42145827880104000
42,145,827,880,104,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42145827880104000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1792 divisors.
42145827880104000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 42145827880104000:
26 × 33 × 53 × 13 × 37 × 439 × 924041
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 37 × 439 × 924041)See below for interesting mathematical facts about the number 42145827880104000 from the Numbermatics database.
Names of 42145827880104000
- Cardinal: 42145827880104000 can be written as Forty-two quadrillion, one hundred forty-five trillion, eight hundred twenty-seven billion, eight hundred eighty million, one hundred four thousand.
Scientific notation
- Scientific notation: 4.2145827880104 × 1016
Factors of 42145827880104000
Divisors of 42145827880104000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 37 39 40 45 48 50 52 54 60 64 65 72 74 75 78 80 90 96 100 104 108 111 117 120 125 130 135 144 148 150 156 160 180 185 192 195 200 208 216 222 225 234 240 250 260 270 288 296 300 312 320 325 333 351 360 370 375 390 400 416 432 439 444 450 468 480 481 500 520 540 555 576 585 592 600 624 650 666 675 702 720 740 750 780 800 832 864 878 888 900 925 936 960 962 975 999 1000 1040 1080 1110 1125 1170 1184 1200 1248 1300 1317 1332 1350 1404 1440 1443 1480 1500 1560 1600 1625 1665 1728 1755 1756 1776 1800 1850 1872 1924 1950 1998 2000 2080 2160 2195 2220 2250 2340 2368 2400 2405 2496 2600 2634 2664 2700 2775 2808 2880 2886 2925 2960 3000 3120 3250 3330 3375 3510 3512 3552 3600 3700 3744 3848 3900 3951 3996 4000 4160 4320 4329 4390 4440 4500 4625 4680 4800 4810 4875 4995 5200 5268 5328 5400 5550 5616 5707 5772 5850 5920 6000 6240 6500 6585 6660 6750 7020 7024 7104 7200 7215 7400 7488 7696 7800 7902 7992 8000 8325 8640 8658 8775 8780 8880 9000 9250 9360 9620 9750 9990 10400 10536 10656 10800 10975 11100 11232 11414 11544 11700 11840 11853 12000 12025 12480 12987 13000 13170 13320 13500 13875 14040 14048 14400 14430 14625 14800 15392 15600 15804 15984 16243 16650 17121 17316 17550 17560 17760 18000 18500 18720 19240 19500 19755 19980 20800 21072 21312 21600 21645 21950 22200 22464 22828 23088 23400 23706 24000 24050 24975 25974 26000 26340 26640 27000 27750 28080 28096 28535 28860 29250 29600 30784 31200 31608 31968 32486 32925 33300 34242 34632 35100 35120 35520 36000 36075 37000 37440 38480 39000 39510 39960 41625 42144 43200 43290 43875 43900 44400 45656 46176 46800 47412 48100 48729 49950 51363 51948 52000 52680 53280 54000 54875 55500 56160 57070 57720 58500 59200 59265 60125 62400 63216 63936 64935 64972 65850 66600 68484 69264 70200 70240 72000 72150 74000 76960 78000 79020 79920 81215 83250 84288 85605 86580 87750 87800 88800 91312 92352 93600 94824 96200 97458 98775 99900 102726 103896 104000 105360 106560 108000 108225 109750 111000 112320 114140 115440 117000 118530 120250 124875 126432 129870 129944 131700 133200 136968 138528 140400 140480 142675 144300 146187 148000 153920 154089 156000 158040 159840 162430 164625 166500 171210 173160 175500 175600 177600 180375 182624 187200 189648 192400 194916 197550 199800 205452 207792 210720 211159 216000 216450 219500 222000 228280 230880 234000 237060 240500 243645 249750 252864 256815 259740 259888 263400 266400 273936 277056 280800 285350 288600 292374 296000 296325 308178 312000 316080 319680 324675 324860 329250 333000 342420 346320 351000 351200 360750 365248 379296 384800 389832 395100 399600 406075 410904 415584 421440 422318 428025 432900 438561 439000 444000 456560 461760 468000 474120 481000 487290 493875 499500 513630 519480 519776 526800 532800 541125 547872 561600 570700 577200 584748 592650 616356 632160 633477 649350 649720 658500 666000 684840 692640 702000 702400 713375 721500 730935 758592 769600 770445 779664 790200 799200 812150 821808 831168 844636 856050 865800 877122 878000 888000 913120 924041 936000 948240 962000 974580 987750 999000 1027260 1038960 1039552 1053600 1055795 1082250 1095744 1141400 1154400 1169496 1185300 1218225 1232712 1264320 1266954 1284075 1298700 1299440 1317000 1332000 1369680 1385280 1404000 1426750 1443000 1461870 1481625 1540890 1559328 1580400 1598400 1623375 1624300 1643616 1689272 1712100 1731600 1754244 1756000 1826240 1848082 1896480 1900431 1924000 1949160 1975500 1998000 2030375 2054520 2077920 