83820645313920
83,820,645,313,920 is an even composite number composed of six prime numbers multiplied together.
83820645313920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 83820645313920:
27 × 33 × 5 × 31 × 139 × 10612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 31 × 139 × 1061 × 1061)See below for interesting mathematical facts about the number 83820645313920 from the Numbermatics database.
Names of 83820645313920
- Cardinal: 83820645313920 can be written as Eighty-three trillion, eight hundred twenty billion, six hundred forty-five million, three hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 8.382064531392 × 1013
Factors of 83820645313920
Divisors of 83820645313920
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 32 36 40 45 48 54 60 62 64 72 80 90 93 96 108 120 124 128 135 139 144 155 160 180 186 192 216 240 248 270 278 279 288 310 320 360 372 384 417 432 465 480 496 540 556 558 576 620 640 695 720 744 834 837 864 930 960 992 1061 1080 1112 1116 1152 1240 1251 1390 1395 1440 1488 1668 1674 1728 1860 1920 1984 2085 2122 2160 2224 2232 2480 2502 2780 2790 2880 2976 3183 3336 3348 3456 3720 3753 3968 4170 4185 4244 4309 4320 4448 4464 4960 5004 5305 5560 5580 5760 5952 6255 6366 6672 6696 7440 7506 8340 8370 8488 8618 8640 8896 8928 9549 9920 10008 10610 11120 11160 11904 12510 12732 12927 13344 13392 14880 15012 15915 16680 16740 16976 17236 17280 17792 17856 18765 19098 19840 20016 21220 21545 22240 22320 25020 25464 25854 26688 26784 28647 29760 30024 31830 32891 33360 33480 33952 34472 35712 37530 38196 38781 40032 42440 43090 44480 44640 47745 50040 50928 51708 53376 53568 57294 59520 60048 63660 64635 65782 66720 66960 67904 68944 75060 76392 77562 80064 84880 86180 88960 89280 95490 98673 100080 101856 103416 107136 114588 116343 120096 127320 129270 131564 133440 133920 135808 137888 143235 147479 150120 152784 155124 160128 164455 169760 172360 178560 190980 193905 197346 200160 203712 206832 229176 232686 240192 254640 258540 263128 266880 267840 275776 286470 294958 296019 300240 305568 310248 328910 339520 344720 381960 387810 394692 400320 407424 413664 442437 458352 465372 480384 493365 509280 517080 526256 535680 551552 572940 581715 589916 592038 600480 611136 620496 657820 679040 689440 737395 763920 775620 789384 800640 827328 884874 888057 916704 930744 986730 1018560 1034160 1052512 1125721 1145880 1163430 1179832 1184076 1200960 1222272 1240992 1315640 1327311 1378880 1474790 1480095 1527840 1551240 1578768 1654656 1769748 1776114 1833408 1861488 1973460 2037120 2068320 2105024 2212185 2251442 2291760 2326860 2359664 2368152 2401920 2481984 2631280 2654622 2757760 2949580 2960190 3055680 3102480 3157536 3377163 3539496 3552228 3666816 3722976 3946920 3981933 4136640 4210048 4424370 4440285 4502884 4571849 4583520 4653720 4719328 4736304 4963968 5262560 5309244 5628605 5899160 5920380 6111360 6204960 6315072 6636555 6754326 7078992 7104456 7445952 7893840 7963866 8273280 8848740 8880570 9005768 9143698 9167040 9307440 9438656 9472608 10131489 10525120 10618488 11257210 11798320 11840760 12409920 12630144 13273110 13508652 13715547 14157984 14208912 14891904 15787680 15927732 16885815 17697480 17761140 18011536 18287396 18334080 18614880 18877312 18945216 19909665 20262978 21050240 21236976 22514420 22859245 23596640 23681520 24819840 26546220 27017304 27431094 28315968 28417824 30394467 31575360 31855464 33771630 34897351 35394960 35522280 36023072 36574792 37229760 37890432 39819330 40525956 41146641 42473952 45028840 45718490 47193280 47363040 50657445 53092440 54034608 54862188 56631936 56835648 60788934 63150720 63710928 67543260 68577735 69794702 70789920 71044560 72046144 73149584 74459520 79638660 81051912 82293282 84947904 90057680 91436980 94386560 94726080 101314890 104692053 106184880 108069216 109724376 113671296 121577868 123439923 127421856 135086520 137155470 139589404 141579840 142089120 144092288 146299168 151972335 156475219 159277320 162103824 164586564 169895808 174486755 180115360 182873960 189452160 202629780 205733205 209384106 212369760 216138432 219448752 243155736 246879846 254843712 270173040 274310940 279178808 283159680 284178240 292598336 303944670 312950438 314076159 318554640 324207648 329173128 348973510 360230720 365747920 405259560 411466410 418768212 424739520 432276864 438897504 469425657 486311472 493759692 509687424 523460265 540346080 548621880 558357616 568356480 585196672 607889340 617199615 625900876 628152318 637109280 648415296 658346256 697947020 720461440 731495840 782376095 810519120 822932820 837536424 849479040 877795008 938851314 942228477 972622944 987519384 