3982142435617920
3,982,142,435,617,920 is an even composite number composed of eight prime numbers multiplied together.
What does the number 3982142435617920 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1024 divisors.
3982142435617920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 3982142435617920:
27 × 3 × 5 × 7 × 61 × 83 × 127 × 460793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 61 × 83 × 127 × 460793)See below for interesting mathematical facts about the number 3982142435617920 from the Numbermatics database.
Names of 3982142435617920
- Cardinal: 3982142435617920 can be written as Three quadrillion, nine hundred eighty-two trillion, one hundred forty-two billion, four hundred thirty-five million, six hundred seventeen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 3.98214243561792 × 1015
Factors of 3982142435617920
Divisors of 3982142435617920
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 61 64 70 80 83 84 96 105 112 120 122 127 128 140 160 166 168 183 192 210 224 240 244 249 254 280 305 320 332 336 366 381 384 415 420 427 448 480 488 498 508 560 581 610 635 640 664 672 732 762 830 840 854 889 896 915 960 976 996 1016 1120 1162 1220 1245 1270 1281 1328 1344 1464 1524 1660 1680 1708 1743 1778 1830 1905 1920 1952 1992 2032 2135 2240 2324 2440 2490 2540 2562 2656 2667 2688 2905 2928 3048 3320 3360 3416 3486 3556 3660 3810 3904 3984 4064 4270 4445 4480 4648 4880 4980 5063 5080 5124 5312 5334 5810 5856 6096 6405 6640 6720 6832 6972 7112 7320 7620 7747 7808 7968 8128 8540 8715 8890 9296 9760 9960 10126 10160 10248 10541 10624 10668 11620 11712 12192 12810 13280 13335 13440 13664 13944 14224 14640 15189 15240 15494 15936 16256 17080 17430 17780 18592 19520 19920 20252 20320 20496 21082 21336 23240 23241 23424 24384 25315 25620 26560 26670 27328 27888 28448 29280 30378 30480 30988 31623 31872 34160 34860 35441 35560 37184 38735 39040 39840 40504 40640 40992 42164 42672 46480 46482 48768 50630 51240 52705 53120 53340 54229 54656 55776 56896 58560 60756 60960 61976 63246 68320 69720 70882 71120 73787 74368 75945 77470 79680 81008 81280 81984 84328 85344 92960 92964 101260 102480 105410 106323 106680 108458 111552 113792 116205 117120 121512 121920 123952 126492 136640 139440 141764 142240 147574 151890 154940 158115 159360 162016 162687 163968 168656 170688 177205 185920 185928 202520 204960 210820 212646 213360 216916 221361 223104 232410 243024 243840 247904 252984 271145 273280 278880 283528 284480 295148 303780 309880 316230 324032 325374 337312 341376 354410 368935 371840 371856 405040 409920 421640 425292 426720 433832 442722 460793 464820 486048 495808 505968 531615 542290 557760 567056 568960 590296 607560 619760 632460 643001 648064 650748 674624 708820 737870 743712 810080 813435 819840 843280 850584 853440 867664 885444 921586 929640 972096 991616 1011936 1063230 1084580 1106805 1115520 1134112 1180592 1215120 1239520 1264920 1286002 1301496 1349248 1382379 1417640 1475740 1487424 1620160 1626870 1686560 1701168 1706880 1735328 1770888 1843172 1859280 1929003 1944192 2023872 2126460 2169160 2213610 2268224 2303965 2361184 2430240 2479040 2529840 2572004 2602992 2764758 2835280 2951480 2974848 3215005 3225551 3240320 3253740 3373120 3402336 3470656 3541776 3686344 3718560 3858006 4047744 4252920 4338320 4427220 4501007 4536448 4607930 4722368 4860480 4958080 5059680 5144008 5205984 5529516 5670560 5902960 6430010 6451102 6507480 6746240 6804672 6911895 6941312 7083552 7372688 7437120 7716012 8505840 8676640 8854440 9002014 9215860 9444736 9645015 9676653 9720960 10119360 10288016 10411968 11059032 11341120 11805920 12860020 12902204 13014960 13503021 13609344 13823790 14167104 14745376 14874240 15432024 16127755 17011680 17353280 17708880 18004028 18431720 19290030 19353306 20238720 20576032 20823936 22118064 22505035 22682240 23611840 25720040 25804408 26029920 27006042 27647580 28108373 28334208 29490752 30864048 32255510 34023360 34706560 35417760 36008056 36863440 38245819 38580060 