40828764541488896000
40,828,764,541,488,896,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 40828764541488896000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
40828764541488896000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 40828764541488896000:
211 × 53 × 7 × 173 × 680992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 17 × 17 × 17 × 68099 × 68099)See below for interesting mathematical facts about the number 40828764541488896000 from the Numbermatics database.
Names of 40828764541488896000
- Cardinal: 40828764541488896000 can be written as Forty quintillion, eight hundred twenty-eight quadrillion, seven hundred sixty-four trillion, five hundred forty-one billion, four hundred eighty-eight million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 4.0828764541488896 × 1019
Factors of 40828764541488896000
Divisors of 40828764541488896000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 125 128 136 140 160 170 175 200 224 238 250 256 272 280 289 320 340 350 400 425 448 476 500 512 544 560 578 595 640 680 700 800 850 875 896 952 1000 1024 1088 1120 1156 1190 1280 1360 1400 1445 1600 1700 1750 1792 1904 2000 2023 2048 2125 2176 2240 2312 2380 2560 2720 2800 2890 2975 3200 3400 3500 3584 3808 4000 4046 4250 4352 4480 4624 4760 4913 5120 5440 5600 5780 5950 6400 6800 7000 7168 7225 7616 8000 8092 8500 8704 8960 9248 9520 9826 10115 10240 10880 11200 11560 11900 12800 13600 14000 14336 14450 14875 15232 16000 16184 17000 17408 17920 18496 19040 19652 20230 21760 22400 23120 23800 24565 25600 27200 28000 28900 29750 30464 32000 32368 34000 34391 34816 35840 36125 36992 38080 39304 40460 43520 44800 46240 47600 49130 50575 51200 54400 56000 57800 59500 60928 64000 64736 68000 68099 68782 71680 72250 73984 76160 78608 80920 87040 89600 92480 95200 98260 101150 108800 112000 115600 119000 121856 122825 128000 129472 136000 136198 137564 144500 147968 152320 157216 161840 171955 174080 179200 184960 190400 196520 202300 217600 224000 231200 238000 243712 245650 252875 256000 258944 272000 272396 275128 289000 295936 304640 314432 323680 340495 343910 358400 369920 380800 393040 404600 435200 448000 462400 476000 476693 491300 505750 517888 544000 544792 550256 578000 591872 609280 614125 628864 647360 680990 687820 739840 761600 786080 809200 859775 870400 896000 924800 952000 953386 982600 1011500 1035776 1088000 1089584 1100512 1156000 1157683 1218560 1228250 1257728 1294720 1361980 1375640 1479680 1523200 1572160 1618400 1702475 1719550 1792000 1849600 1904000 1906772 1965200 2023000 2071552 2176000 2179168 2201024 2312000 2315366 2383465 2456500 2515456 2589440 2723960 2751280 2959360 3046400 3144320 3236800 3404950 3439100 3699200 3808000 3813544 3930400 4046000 4143104 4298875 4352000 4358336 4402048 4624000 4630732 4766930 4913000 5030912 5178880 5447920 5502560 5788415 6092800 6288640 6473600 6809900 6878200 7398400 7616000 7627088 7860800 8092000 8103781 8512375 8597750 8716672 8804096 9248000 9261464 9533860 9826000 10061824 10357760 10895840 11005120 11576830 11917325 12577280 12947200 13619800 13756400 14796800 15232000 15254176 15721600 16184000 16207562 17024750 17195500 17433344 17608192 18496000 18522928 19067720 19652000 19680611 20715520 21791680 22010240 23153660 23834650 25154560 25894400 27239600 27512800 28942075 30464000 30508352 31443200 32368000 32415124 34049500 34391000 34866688 35216384 36992000 37045856 38135440 39304000 39361222 40518905 43583360 44020480 46307320 47669300 50309120 51788800 54479200 55025600 57884150 59586625 61016704 62886400 64736000 64830248 68099000 68782000 69733376 70432768 73984000 74091712 76270880 78608000 78722444 81037810 87166720 88040960 92614640 95338600 98403055 103577600 108958400 110051200 115768300 119173250 122033408 125772800 129472000 129660496 136198000 137564000 137764277 139466752 144710375 148183424 152541760 157216000 157444888 162075620 174333440 176081920 185229280 190677200 196806110 202594525 217916800 220102400 231536600 238346500 244066816 251545600 258944000 259320992 272396000 275128000 275528554 289420750 296366848 305083520 314432000 314889776 324151240 334570387 348666880 352163840 370458560 381354400 393612220 405189050 435833600 440204800 463073200 476693000 488133632 492015275 517888000 518641984 544792000 550256000 551057108 578841500 592733696 610167040 628864000 629779552 648302480 669140774 688821385 697333760 740917120 762708800 787224440 810378100 871667200 880409600 926146400 953386000 976267264 984030550 1012972625 1037283968 1089584000 1100512000 1102114216 1157683000 1185467392 1220334080 1257728000 1259559104 1296604960 1338281548 1377642770 1481834240 1525417600 1574448880 1620756200 1672851935 1743334400 1760819200 