1046920530 1080692160 1097243760 1116715232 1215778680 1234399230 1251801752 1256304636 1274218560 1296830592 1316692512 1395894040 1408276971 1462991680 1564752190 1570380795 1621038240 1645865640 1675072848 1755590016 1877702628 1884456954 1945245888 1975038768 2093841060 2161384320 2194487520 2233430464 2347128285 2431557360 2468798460 2503603504 2512609272 2548437120 2633385024 2791788080 2816553942 2925983360 3129504380 3140761590 3242076480 3291731280 3350145696 3755405256 3768913908 3890491776 3950077536 4187682120 4224830913 4388975040 4466860928 4694256570 4711142385 4850731789 4863114720 4937596920 5007207008 5025218544 5266770048 5583576160 5633107884 6259008760 6281523180 6484152960 6583462560 6700291392 7041384855 7510810512 7537827816 7900155072 8375364240 8449661826 8777950080 9388513140 9422284770 9701463578 9726229440 9875193840 10014414016 10050437088 11167152320 11266215768 12518017520 12563046360 13166925120 13400582784 14082769710 14552195367 15021621024 15075655632 15800310144 16750728480 16899323652 18777026280 18844569540 19402927156 19452458880 19750387680 20028828032 20100874176 21124154565 22334304640 22532431536 24253658945 25036035040 25126092720 26333850240 28165539420 29104390734 30043242048 30151311264 33501456960 33798647304 37554052560 37689139080 38805854312 39500775360 40201748352 42248309130 43656586101 45064863072 48507317890 50072070080 50252185440 56331078840 58208781468 60086484096 60302622528 67002913920 67597294608 72760976835 75108105120 75378278160 77611708624 79001550720 84496618260 87313172202 90129726144 97014635780 100144140160 100504370880 112662157680 116417562936 120605245056 130969758303 135194589216 145521953670 150216210240 150756556320 155223417248 168993236520 174626344404 180259452288 194029271560 201008741760 218282930505 225324315360 232835125872 261939516606 270389178432 291043907340 300432420480 301513112640 310446834496 337986473040 349252688808 388058543120 436565861010 450648630720 465670251744 523879033212 540778356864 582087814680 603026225280 620893668992 654848791515 675972946080 698505377616 776117086240 873131722020 901297261440 931340503488 1047758066424 1164175629360 1309697583030 1351945892160 1397010755232 1552234172480 1746263444040 1862681006976 2095516132848 2328351258720 2619395166060 2703891784320 2794021510464 3104468344960 3492526888080 4191032265696 4656702517440 5238790332120 5588043020928 6985053776160 8382064531392 9313405034880 10477580664240 13970107552320 16764129062784 20955161328480 27940215104640 41910322656960 83820645313920
- Sum of all divisors σ(n): 308936855808000
- Sum of proper divisors (its aliquot sum) s(n): 225116210494080
- 83820645313920 is an abundant number, because the sum of its proper divisors (225116210494080) is greater than itself. Its abundance is 141295565180160
Bases of 83820645313920
- Binary: 100110000111100000000111100100111101101100000002
- Hexadecimal: 0x4C3C03C9ED80
- Base-36: TPMO819C0
Squares and roots of 83820645313920
- 83820645313920 squared (838206453139202) is 7025900580841978855345766400
- 83820645313920 cubed (838206453139203) is 588915520597620021069357839937470988288000
-
The
square root of 83820645313920 is 9155361.5610701033 -
The
cube root of 83820645313920 is 43763.9990577875
Scales and comparisons
How big is 83820645313920?- 83,820,645,313,920 seconds is equal to 2,665,237 years, 12 weeks, 5 days, 19 hours, 12 minutes.
-
To count from 1 to 83,820,645,313,920 would take you about six million, six hundred sixty-three thousand and ninety-three 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 83820645313920 cubic inches would be around 3647 feet tall.
Recreational maths with 83820645313920
- 83820645313920 backwards is 02931354602838
- 83820645313920 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 83820645313920's digits is 54
- More coming soon!
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 83820645313920 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 83820645313920 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/83820645313920/
Chicago style:
Numbermatics. 2024. "Number 83820645313920 - Facts about the integer". https://numbermatics.com/n/83820645313920/
The information we have on file for 83820645313920 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 83820645313920, math, Factors of 83820645313920, curriculum, school, college, exams, university, Prime factorization of 83820645313920, STEM, science, technology, engineering, physics, economics, calculator, eighty-three trillion, eight hundred twenty billion, six hundred forty-five million, three hundred thirteen thousand, nine hundred twenty.