4080138408990086400
4,080,138,408,990,086,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 4080138408990086400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
4080138408990086400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 4080138408990086400:
28 × 34 × 52 × 17 × 1093 × 3121 × 135721
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 1093 × 3121 × 135721)See below for interesting mathematical facts about the number 4080138408990086400 from the Numbermatics database.
Names of 4080138408990086400
- Cardinal: 4080138408990086400 can be written as Four quintillion, eighty quadrillion, one hundred thirty-eight trillion, four hundred eight billion, nine hundred ninety million, eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.0801384089900864 × 1018
Factors of 4080138408990086400
Divisors of 4080138408990086400
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 128 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 255 256 270 272 288 300 306 320 324 340 360 384 400 405 408 425 432 450 459 480 510 540 544 576 600 612 640 648 675 680 720 765 768 800 810 816 850 864 900 918 960 1020 1080 1088 1093 1152 1200 1224 1275 1280 1296 1350 1360 1377 1440 1530 1600 1620 1632 1700 1728 1800 1836 1920 2025 2040 2160 2176 2186 2295 2304 2400 2448 2550 2592 2700 2720 2754 2880 3060 3121 3200 3240 3264 3279 3400 3456 3600 3672 3825 3840 4050 4080 4320 4352 4372 4590 4800 4896 5100 5184 5400 5440 5465 5508 5760 6120 6242 6400 6480 6528 6558 6800 6885 6912 7200 7344 7650 8100 8160 8640 8744 9180 9363 9600 9792 9837 10200 10368 10800 10880 10930 11016 11475 11520 12240 12484 12960 13056 13116 13600 13770 14400 14688 15300 15605 16200 16320 16395 17280 17488 18360 18581 18726 19200 19584 19674 20400 20736 21600 21760 21860 22032 22950 24480 24968 25920 26232 27200 27325 27540 28089 28800 29376 29511 30600 31210 32400 32640 32790 34425 34560 34976 36720 37162 37452 39168 39348 40800 43200 43720 44064 45900 46815 48960 49185 49936 51840 52464 53057 54400 54650 55080 55743 56178 57600 58752 59022 61200 62420 64800 65280 65580 68850 69952 73440 74324 74904 78025 78696 81600 81975 84267 86400 87440 88128 88533 91800 92905 93630 97920 98370 99872 103680 104928 106114 108800 109300 110160 111486 112356 117504 118044 122400 124840 129600 131160 135721 137700 139904 140445 146880 147555 148648 149808 156050 157392 159171 163200 163950 167229 168534 172800 174880 176256 177066 183600 185810 187260 195840 196740 199744 209856 212228 218600 220320 222972 224712 234075 236088 244800 245925 249680 252801 259200 262320 265285 271442 275400 278715 279808 280890 293760 295110 297296 299616 312100 314784 318342 326400 327900 334458 337068 349760 352512 354132 367200 371620 374520 393480 399488 407163 419712 421335 424456 437200 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21788627624640 21958658893440 22222976083824 23043037110400 23148933420650 23331075074280 23611912089063 24209586249600 24398509881600 24886480079232 25000848094302 25633679558400 25923416749200 26146353149568 27235784530800 27448323616800 27651644532480 27778720104780 29051503499520 29163843842850 29630634778432 30062690438400 31108100099040 31482549452084 32682941436960 33334464125736 34564555665600 34723400130975 36314379374400 36597764822400 37038293473040 37329720118848 37501272141453 38450519337600 38885125123800 39353186815105 40853676796200 41477466798720 41668080157170 43577255249280 43917317786880 44445952167648 46086074220800 46297866841300 46662150148560 47223824178126 48419172499200 49772960158464 50001696188604 51846833498400 52292706299136 54471569061600 54896647233600 55557440209560 58327687685700 59261269556864 62216200198080 62502120235755 62965098904168 65365882873920 66668928251472 69129111331200 69446800261950 70835736267189 72628758748800 73195529644800 74076586946080 74659440237696 75002544282906 76901038675200 77770250247600 78706373630210 81707353592400 82954933597440 83336160314340 87154510498560 88891904335296 92595733682600 93324300297120 94447648356252 100003392377208 103693666996800 104170200392925 108943138123200 109793294467200 111114880419120 116655375371400 118059560445315 118522539113728 124432400396160 125004240471510 125930197808336 130731765747840 133337856502944 138258222662400 138893600523900 141671472534378 145257517497600 148153173892160 149318880475392 150005088565812 155540500495200 157412747260420 163414707184800 166672320628680 177783808670592 185191467365200 186648600594240 187506360707265 188895296712504 196765934075525 200006784754416 207387333993600 208340400785850 212507208801567 217886276246400 219586588934400 222229760838240 233310750742800 236119120890630 248864800792320 250008480943020 251860395616672 261463531495680 266675713005888 277787201047800 283342945068756 296306347784320 300010177131624 311081000990400 312510601178775 314825494520840 326829414369600 333344641257360 354178681335945 355567617341184 370382934730400 373297201188480 375012721414530 377790593425008 393531868151050 400013569508832 414774667987200 416680801571700 425014417603134 435772552492800 