42204660794984872800
42,204,660,794,984,872,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42204660794984872800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
42204660794984872800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 42204660794984872800:
25 × 32 × 52 × 7 × 11 × 19 × 4006670159773
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 11 × 19 × 4006670159773)See below for interesting mathematical facts about the number 42204660794984872800 from the Numbermatics database.
Names of 42204660794984872800
- Cardinal: 42204660794984872800 can be written as Forty-two quintillion, two hundred four quadrillion, six hundred sixty trillion, seven hundred ninety-four billion, nine hundred eighty-four million, eight hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 4.22046607949848728 × 1019
Factors of 42204660794984872800
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 4006670159820
Divisors of 42204660794984872800
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 19 20 21 22 24 25 28 30 32 33 35 36 38 40 42 44 45 48 50 55 56 57 60 63 66 70 72 75 76 77 80 84 88 90 95 96 99 100 105 110 112 114 120 126 132 133 140 144 150 152 154 160 165 168 171 175 176 180 190 198 200 209 210 220 224 225 228 231 240 252 264 266 275 280 285 288 300 304 308 315 330 336 342 350 352 360 380 385 396 399 400 418 420 440 450 456 462 475 480 495 504 525 528 532 550 560 570 600 608 616 627 630 660 665 672 684 693 700 720 760 770 792 798 800 825 836 840 855 880 900 912 924 950 990 1008 1045 1050 1056 1064 1100 1120 1140 1155 1197 1200 1232 1254 1260 1320 1330 1368 1386 1400 1425 1440 1463 1520 1540 1575 1584 1596 1650 1672 1680 1710 1760 1800 1824 1848 1881 1900 1925 1980 1995 2016 2090 2100 2128 2200 2280 2310 2394 2400 2464 2475 2508 2520 2640 2660 2736 2772 2800 2850 2926 3040 3080 3135 3150 3168 3192 3300 3325 3344 3360 3420 3465 3600 3696 3762 3800 3850 3960 3990 4180 4200 4256 4275 4389 4400 4560 4620 4788 4950 5016 5040 5225 5280 5320 5472 5544 5600 5700 5775 5852 5985 6160 6270 6300 6384 6600 6650 6688 6840 6930 7200 7315 7392 7524 7600 7700 7920 7980 8360 8400 8550 8778 8800 9120 9240 9405 9576 9900 9975 10032 10080 10450 10640 11088 11400 11550 11704 11970 12320 12540 12600 12768 13167 13200 13300 13680 13860 14630 15048 15200 15400 15675 15840 15960 16720 16800 17100 17325 17556 18480 18810 19152 19800 19950 20064 20900 21280 21945 22176 22800 23100 23408 23940 25080 25200 26334 26400 26600 27360 27720 29260 29925 30096 30800 31350 31920 33440 34200 34650 35112 36575 36960 37620 38304 39600 39900 41800 43890 45600 46200 46816 47025 47880 50160 50400 52668 53200 55440 58520 59850 60192 61600 62700 63840 65835 68400 69300 70224 73150 75240 79200 79800 83600 87780 92400 94050 95760 100320 105336 106400 109725 110880 117040 119700 125400 131670 136800 138600 140448 146300 150480 159600 167200 175560 184800 188100 191520 210672 219450 234080 239400 250800 263340 277200 292600 300960 319200 329175 351120 376200 421344 438900 478800 501600 526680 554400 585200 658350 702240 752400 877800 957600 1053360 1170400 1316700 1504800 1755600 2106720 2633400 3511200 5266800 10533600 4006670159773 8013340319546 12020010479319 16026680639092 20033350798865 24040020958638 28046691118411 32053361278184 36060031437957 40066701597730 44073371757503 48080041917276 56093382236822 60100052396595 64106722556368 72120062875914 76126733035687 80133403195460 84140073355233 88146743515006 96160083834552 100166753994325 112186764473644 120200104793190 128213445112736 132220115272509 140233455592055 144240125751828 152253466071374 160266806390920 168280146710466 176293487030012 180300157189785 192320167669104 200333507988650 220366858787515 224373528947288 228380199107061 240400209586380 252420220065699 264440230545018 280466911184110 288480251503656 300500261982975 304506932142748 308513602302521 320533612781840 336560293420932 352586974060024 360600314379570 380633665178435 384640335338208 396660345817527 400667015977300 420700366776165 440733717575030 448747057894576 456760398214122 480800419172760 504840440131398 528880461090036 532887131249809 