138283364061979200
138,283,364,061,979,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138283364061979200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
138283364061979200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138283364061979200:
26 × 33 × 52 × 17 × 353 × 8113
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 17 × 353 × 811 × 811 × 811)See below for interesting mathematical facts about the number 138283364061979200 from the Numbermatics database.
Names of 138283364061979200
- Cardinal: 138283364061979200 can be written as One hundred thirty-eight quadrillion, two hundred eighty-three trillion, three hundred sixty-four billion, sixty-one million, nine hundred seventy-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.382833640619792 × 1017
Factors of 138283364061979200
Divisors of 138283364061979200
- Number of divisors d(n): 1344
-
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 85 90 96 100 102 108 120 135 136 144 150 153 160 170 180 192 200 204 216 225 240 255 270 272 288 300 306 320 340 353 360 400 408 425 432 450 459 480 510 540 544 576 600 612 675 680 706 720 765 800 811 816 850 864 900 918 960 1020 1059 1080 1088 1200 1224 1275 1350 1360 1412 1440 1530 1600 1622 1632 1700 1728 1765 1800 1836 2040 2118 2160 2295 2400 2433 2448 2550 2700 2720 2824 2880 3060 3177 3244 3264 3400 3530 3600 3672 3825 4055 4080 4236 4320 4590 4800 4866 4896 5100 5295 5400 5440 5648 6001 6120 6354 6488 6800 7060 7200 7299 7344 7650 8110 8160 8472 8640 8825 9180 9531 9732 9792 10200 10590 10800 11296 11475 12002 12165 12240 12708 12976 13600 13787 14120 14400 14598 14688 15300 15885 16220 16320 16944 17650 18003 18360 19062 19464 20275 20400 21180 21600 21897 22592 22950 24004 24330 24480 25416 25952 26475 27200 27574 28240 29196 29376 30005 30600 31770 32440 33888 35300 36006 36495 36720 38124 38928 40550 40800 41361 42360 43200 43794 45900 47655 48008 48660 48960 50832 51904 52950 54009 55148 56480 58392 60010 60825 61200 63540 64880 67776 68935 70600 72012 72990 73440 76248 77856 79425 81100 81600 82722 84720 87588 90015 91800 95310 96016 97320 101664 105900 108018 109485 110296 112960 116784 120020 121650 122400 124083 127080 129760 137870 141200 144024 145980 146880 150025 152496 155712 158850 162027 162200 165444 169440 175176 180030 182475 183600 190620 192032 194640 203328 206805 211800 216036 218970 220592 233568 238275 240040 243300 244800 248166 254160 259520 270045 275740 282400 286283 288048 291960 300050 304992 317700 324054 324400 330888 338880 344675 350352 360060 364950 367200 372249 381240 384064 389280 413610 423600 432072 437940 441184 450075 467136 476550 480080 486600 496332 508320 540090 547425 551480 564800 572566 576096 583920 600100 609984 620415 635400 648108 648800 657721 661776 689350 700704 720120 729900 734400 744498 762480 778560 810135 827220 847200 858849 864144 875880 882368 900150 953100 960160 973200 992664 1016640 1034025 1080180 1094850 1102960 1145132 1152192 1167840 1200200 1240830 1270800 1296216 1297600 1315442 1323552 1350225 1378700 1401408 1431415 1440240 1459800 1488996 1524960 1620270 1654440 1694400 1717698 1728288 1751760 1800300 1861245 1906200 1920320 1946400 1973163 1985328 2068050 2160360 2189700 2205920 2290264 2335680 2400400 2481660 2541600 2576547 2592432 2630884 2647104 2700450 2757400 2862830 2880480 2919600 2977992 3049920 3102075 3240540 3288605 3308880 3435396 3456576 3503520 3600600 3722490 3812400 3892800 3946326 3970656 4050675 4136100 4294245 4320720 4379400 4411840 4580528 4800800 4866811 4963320 5083200 5153094 5184864 5261768 5400900 5514800 5725660 5760960 5839200 5919489 5955984 6204150 6481080 6577210 6617760 6870792 7007040 7157075 7201200 7444980 7624800 7729641 7892652 7941312 8101350 8272200 8588490 8641440 8758800 9161056 9306225 9601600 9733622 9865815 9926640 10306188 10369728 10523536 10801800 11029600 11181257 11451320 11678400 11838978 11911968 12408300 12882735 12962160 13154420 13235520 13741584 14314150 14402400 14600433 14889960 15249600 15459282 15785304 16202700 16443025 16544400 17176980 17282880 17517600 17758467 18322112 18612450 19467244 19731630 19853280 20612376 21047072 21471225 21603600 22059200 22362514 22902640 23677956 23823936 24334055 24816600 25765470 25924320 26308840 27483168 28628300 28804800 29200866 29597445 29779920 30918564 31570608 32405400 32886050 33088800 33543771 34353960 35035200 35516934 37224900 38648205 38934488 39463260 39706560 41224752 42094144 42942450 43207200 43801299 44725028 45805280 47355912 48668110 49329075 49633200 51530940 51848640 52617680 54966336 55906285 57256600 58401732 59194890 59559840 61837128 63141216 64413675 64810800 65772100 66177600 67087542 68707920 71033868 73002165 74449800 77296410 77868976 78926520 82449504 85884900 86414400 87602598 88792335 89450056 91610560 94711824 97336220 98658150 99266400 100631313 