444459521676480 466621501485600 472238241781260 500016961886040 503720791233344 533351426011776 555574402095600 566685890137512 590297802226575 592612695568640 600020354263248 622162001980800 625021202357550 629650989041680 637521626404701 653658828739200 666689282514720 708357362671890 740765869460800 746594402376960 750025442829060 755581186850016 787063736302100 800027139017664 833361603143400 850028835206268 888919043352960 933243002971200 937531803536325 944476483562520 1000033923772080 1007441582466688 1062536044007835 1066702852023552 1111148804191200 1133371780275024 1180595604453150 1200040708526496 1244324003961600 1250042404715100 1259301978083360 1275043252809402 1307317657478400 1333378565029440 1416714725343780 1481531738921600 1500050885658120 1511162373700032 1574127472604200 1600054278035328 1666723206286800 1700057670412536 1770893406679725 1777838086705920 1866486005942400 1875063607072650 1888952967125040 2000067847544160 2014883164933376 2125072088015670 2222297608382400 2266743560550048 2361191208906300 2400081417052992 2500084809430200 2518603956166720 2550086505618804 2666757130058880 2833429450687560 2963063477843200 3000101771316240 3022324747400064 3148254945208400 3187608132023505 3200108556070656 3333446412573600 3400115340825072 3541786813359450 3732972011884800 3750127214145300 3777905934250080 4000135695088320 4250144176031340 4444595216764800 4533487121100096 4722382417812600 4800162834105984 5000169618860400 5037207912333440 5100173011237608 5312680220039175 5333514260117760 5666858901375120 6000203542632480 6044649494800128 6296509890416800 6375216264047010 6666892825147200 6800230681650144 7083573626718900 7500254428290600 7555811868500160 8000271390176640 8500288352062680 8889190433529600 9066974242200192 9444764835625200 9600325668211968 10000339237720800 10074415824666880 10200346022475216 10625360440078350 11333717802750240 12000407085264960 12593019780833600 12750432528094020 13333785650294400 13600461363300288 14167147253437800 15000508856581200 15111623737000320 15938040660117525 16000542780353280 17000576704125360 18133948484400384 18889529671250400 20000678475441600 20400692044950432 21250720880156700 22667435605500480 24000814170529920 25186039561667200 25500865056188040 26667571300588800 27200922726600576 28334294506875600 30001017713162400 30223247474000640 31876081320235050 34001153408250720 37779059342500800 40001356950883200 40801384089900864 42501441760313400 45334871211000960 48001628341059840 50372079123334400 51001730112376080 54401845453201152 56668589013751200 60002035426324800 63752162640470100 68002306816501440 75558118685001600 80002713901766400 81602768179801728 85002883520626800 90669742422001920 102003460224752160 113337178027502400 120004070852649600 127504325280940200 136004613633002880 151116237370003200 163205536359603456 170005767041253600 204006920449504320 226674356055004800 240008141705299200 255008650561880400 272009227266005760 340011534082507200 408013840899008640 453348712110009600 510017301123760800 680023068165014400 816027681798017280 1020034602247521600 1360046136330028800 2040069204495043200 4080138408990086400
- Sum of all divisors σ(n): 15993405217355127408
- Sum of proper divisors (its aliquot sum) s(n): 11913266808365041008
- 4080138408990086400 is an abundant number, because the sum of its proper divisors (11913266808365041008) is greater than itself. Its abundance is 7833128399374954608
Bases of 4080138408990086400
- Binary: 111000100111111001000001000011111101100100100000010101000000002
- Hexadecimal: 0x389F9043F6481500
- Base-36: UZYOCSUCSW00
Squares and roots of 4080138408990086400
- 4080138408990086400 squared (40801384089900864002) is 16647529436516153560737173479464960000
- 4080138408990086400 cubed (40801384089900864003) is 67924224268722648344284009327721432022642616172544000000
-
The
square root of 4080138408990086400 is 2019935248.7122171115 -
The
cube root of 4080138408990086400 is 1597932.0169760087
Scales and comparisons
How big is 4080138408990086400?- 4,080,138,408,990,086,400 seconds is equal to 129,735,780,709 years, 7 weeks, 1 day.
-
To count from 1 to 4,080,138,408,990,086,400 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 4080138408990086400 cubic inches would be around 133161 feet tall.
Recreational maths with 4080138408990086400
- 4080138408990086400 backwards is 0046800998048310804
- 4080138408990086400 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 4080138408990086400's digits is 72
- More coming soon!
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"Number 4080138408990086400 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 4080138408990086400 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/4080138408990086400/
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Numbermatics. 2024. "Number 4080138408990086400 - Facts about the integer". https://numbermatics.com/n/4080138408990086400/
The information we have on file for 4080138408990086400 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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