560933822368220 576960503007312 601000523965950 609013864285496 617027204605042 641067225563680 661100576362545 673120586841864 685140597321183 701167277960275 705173948120048 721200628759140 761267330356870 793320691635054 801334031954600 837394063392557 841400733552330 881467435150060 897494115789152 901500785948925 913520796428244 925540806907563 961600838345520 1009680880262796 1057760922180072 1065774262499618 1101834293937575 1121867644736440 1141900995535305 1153921006014624 1202001047931900 1218027728570992 1234054409210084 1262101100328495 1322201152725090 1346241173683728 1370281194642366 1402334555920550 1410347896240096 1442401257518280 1522534660713740 1542568011512605 1586641383270108 1598661393749427 1602668063909200 1674788126785114 1682801467104660 1762934870300120 1803001571897850 1827041592856488 1851081613815126 1903168325892175 1923201676691040 1983301729087635 2019361760525592 2103501833880825 2115521844360144 2131548524999236 2203668587875150 2243735289472880 2283801991070610 2404002095863800 2436055457141984 2468108818420168 2512182190177671 2524202200656990 2644402305450180 2664435656249045 2692482347367456 2740562389284732 2776622420722689 2804669111841100 2884802515036560 3045069321427480 3085136023025210 3173282766540216 3197322787498854 3205336127818400 3305502881812725 3349576253570228 3365602934209320 3425702986605915 3525869740600240 3606003143795700 3654083185712976 3702163227630252 3806336651784350 3966603458175270 4038723521051184 4186970316962785 4207003667761650 4231043688720288 4263097049998472 4407337175750300 4487470578945760 4567603982141220 4627704034537815 4795984181248281 4808004191727600 4936217636840336 5024364380355342 5048404401313980 5288804610900360 5328871312498090 5481124778569464 5553244841445378 5609338223682200 5709504977676525 5769605030073120 5861758443747899 6090138642854960 6170272046050420 6310505501642475 6346565533080432 6394645574997708 6611005763625450 6699152507140456 6731205868418640 6851405973211830 7051739481200480 7212006287591400 7308166371425952 7404326455260504 7536546570533013 7612673303568700 7712840057563025 7933206916350540 7993306968747135 8077447042102368 8373940633925570 8414007335523300 8526194099996944 8814674351500600 9135207964282440 9255408069075630 9591968362496562 9616008383455200 9872435273680672 9916508645438175 10048728760710684 10096808802627960 10577609221800720 10657742624996180 10962249557138928 11106489682890756 11218676447364400 11419009955353050 11723516887495798 12180277285709920 12340544092100840 12560910950888355 12621011003284950 12693131066160864 12789291149995416 13222011527250900 13322178281245225 13398305014280912 13462411736837280 13702811946423660 13883112103613445 14424012575182800 14808652910521008 15073093141066026 15225346607137400 15425680115126050 15866413832701080 15986613937494270 16747881267851140 16828014671046600 17052388199993888 17128514933029575 17585275331243697 17629348703001200 18270415928564880 18510816138151260 19183936724993124 19833017290876350 20097457521421368 20193617605255920 20934851584813925 21155218443601440 21315485249992360 21924499114277856 22212979365781512 22437352894728800 22838019910706100 23138520172689075 23447033774991596 23979920906241405 24681088184201680 25121821901776710 25242022006569900 25578582299990832 26444023054501800 26644356562490450 26796610028561824 27405623892847320 27766224207226890 28848025150365600 29308792218739495 29617305821042016 30146186282132052 30450693214274800 30851360230252100 31732827665402160 31973227874988540 33495762535702280 33656029342093200 34257029866059150 35170550662487394 35258697406002400 36540831857129760 37021632276302520 37682732852665065 38367873449986248 39666034581752700 39966534843735675 40194915042842736 40387235210511840 41869703169627850 42630970499984720 44425958731563024 45676039821412200 46277040345378150 46894067549983192 47959841812482810 49362176368403360 50243643803553420 50484044013139800 51157164599981664 52755825993731091 52888046109003600 53288713124980900 54811247785694640 55532448414453780 58617584437478990 60292372564264104 