4655 4704 4840 4928 5016 5082 5280 5320 5390 5586 5808 5852 5880 5929 6080 6160 6270 6384 6468 6688 6720 6776 6897 7260 7315 7392 7448 7744 7840 7980 8085 8360 8470 8512 8624 8778 9120 9196 9240 9310 9408 9680 10032 10164 10241 10560 10640 10780 11172 11495 11616 11704 11760 11858 12320 12540 12705 12768 12936 13376 13552 13794 13965 14520 14630 14784 14896 15680 15960 16093 16170 16720 16940 17248 17556 17787 18240 18392 18480 18620 19360 20064 20328 20482 21280 21560 21945 22344 22990 23232 23408 23520 23716 24640 25080 25410 25536 25872 27104 27588 27930 29040 29260 29645 29792 30723 31920 32186 32340 33440 33880 34485 34496 35112 35574 36784 36960 37240 38720 40128 40656 40964 42560 43120 43890 44688 45980 46816 47040 47432 48279 50160 50820 51205 51744 54208 55176 55860 58080 58520 59290 59584 61446 63840 64372 64680 66880 67760 68970 70224 71148 73568 73920 74480 80465 81312 81928 86240 87780 88935 89376 91960 93632 94864 96558 100320 101640 102410 103488 110352 111720 112651 116160 117040 118580 122892 127680 128744 129360 135520 137940 140448 142296 147136 148960 153615 160930 162624 163856 172480 175560 177870 178752 183920 189728 193116 200640 203280 204820 220704 223440 225302 234080 237160 241395 245784 257488 258720 271040 275880 280896 284592 297920 307230 321860 327712 337953 351120 355740 367840 379456 386232 406560 409640 441408 446880 450604 468160 474320 482790 491568 514976 517440 551760 563255 569184 614460 643720 655424 675906 702240 711480 735680 772464 813120 819280 893760 901208 948640 965580 983136 1029952 1103520 1126510 1138368 1228920 1287440 1351812 1404480 1422960 1544928 1638560 1689765 1802416 1897280 1931160 1966272 2207040 2253020 2457840 2574880 2703624 2845920 3089856 3277120 3379530 3604832 3862320 4506040 4915680 5149760 5407248 5691840 6759060 7209664 7724640 9012080 9831360 10814496 13518120 15449280 18024160 21628992 27036240 36048320 54072480 108144960
- Sum of all divisors σ(n): 462137760
- Sum of proper divisors (its aliquot sum) s(n): 353992800
- 108144960 is an abundant number, because the sum of its proper divisors (353992800) is greater than itself. Its abundance is 245847840
Bases of 108144960
- Binary: 1100111001000101001010000002
- Hexadecimal: 0x6722940
- Base-36: 1SDX6O
Squares and roots of 108144960
- 108144960 squared (1081449602) is 11695332373401600
- 108144960 cubed (1081449603) is 1264791251708221095936000
-
The
square root of 108144960 is 10399.2768979387 -
The
cube root of 108144960 is 476.4332848315
Scales and comparisons
How big is 108144960?- 108,144,960 seconds is equal to 3 years, 22 weeks, 5 days, 16 hours, 16 minutes.
-
To count from 1 to 108,144,960 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 108144960 cubic inches would be around 39.7 feet tall.
Recreational maths with 108144960
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 108144960 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 108144960 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/108144960/
Chicago style:
Numbermatics. 2024. "Number 108144960 - Facts about the integer". https://numbermatics.com/n/108144960/
The information we have on file for 108144960 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 108144960, math, Factors of 108144960, curriculum, school, college, exams, university, Prime factorization of 108144960, STEM, science, technology, engineering, physics, economics, calculator, one hundred eight million, one hundred forty-four thousand, nine hundred sixty.