2107200 2111590 2140125 2164500 2192805 2282800 2308800 2338992 2370600 2436450 2465424 2533908 2568150 2597400 2598880 2634000 2664000 2739360 2772123 2808000 2853500 2886000 2923740 2963250 3081780 3118656 3160800 3167385 3246750 3248600 3287232 3378544 3424200 3463200 3508488 3512000 3654675 3696164 3792960 3800862 3848000 3852225 3898320 3951000 3996000 4060750 4109040 4155840 4223180 4280250 4329000 4385610 4565600 4620205 4677984 4741200 4872900 4930848 5067816 5136300 5194800 5197760 5268000 5278975 5478720 5544246 5701293 5707000 5772000 5847480 5926500 6091125 6163560 6321600 6334770 6420375 6493500 6497200 6757088 6848400 6926400 7016976 7309350 7392328 7601724 7704450 7796640 7902000 7992000 8121500 8218080 8316369 8446360 8560500 8658000 8771220 9131200 9240410 9355968 9482400 9502155 9745800 9861696 10135632 10272600 10389600 10536000 10557950 10964025 11088492 11402586 11414000 11544000 11694960 11853000 12012533 12182250 12327120 12669540 12840750 12987000 12994400 13514176 13696800 13860615 14033952 14618700 14784656 15203448 15408900 15593280 15804000 15836925 16243000 16436160 16632738 16892720 17121000 17316000 17542440 18273375 18480820 18964800 19004310 19261125 19491600 20271264 20545200 20779200 21115900 21928050 22176984 22805172 22828000 23101025 23389920 23706000 24025066 24364500 24654240 24949107 25339080 25681500 25974000 25988800 26394875 27393600 27721230 28067904 28506465 29237400 29569312 30406896 30817800 31608000 31673850 32486000 33265476 33785440 34189517 34242000 34632000 35084880 36037599 36546750 36961640 38008620 38522250 38983200 40542528 41090400 41581845 42231800 43856100 44353968 45610344 45656000 46202050 46779840 47412000 47510775 48050132 48729000 49308480 49898214 50678160 51363000 51948000 52789750 54820125 55442460 57012930 58474800 59138624 60062665 60813792 61635600 63347700 64972000 66530952 67570880 68379034 68484000 69303075 70169760 72075198 73093500 73923280 76017240 77044500 77966400 79184625 82180800 83163690 84463600 87712200 88707936 91220688 92404100 94824000 95021550 96100264 97458000 99796428 101356320 102568551 102726000 103896000 105579500 108112797 109640250 110884920 114025860 115505125 116949600 120125330 121627584 123271200 124745535 126695400 129944000 133061904 136758068 136968000 138606150 140339520 142532325 144150396 146187000 147846560 152034480 154089000 158369250 166327380 168927200 170947585 175424400 177415872 180187995 182441376 184808200 190043100 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1013563200 1025685510 1039546125 1081127970 1094064544 1108849200 1140258600 1153203168 1169496000 1201253300 1216961997 1230822612 1232712000 1247455350 1266954000 1297353564 1330619040 1333391163 1367580680 1386061500 1425323250 1441503960 1478465600 1501566625 1520344800 1538528265 1596742848 1621691955 1622615996 1641096816 1663273800 1689272000 1709475850 1729804752 1754244000 1777854884 1801879950 1824413760 1846233918 1848082000 1900431000 1922005280 1995928560 2028269995 2051371020 2079092250 2162255940 2188129088 2217698400 2222318605 2280517200 2306406336 2402506600 2433923994 2461645224 2494910700 2533908000 2564213775 2594707128 2661238080 2666782326 2702819925 2735161360 2772123000 2850646500 2883007920 3003133250 3040689600 3077056530 3118638375 3243383910 3245231992 3282193632 3326547600 3418951700 3459609504 3508488000 3555709768 3603759900 3650885991 3692467836 3696164000 3800862000 3844010560 3991857120 4000173489 4056539990 4102742040 4158184500 4273689625 4324511880 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54056398500 54703227200 54763289865 55557965125 57660158400 58414175856 59079485376 60002602335 60036791852 60848099850 61541130600 63282023844 64002775824 64867678200 64904639840 66530952000 66669558150 68379034000 71114195360 72075198000 73017719820 73849356720 75045989815 76926413250 77885567808 79102529805 80003469780 81084597750 81130799800 82054840800 84376031792 85337034432 86490237600 87621263784 88892744200 90055187778 91272149775 92311695900 94923035766 96004163736 96100264000 97356959760 98465808960 99796428000 100004337225 101413499750 102568551000 103788285120 105470039740 106671293040 108112797000 109526579730 111115930250 115389619875 116828351712 120005204670 120073583704 121696199700 123082261200 126564047688 128005551648 129735356400 129809279680 