38706612 41152064 44236128 45010070 47223680 48383265 51440080 51608816 52059840 54012084 55295160 56216746 58520711 58981504 61728096 64511020 67515105 68046720 70835520 72016112 73726880 76491638 77160120 77413224 82304128 84325119 88472256 90020140 96766530 102880160 103217632 104119680 108024168 110590320 112433492 114737457 117041422 123456192 129022040 135030210 140541865 141671040 144032224 147453760 152983276 154320240 154826448 168650238 175562133 176944512 180040280 191229095 193533060 196758611 205760320 206435264 216048336 221180640 224866984 229474914 234082844 246912384 258044080 267720733 270060420 281083730 288064448 292603555 294907520 305966552 308640480 309652896 337300476 351124266 360080560 382458190 387066120 393517222 409644977 411520640 412870528 421625595 432096672 442361280 449733968 458949828 468165688 516088160 535441466 540120840 562167460 573687285 576128896 585207110 590275833 611933104 617280960 619305792 674600952 702248532 720161120 764916380 774132240 787034444 803162199 819289954 843251190 864193344 877810665 884722560 899467936 917899656 936331376 983793055 1032176320 1070882932 1080241680 1124334920 1147374570 1170414220 1180551666 1223866208 1228934931 1234561920 1238611584 1338603665 1349201904 1404497064 1440322240 1529832760 1548264480 1574068888 1606324398 1638579908 1686502380 1728386688 1755621330 1798935872 1835799312 1872662752 1967586110 2048224885 2064352640 2141765864 2160483360 2248669840 2294749140 2332994959 2340828440 2361103332 2447732416 2457869862 2677207330 2698403808 2808994128 2880644480 2951379165 3059665520 3096528960 3148137776 3212648796 3277159816 3373004760 3511242660 3569763371 3597871744 3671598624 3745325504 3935172220 4015810995 4096449770 4283531728 4320966720 4497339680 4589498280 4665989918 4681656880 4722206664 4857219013 4895464832 4915739724 5354414660 5396807616 5617988256 5902758330 6119331040 6144674655 6193057920 6296275552 6425297592 6554319632 6746009520 6998984877 7022485320 7139526742 7343197248 7490651008 7870344440 8031621990 8192899540 8567063456 8641933440 8994679360 9178996560 9331979836 9363313760 9444413328 9714438026 9831479448 10708829320 10709290113 10793615232 11235976512 11664974795 11805516660 12238662080 12289349310 12592551104 12850595184 13108639264 13492019040 13997969754 14044970640 14279053484 14571657039 14686394496 15740688880 16063243980 16330964713 16385799080 17134126912 17848816855 17989358720 18357993120 18663959672 18726627520 18888826656 19428876052 19662958896 21417658640 21418580226 22471953024 23329949590 23611033320 24286095065 24477324160 24578698620 24988343597 25185102208 25701190368 26217278528 26984038080 27995939508 28089941280 28558106968 29143314078 31481377760 32126487960 32661929426 32771598160 34000533091 34268253824 34994924385 35697633710 36715986240 37327919344 37453255040 37777653312 38857752104 39325917792 42835317280 42837160452 46659899180 47222066640 48572190130 48992894139 49157397240 49976687194 51402380736 52434557056 53546450565 53968076160 55991879016 56179882560 57116213936 58286628156 62962755520 64252975920 65323858852 65543196320 68001066182 69989848770 71395267420 72858285195 73431972480 74655838688 74965030791 75555306624 77715504208 78651835584 81654823565 85670634560 85674320904 93319798360 94444133280 97144380260 97985788278 98314794480 99953374388 102001599273 102804761472 107092901130 111983758032 112359765120 114232427872 116573256312 124941717985 125925511040 128505951840 130647717704 131086392640 136002132364 139979697540 142790534840 145716570390 149311677376 149930061582 155431008416 157303671168 163309647130 170002665455 171341269120 171348641808 186639596720 188888266560 194288760520 195971576556 196629588960 199906748776 204003198546 214185802260 223967516064 228464855744 233146512624 244964470695 249883435970 257011903680 261295435408 262172785280 272004264728 279959395080 285581069680 291433140780 296290359793 298623354752 299860123164 310862016832 326619294260 