1852292800 1906772000 1968061100 2025945250 2074567936 2179168000 2201024000 2204228432 2315366000 2341992709 2370934784 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32415124000 32462316607 33457038700 34441069250 35267654912 37045856000 37099790408 37471883344 39361222000 40305891328 41491358720 41821298375 42825009536 44084568640 46374738010 46839854180 50382364160 51864198400 53531261920 55105710800 58549817725 59273369600 61016704000 62977955200 64830248000 64924633214 66914077400 68882138500 70535309824 74091712000 74199580816 74943766688 78722444000 78837054617 82982717440 83642596750 85650019072 88169137280 92749476020 93679708360 100764728320 103728396800 107062523840 110211421600 115936845025 117099635450 122033408000 125955910400 129660496000 129849266428 133828154800 137764277000 141070619648 148183424000 148399161632 149887533376 157444888000 157674109234 162311583035 167285193500 171300038144 176338274560 185498952040 187359416720 201529456640 207456793600 214125047680 220422843200 231873690050 234199270900 251911820800 259320992000 259698532856 267656309600 275528554000 282141239296 292749088625 296366848000 296798323264 299775066752 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2596985328560 2676563096000 2680459856978 2759296911595 2967983232640 2997750667520 3153482184680 3246231660700 3426000762880 3526765491200 3709979040800 3747188334400 3941852730850 4057789575875 4155176525696 4282500953600 4408456864000 4414875058552 4637473801000 4683985418000 4748773172224 4796401068032 5038236416000 5045571495488 5193970657120 5353126192000 5360919713956 5518593823190 5935966465280 5995501335040 6306964369360 6492463321400 6701149642445 7053530982400 7419958081600 7494376668800 7883705461700 8115579151750 8310353051392 8565001907200 8816913728000 8829750117104 9274947602000 9367970836000 9381609499423 9497546344448 9854631827125 10091142990976 10387941314240 10706252384000 10721839427912 11037187646380 11871932930560 11991002670080 12613928738720 12984926642800 13402299284890 13796484557975 14839916163200 14988753337600 15767410923400 16231158303500 16620706102784 17130003814400 17633827456000 17659500234208 18549895204000 18735941672000 18763218998846 19709263654250 20182285981952 20775882628480 21412504768000 21443678855824 22074375292760 22783908784313 23743865861120 23982005340160 25227857477440 25969853285600 26804598569780 27592969115950 29679832326400 29977506675200 31534821846800 32462316607000 33241412205568 33505748212225 35267654912000 35319000468416 37099790408000 37471883344000 37526437997692 39418527308500 40364571963904 41551765256960 42825009536000 42887357711648 44148750585520 45567817568626 46908047497115 47487731722240 50455714954880 51939706571200 53609197139560 55185938231900 59359664652800 59955013350400 63069643693600 64924633214000 66482824411136 67011496424450 68982422789875 70638000936832 74199580816000 74943766688000 75052875995384 78837054617000 80729143927808 83103530513920 85650019072000 85774715423296 88297501171040 91135635137252 93816094994230 100911429909760 103879413142400 107218394279120 110371876463800 113919543921565 118719329305600 119910026700800 126139287387200 129849266428000 134022992848900 137964845579750 141276001873664 148399161632000 149887533376000 150105751990768 157674109234000 159487361490191 161458287855616 166207061027840 167528741061125 171549430846592 176595002342080 182271270274504 187632189988460 201822859819520 207758826284800 214436788558240 220743752927600 227839087843130 234540237485575 237438658611200 252278574774400 259698532856000 268045985697800 275929691159500 282552003747328 296798323264000 299775066752000 300211503981536 315348218468000 318974722980382 332414122055680 335057482122250 343098861693184 353190004684160 364542540549008 375264379976920 403645719639040 415517652569600 428873577116480 441487505855200 455678175686260 469080474971150 504557149548800 519397065712000 536091971395600 551859382319000 565104007494656 569597719607825 593596646528000 599550133504000 600423007963072 630696436936000 637949445960764 670114964244500 686197723386368 706380009368320 729085081098016 750528759953840 797436807450955 807291439278080 831035305139200 857747154232960 882975011710400 911356351372520 938160949942300 1009114299097600 1038794131424000 1072183942791200 1103718764638000 1130208014989312 1139195439215650 1172701187427875 1187193293056000 1200846015926144 1261392873872000 1275898891921528 1340229928489000 1372395446772736 1412760018736640 1458170162196032 1501057519907680 1594873614901910 1662070610278400 1715494308465920 1765950023420800 1822712702745040 1876321899884600 2018228598195200 2077588262848000 2144367885582400 2207437529276000 