131837549675 133339116300 135082781667 136758068000 142228390720 142384553649 144150396000 146035439640 147698713440 150091979630 152120249625 153852826500 158205059610 160006939560 162169195500 162261599600 164109681600 166673895375 168752063584 172980475200 175242527568 177785488400 180110375556 182544299550 184623391800 189846071532 192008327472 194713919520 195119573519 199592856000 200008674450 202826999500 205137102000 210940079480 213342586080 216225594000 219053159460 222231860500 225137969445 230779239750 233656703424 237307589415 240010409340 240147167408 243392399400 246164522400 253128095376 256011103296 259470712800 263675099350 266678232600 270165563334 273516136000 273816449325 284769107298 288300792000 292070879280 295397426880 300013011675 300183959260 304240499250 307705653000 316410119220 320013879120 324338391000 324523199200 333347790750 337504127168 350485055136 355570976800 360220751112 365088599100 369246783600 375229949075 379692143064 384016654944 389427839040 390239147038 395512649025 400017348900 405248345001 405653999000 410274204000 421880158960 426685172160 432451188000 438106318920 444463721000 450275938890 456360748875 461558479500 474615178830 480020818680 480294334816 486784798800 492329044800 500021686125 506256190752 518941425600 527350198700 533356465200 540331126668 547632898650 569538214596 584141758560 585358720557 600026023350 600367918520 608480998500 615411306000 632820238440 640027758240 648676782000 649046398400 659187748375 666695581500 675413908335 700970110272 711141953600 711922768245 720441502224 730177198200 738493567200 750459898150 759384286128 768033309888 780478294076 791025298050 800034697800 810496690002 811307998000 820548408000 843760317920 864902376000 876212637840 888927442000 900551877780 912721497750 923116959000 949230357660 960041637360 960588669632 973569597600 975597867595 1000043372250 1012512381504 1054700397400 1066712930400 1080662253336 1095265797300 1125689847225 1139076429192 1168283517120 1170717441114 1186537947075 1200052046700 1200735837040 1216961997000 1230822612000 1265640476880 1280055516480 1297353564000 1318375496750 1333391163000 1350827816670 1369082246625 1423845536490 1440883004448 1460354396400 1476987134400 1500065058375 1500919796300 1518768572256 1560956588152 1582050596100 1600069395600 1620993380004 1622615996000 1687520635840 1752425275680 1756076161671 1777854884000 1801103755560 1825442995500 1846233918000 1876149745375 1898460715320 1920083274720 1947139195200 1951195735190 1977563245125 2000086744500 2026241725005 2109400794800 2133425860800 2161324506672 2190531594600 2251379694450 2278152858384 2341434882228 2373075894150 2400104093400 2401471674080 2433923994000 2461645224000 2531280953760 2594707128000 2636750993500 2666782326000 2701655633340 2738164493250 2847691072980 2881766008896 2920708792800 2926793602785 3000130116750 3001839592600 3037537144512 3121913176304 3164101192200 3200138791200 3241986760008 3245231992000 3377069541675 3504850551360 3512152323342 3555709768000 3559613841225 3602207511120 3650885991000 3692467836000 3752299490750 3796921430640 3840166549440 3902391470380 3955126490250 4000173489000 4052483450010 4218801589600 4322649013344 4381063189200 4502759388900 4556305716768 4682869764456 4746151788300 4800208186800 4802943348160 4867847988000 4877989337975 5062561907520 5268228485013 5273501987000 5333564652000 5403311266680 5476328986500 5628449236125 5695382145960 5841417585600 5853587205570 5932689735375 6000260233500 6003679185200 6243826352608 6328202384400 6400277582400 6483973520016 6754139083350 7024304646684 7119227682450 7204415022240 7301771982000 7384935672000 7504598981500 7593842861280 7804782940760 7910252980500 8000346978000 8104966900020 8437603179200 8645298026688 8762126378400 8780380808355 9005518777800 9112611433536 9365739528912 9492303576600 9600416373600 9735695976000 9755978675950 10131208625025 10536456970026 10547003974000 10667129304000 10806622533360 10952657973000 11256898472250 11390764291920 11707174411140 11865379470750 12000520467000 12007358370400 12487652705216 12656404768800 12967947040032 13508278166700 14048609293368 14238455364900 14408830044480 14603543964000 14633968013925 15009197963000 15187685722560 15609565881520 15820505961000 16000693956000 16209933800040 16885347708375 17524252756800 17560761616710 