106142400
106,142,400 is an even composite number composed of five prime numbers multiplied together.
106142400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred eighty-eight divisors.
Prime factorization of 106142400:
26 × 36 × 52 × 7 × 13
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13)See below for interesting mathematical facts about the number 106142400 from the Numbermatics database.
Names of 106142400
- Cardinal: 106142400 can be written as One hundred six million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.061424 × 108
Factors of 106142400
Divisors of 106142400
- Number of divisors d(n): 588
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 100 104 105 108 112 117 120 126 130 135 140 144 150 156 160 162 168 175 180 182 189 192 195 200 208 210 216 224 225 234 240 243 252 260 270 273 280 288 300 312 315 320 324 325 336 350 351 360 364 378 390 400 405 416 420 432 448 450 455 468 480 486 504 520 525 540 546 560 567 576 585 600 624 630 648 650 672 675 700 702 720 728 729 756 780 800 810 819 832 840 864 900 910 936 945 960 972 975 1008 1040 1050 1053 1080 1092 1120 1134 1170 1200 1215 1248 1260 1296 1300 1344 1350 1365 1400 1404 1440 1456 1458 1512 1560 1575 1600 1620 1638 1680 1701 1728 1755 1800 1820 1872 1890 1944 1950 2016 2025 2080 2100 2106 2160 2184 2240 2268 2275 2340 2400 2430 2457 2496 2520 2592 2600 2700 2730 2800 2808 2835 2880 2912 2916 2925 3024 3120 3150 3159 3240 3276 3360 3402 3510 3600 3640 3645 3744 3780 3888 3900 4032 4050 4095 4160 4200 4212 4320 4368 4536 4550 4680 4725 4800 4860 4914 5040 5103 5184 5200 5265 5400 5460 5600 5616 5670 5824 5832 5850 6048 6075 6240 6300 6318 6480 6552 6720 6804 6825 7020 7200 7280 7290 7371 7488 7560 7776 7800 8100 8190 8400 8424 8505 8640 8736 8775 9072 9100 9360 9450 9477 9720 9828 10080 10206 10400 10530 10800 10920 11200 11232 11340 11664 11700 12096 12150 12285 12480 12600 12636 12960 13104 13608 13650 14040 14175 14400 14560 14580 14742 15120 15552 15600 15795 16200 16380 16800 16848 17010 17472 17550 18144 18200 18225 18720 18900 18954 19440 19656 20160 20412 20475 20800 21060 21600 21840 22113 22464 22680 23328 23400 24300 24570 25200 25272 25515 25920 26208 26325 27216 27300 28080 28350 29120 29160 29484 30240 31200 31590 32400 32760 33600 33696 34020 35100 36288 36400 36450 36855 37440 37800 37908 38880 39312 40824 40950 42120 42525 43200 43680 44226 45360 46656 46800 47385 48600 49140 50400 50544 51030 52416 52650 54432 54600 56160 56700 58320 58968 60480 61425 62400 63180 64800 65520 66339 67392 68040 70200 72800 72900 73710 75600 75816 77760 78624 78975 81648 81900 84240 85050 87360 88452 90720 93600 94770 97200 98280 100800 101088 102060 105300 108864 109200 110565 112320 113400 116640 117936 122850 126360 127575 129600 131040 132678 136080 140400 145600 145800 147420 151200 151632 157248 157950 163296 163800 168480 170100 176904 181440 184275 187200 189540 194400 196560 202176 204120 210600 218400 221130 226800 233280 235872 236925 245700 252720 255150 262080 265356 272160 280800 291600 294840 302400 303264 315900 326592 327600 331695 336960 340200 353808 368550 379080 388800 393120 408240 421200 436800 442260 453600 471744 473850 491400 505440 510300 530712 544320 552825 561600 583200 589680 606528 631800 655200 663390 680400 707616 737100 758160 786240 816480 842400 884520 907200 947700 982800 1010880 1020600 1061424 1105650 1166400 1179360 1263600 1310400 1326780 1360800 1415232 1474200 1516320 1632960 1658475 1684800 1769040 1895400 1965600 2041200 2122848 2211300 2358720 2527200 2653560 2721600 2948400 3032640 3316950 3538080 3790800 3931200 4082400 4245696 4422600 5054400 5307120 5896800 6633900 7076160 7581600 8164800 8845200 10614240 11793600 13267800 15163200 17690400 21228480 26535600 35380800 53071200 106142400
- Sum of all divisors σ(n): 481951792
- Sum of proper divisors (its aliquot sum) s(n): 375809392
- 106142400 is an abundant number, because the sum of its proper divisors (375809392) is greater than itself. Its abundance is 269666992
Bases of 106142400
- Binary: 1100101001110011010110000002
- Hexadecimal: 0x6539AC0
- Base-36: 1R7000
Squares and roots of 106142400
- 106142400 squared (1061424002) is 11266209077760000
- 106142400 cubed (1061424003) is 1195822470415233024000000
-
The
square root of 106142400 is 10302.5433753031 -
The
cube root of 106142400 is 473.4741805717
Scales and comparisons
How big is 106142400?- 106,142,400 seconds is equal to 3 years, 19 weeks, 3 days, 12 hours.
-
To count from 1 to 106,142,400 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 106142400 cubic inches would be around 39.5 feet tall.
Recreational maths with 106142400
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 106142400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 106142400 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/106142400/
Chicago style:
Numbermatics. 2024. "Number 106142400 - Facts about the integer". https://numbermatics.com/n/106142400/
The information we have on file for 106142400 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 106142400, math, Factors of 106142400, curriculum, school, college, exams, university, Prime factorization of 106142400, STEM, science, technology, engineering, physics, economics, calculator, one hundred six million, one hundred forty-two thousand, four hundred.