2278390878431300 2345402374855750 2401692031852288 2522785747744000 2551797783843056 2680459856978000 2744790893545472 2825520037473280 2847988598039125 2916340324392064 3002115039815360 3189747229803820 3430988616931840 3531900046841600 3645425405490080 3752643799769200 3987184037254775 4036457196390400 4155176525696000 4288735771164800 4414875058552000 4556781756862600 4690804749711500 4803384063704576 5045571495488000 5103595567686112 5360919713956000 5651040074946560 5695977196078250 5832680648784128 6004230079630720 6379494459607640 6861977233863680 7063800093683200 7290850810980160 7505287599538400 7974368074509550 8310353051392000 8577471542329600 8829750117104000 9113563513725200 9381609499423000 9606768127409152 10091142990976000 10207191135372224 10721839427912000 11391954392156500 11665361297568256 12008460159261440 12758988919215280 13723954467727360 14127600187366400 14581701621960320 15010575199076800 15948736149019100 17154943084659200 17659500234208000 18227127027450400 18763218998846000 19213536254818304 19935920186273875 20182285981952000 20414382270744448 21443678855824000 22783908784313000 23330722595136512 24016920318522880 25517977838430560 28255200374732800 29163403243920640 30021150398153600 31897472298038200 34309886169318400 35319000468416000 36454254054900800 37526437997692000 39871840372547750 40828764541488896 42887357711648000 45567817568626000 46661445190273024 48033840637045760 51035955676861120 58326806487841280 60042300796307200 63794944596076400 68619772338636800 70638000936832000 72908508109801600 75052875995384000 79743680745095500 81657529082977792 85774715423296000 91135635137252000 96067681274091520 102071911353722240 116653612975682560 120084601592614400 127589889192152800 141276001873664000 145817016219603200 150105751990768000 159487361490191000 163315058165955584 171549430846592000 182271270274504000 204143822707444480 233307225951365120 240169203185228800 255179778384305600 291634032439206400 300211503981536000 318974722980382000 326630116331911168 343098861693184000 364542540549008000 408287645414888960 480338406370457600 510359556768611200 583268064878412800 600423007963072000 637949445960764000 729085081098016000 816575290829777920 1020719113537222400 1166536129756825600 1200846015926144000 1275898891921528000 1458170162196032000 1633150581659555840 2041438227074444800 2401692031852288000 2551797783843056000 2916340324392064000 4082876454148889600 5103595567686112000 5832680648784128000 8165752908297779200 10207191135372224000 20414382270744448000 40828764541488896000
- Sum of all divisors σ(n): 123716276638139203200
- Sum of proper divisors (its aliquot sum) s(n): 82887512096650307200
- 40828764541488896000 is an abundant number, because the sum of its proper divisors (82887512096650307200) is greater than itself. Its abundance is 42058747555161411200
Bases of 40828764541488896000
- Binary: 1000110110100111001110100100000111110010011000001010011000000000002
- Hexadecimal: 0x2369CE907C9829800
- Base-36: 8M74D468T883K
Squares and roots of 40828764541488896000
- 40828764541488896000 squared (408287645414888960002) is 1666988013984340980019312491298816000000
- 40828764541488896000 cubed (408287645414888960003) is 68061061116450856906350583707706991535829481947136000000000
-
The
square root of 40828764541488896000 is 6389739004.1760622759 -
The
cube root of 40828764541488896000 is 3443410.0779238167
Scales and comparisons
How big is 40828764541488896000?- 40,828,764,541,488,896,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 40,828,764,541,488,896,000 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 40828764541488896000 cubic inches would be around 286950.8 feet tall.
Recreational maths with 40828764541488896000
- 40828764541488896000 backwards is 00069888414546782804
- The number of decimal digits it has is: 20
- The sum of 40828764541488896000's digits is 92
- More coming soon!
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"Number 40828764541488896000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 40828764541488896000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/40828764541488896000/
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The information we have on file for 40828764541488896000 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 40828764541488896000, math, Factors of 40828764541488896000, curriculum, school, college, exams, university, Prime factorization of 40828764541488896000, STEM, science, technology, engineering, physics, economics, calculator, forty quintillion, eight hundred twenty-eight quadrillion, seven hundred sixty-four trillion, five hundred forty-one billion, four hundred eighty-eight million, eight hundred ninety-six thousand.