340005330910 342697283616 373279193440 374825153955 377776533120 388577521040 391943153112 393259177920 399813497552 408006397092 428371604520 447935032128 456929711488 466293025248 489928941390 499766871940 510007996365 514023807360 522590870816 544008529456 559918790160 571162139360 582866281560 592580719586 599720246328 621724033664 653238588520 680010661820 685394567232 746558386880 749650307910 777155042080 783886306224 786518355840 799626995104 816012794184 856743209040 888871079379 895870064256 932586050496 979857882780 999533743880 1020015992730 1045181741632 1088017058912 1119837580320 1142324278720 1165732563120 1185161439172 1199440492656 1306477177040 1360021323640 1370789134464 1481451798965 1493116773760 1499300615820 1554310084160 1567772612448 1599253990208 1632025588368 1713486418080 1777742158758 1865172100992 1959715765560 1999067487760 2040031985460 2074032518551 2090363483264 2176034117824 2239675160640 2284648557440 2331465126240 2370322878344 2398880985312 2612954354080 2720042647280 2962903597930 2998601231640 3108620168320 3135545224896 3198507980416 3264051176736 3426972836160 3555484317516 3919431531120 3998134975520 4080063970920 4148065037102 4352068235648 4444355396895 4479350321280 4662930252480 4740645756688 4797761970624 5225908708160 5440085294560 5925807195860 5997202463280 6222097555653 6271090449792 6528102353472 6853945672320 7110968635032 7838863062240 7996269951040 8160127941840 8296130074204 8888710793790 9325860504960 9481291513376 9595523941248 10370162592755 10451817416320 10880170589120 11851614391720 11994404926560 12444195111306 13056204706944 14221937270064 15677726124480 15992539902080 16320255883680 16592260148408 17777421587580 18962583026752 20740325185510 21760341178240 23703228783440 23988809853120 24888390222612 28443874540128 31110487778265 31355452248960 32640511767360 33184520296816 35554843175160 37925166053504 41480650371020 47406457566880 47977619706240 49776780445224 56887749080256 62220975556530 65281023534720 66369040593632 71109686350320 82961300742040 94812915133760 99553560890448 113775498160512 124441951113060 132738081187264 142219372700640 165922601484080 189625830267520 199107121780896 248883902226120 265476162374528 284438745401280 331845202968160 398214243561792 497767804452240 568877490802560 663690405936320 796428487123584 995535608904480 1327380811872640 1991071217808960 3982142435617920
- Sum of all divisors σ(n): 15039353579765760
- Sum of proper divisors (its aliquot sum) s(n): 11057211144147840
- 3982142435617920 is an abundant number, because the sum of its proper divisors (11057211144147840) is greater than itself. Its abundance is 7075068708529920
Bases of 3982142435617920
- Binary: 11100010010110111100110010010101000111101100100000002
- Hexadecimal: 0xE25BCC951EC80
- Base-36: 137JUZAANPC
Squares and roots of 3982142435617920
- 3982142435617920 squared (39821424356179202) is 15857458377549020132252225126400
- 3982142435617920 cubed (39821424356179203) is 63146657926282845041965988319131973734105088000
-
The
square root of 3982142435617920 is 63104218.8416742861 -
The
cube root of 3982142435617920 is 158503.5268165789
Scales and comparisons
How big is 3982142435617920?- 3,982,142,435,617,920 seconds is equal to 126,619,811 years, 45 weeks, 4 days, 8 hours, 32 minutes.
-
To count from 1 to 3,982,142,435,617,920 would take you about three hundred seventy-nine million, eight hundred fifty-nine thousand, four hundred thirty-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 3982142435617920 cubic inches would be around 13208.6 feet tall.
Recreational maths with 3982142435617920
- 3982142435617920 backwards is 0297165342412893
- The number of decimal digits it has is: 16
- The sum of 3982142435617920's digits is 66
- More coming soon!
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The information we have on file for 3982142435617920 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!
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