17798069206125 18011037555600 18731479057824 18984607153200 19200832747200 19511957351900 20262417250050 21072913940052 21094007948000 21613245066720 21905315946000 22513796944500 22781528583840 23414348822280 23730758941500 24001040934000 24014716740800 24389946689875 25312809537600 25935894080064 26341142425065 27016556333400 28097218586736 28476910729800 29207087928000 29267936027850 30018395926000 31219131763040 31641011922000 32001387912000 32419867600080 33770695416750 35121523233420 35596138412250 36022075111200 37462958115648 37969214306400 39023914703800 40524834500100 42145827880104 42188015896000 43226490133440 43810631892000 43901904041775 45027593889000 45563057167680 46828697644560 47461517883000 48002081868000 48779893379750 50656043125125 52682284850130 54033112666800 56194437173472 56953821459600 58535872055700 60036791852000 62438263526080 63282023844000 64839735200160 67541390833500 70243046466840 71192276824500 72044150222400 73169840069625 75938428612800 78047829407600 81049669000200 84291655760208 87621263784000 87803808083550 90055187778000 93657395289120 94923035766000 96004163736000 97559786759500 101312086250250 105364569700260 108066225333600 112388874346944 113907642919200 117071744111400 120073583704000 126564047688000 129679470400320 131705712125325 135082781667000 140486092933680 142384553649000 146339680139250 156095658815200 162099338000400 168583311520416 175607616167100 180110375556000 187314790578240 189846071532000 195119573519000 202624172500500 210729139400520 216132450667200 219509520208875 227815285838400 234143488222800 263411424250650 270165563334000 280972185867360 284769107298000 292679360278500 312191317630400 324198676000800 337166623040832 351215232334200 360220751112000 379692143064000 390239147038000 405248345001000 421458278801040 439019040417750 468286976445600 526822848501300 540331126668000 561944371734720 569538214596000 585358720557000 648397352001600 658528560626625 702430464668400 780478294076000 810496690002000 842916557602080 878038080835500 936573952891200 1053645697002600 1080662253336000 1139076429192000 1170717441114000 1317057121253250 1404860929336800 1560956588152000 1620993380004000 1685833115204160 1756076161671000 2107291394005200 2341434882228000 2634114242506500 2809721858673600 3241986760008000 3512152323342000 4214582788010400 4682869764456000 5268228485013000 7024304646684000 8429165576020800 10536456970026000 14048609293368000 21072913940052000 42145827880104000
- Sum of all divisors σ(n): 171413226957772800
- Sum of proper divisors (its aliquot sum) s(n): 129267399077668800
- 42145827880104000 is an abundant number, because the sum of its proper divisors (129267399077668800) is greater than itself. Its abundance is 87121571197564800
Bases of 42145827880104000
- Binary: 100101011011101101101000001110111000111011110000010000002
- Hexadecimal: 0x95BB683B8EF040
- Base-36: BIZG61ES9C0
Squares and roots of 42145827880104000
- 42145827880104000 squared (421458278801040002) is 1776270807699351626599050816000000
- 42145827880104000 cubed (421458278801040003) is 74862403729750184606242358031675851364864000000000
-
The
square root of 42145827880104000 is 205294490.6228708321 -
The
cube root of 42145827880104000 is 348004.5026284247
Scales and comparisons
How big is 42145827880104000?- 42,145,827,880,104,000 seconds is equal to 1,340,106,960 years, 51 weeks, 12 hours.
-
To count from 1 to 42,145,827,880,104,000 would take you about four billion, twenty million, three hundred twenty thousand, eight hundred eighty-two 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 42145827880104000 cubic inches would be around 29000.4 feet tall.
Recreational maths with 42145827880104000
- 42145827880104000 backwards is 00040108872854124
- 42145827880104000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42145827880104000's digits is 54
- More coming soon!
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MLA style:
"Number 42145827880104000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 42145827880104000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/42145827880104000/
Chicago style:
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The information we have on file for 42145827880104000 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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