60901386428549600 61702720460504200 62804554754441775 63465655330804320 63946455749977080 66991525071404560 67312058684186400 68514059732118300 69415560518067225 70341101324974788 74043264552605040 75365465705330130 76735746899972496 79332069163505400 79933069687471350 80389830085685472 83739406339255700 85261940999969440 87926376656218485 88851917463126048 91352079642824400 92554080690756300 93788135099966384 95919683624965620 100487287607106840 100968088026279600 105511651987462182 105776092218007200 106577426249961800 109622495571389280 111064896828907560 117235168874957980 119899604531207025 120584745128528208 123405440921008400 125609109508883550 127892911499954160 133983050142809120 137028119464236600 138831121036134450 140682202649949576 146543961093697475 148086529105210080 150730931410660260 153471493799944992 158664138327010800 159866139374942700 167478812678511400 175852753312436970 182704159285648800 185108161381512600 187576270199932768 188413664263325325 191839367249931240 200974575214213680 201936176052559200 211023303974924364 213154852499923600 222129793657815120 234470337749915960 239799209062414050 241169490257056416 246810881842016800 251218219017767100 255785822999908320 263779129968655455 274056238928473200 277662242072268900 281364405299899152 293087922187394950 301461862821320520 317328276654021600 319732278749885400 334957625357022800 351705506624873940 370216322763025200 376827328526650650 383678734499862480 401949150428427360 422046607949848728 426309704999847200 439631883281092425 444259587315630240 468940675499831920 479598418124828100 502436438035534200 527558259937310910 548112477856946400 555324484144537800 562728810599798304 586175844374789900 602923725642641040 639464557499770800 669915250714045600 703411013249747880 740432645526050400 753654657053301300 767357468999724960 844093215899697456 879263766562184850 937881350999663840 959196836249656200 1004872876071068400 1055116519874621820 1110648968289075600 1172351688749579800 1205847451285282080 1278929114999541600 1318895649843277275 1406822026499495760 1507309314106602600 1688186431799394912 1758527533124369700 1918393672499312400 2009745752142136800 2110233039749243640 2221297936578151200 2344703377499159600 2637791299686554550 2813644052998991520 3014618628213205200 3517055066248739400 3836787344998624800 4220466079498487280 4689406754998319200 5275582599373109100 6029237256426410400 7034110132497478800 8440932158996974560 10551165198746218200 14068220264994957600 21102330397492436400 42204660794984872800
- Sum of all divisors σ(n): 195312669478084005120
- Sum of proper divisors (its aliquot sum) s(n): 153108008683099132320
- 42204660794984872800 is an abundant number, because the sum of its proper divisors (153108008683099132320) is greater than itself. Its abundance is 110903347888114259520
Bases of 42204660794984872800
- Binary: 1001001001101101010001001101100010000101101110110110111011011000002
- Hexadecimal: 0x249B5136216EDBB60
- Base-36: 8WNFZMR5W7BS0
Squares and roots of 42204660794984872800
- 42204660794984872800 squared (422046607949848728002) is 1781233392819733155335443980832179840000
- 42204660794984872800 cubed (422046607949848728003) is 75176351140656881329567594984359241639450528249124352000000
-
The
square root of 42204660794984872800 is 6496511432.6833038213 -
The
cube root of 42204660794984872800 is 3481663.5810999699
Scales and comparisons
How big is 42204660794984872800?- 42,204,660,794,984,872,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,204,660,794,984,872,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42204660794984872800 cubic inches would be around 290138.6 feet tall.
Recreational maths with 42204660794984872800
- 42204660794984872800 backwards is 00827848949706640224
- 42204660794984872800 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42204660794984872800's digits is 90
- More coming soon!
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The information we have on file for 42204660794984872800 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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