103061880 105235360 111812570 114513200 116803464 118389780 119119680 121670275 123674256 126282432 128827350 129621600 131403897 131544200 134175084 137415840 142067736 146004330 147987225 148899600 154592820 155737952 157853040 164899008 167718855 171769800 175205196 177584670 178900112 189423648 193241025 194672440 197316300 198532800 201262626 206123760 210470720 219006495 223625140 229026400 232175513 233606928 236779560 243340550 247348512 257654700 259243200 262807794 263088400 268350168 274831680 279531425 284135472 292008660 295974450 297799200 301893939 309185640 311475904 315706080 335437710 343539600 350410392 355169340 357800224 365010825 378847296 386482050 389344880 394632600 402525252 412247520 438012990 443961675 447250280 458052800 464351026 467213856 473559120 486681100 494697024 503156565 515309400 525615588 526176800 533411731 536700336 559062850 568270944 584017320 591948900 595598400 603787878 618371280 631412160 657019485 670875420 687079200 696526539 700820784 710338680 715600448 730021650 772964100 778689760 789265200 805050504 824495040 838594275 876025980 887923350 894500560 928702052 934427712 947118240 973362200 1006313130 1030618800 1051231176 1052353600 1066823462 1073400672 1095032475 1118125700 1136541888 1160877565 1168034640 1183897800 1207575756 1236742560 1314038970 1341750840 1374158400 1393053078 1401641568 1420677360 1460043300 1509469695 1545928200 1557379520 1578530400 1600235193 1610101008 1677188550 1752051960 1775846700 1789001120 1857404104 1894236480 1946724400 2012626260 2061237600 2089579617 2102462352 2133646924 2146801344 2190064950 2236251400 2321755130 2336069280 2367795600 2415151512 2473485120 2515782825 2628077940 2667058655 2683501680 2786106156 2803283136 2841354720 2920086600 3018939390 3091856400 3157060800 3200470386 3220202016 3285097425 3354377100 3482632695 3504103920 3551693400 3578002240 3714808208 3893448800 3946983721 4025252520 4122475200 4179159234 4204924704 4267293848 4380129900 4472502800 4643510260 4672138560 4735591200 4800705579 4830303024 5031565650 5256155880 5334117310 5367003360 5572212312 5682709440 5804387825 5840173200 6037878780 6183712800 6268738851 6400940772 6440404032 6570194850 6708754200 6965265390 7008207840 7103386800 7429616416 7547348475 7786897600 7893967442 8001175965 8050505040 8358318468 8409849408 8534587696 8760259800 8945005600 9067999427 9287020520 9471182400 9601411158 9660606048 10063131300 10447898085 10512311760 10668234620 10734006720 11144424624 11608775650 11680346400 11840951163 12075757560 12367425600 12537477702 12801881544 13140389700 13335293275 13417508400 13930530780 14016415680 14206773600 14402116737 14859232832 15094696950 15787934884 16002351930 16101010080 16716636936 17069175392 17413163475 17520519600 17890011200 18135998854 18574041040 19202822316 19321212096 19734918605 20126262600 20895796170 21024623520 21336469240 22288849248 23217551300 23360692800 23681902326 24003527895 24151515120 25074955404 25603763088 26280779400 26670586550 26835016800 27203998281 27861061560 28413547200 28804233474 30189393900 31343694255 31575869768 32004703860 32202020160 33433273872 34138350784 34826326950 35041039200 35522853489 36271997708 37148082080 38405644632 39469837210 40005879825 40252525200 41791592340 42049247040 42672938480 44577698496 45339997135 46435102600 47363804652 48007055790 48303030240 50149910808 51207526176 52239490425 52561558800 53341173100 53670033600 54407996562 55722123120 57608466948 59204755815 60378787800 62687388510 63151739536 64009407720 66866547744 69652653900 70082078400 71045706978 72010583685 72543995416 74296164160 76811289264 78939674420 80011759650 80505050400 81611994843 83583184680 85345876960 90679994270 92870205200 94727609304 96014111580 96606060480 98674593025 100299821616 102415052352 104478980850 105123117600 106568560467 106682346200 108815993124 111444246240 115216933896 118409511630 120017639475 120757575600 125374777020 126303479072 128018815440 133733095488 136019991405 139305307800 142091413956 144021167370 145087990832 153622578528 156718471275 157879348840 160023519300 161010100800 163223989686 167166369360 170691753920 177614267445 181359988540 185740410400 188294341043 189455218608 192028223160 197349186050 200599643232 208957961700 210246235200 213137120934 213364692400 217631986248 222888492480 226699985675 230433867792 236819023260 240035278950 241515151200 244835984529 250749554040 252606958144 256037630880 272039982810 278610615600 284182827912 288042334740 290175981664 296023779075 307245157056 313436942550 315758697680 320047038600 326447979372 334332738720 355228534890 360052918425 362719977080 371480820800 376588682086 378910437216 384056446320 394698372100 401199286464 408059974215 417915923400 426274241868 426729384800 435263972496 453399971350 460867735584 473638046520 480070557900 483030302400 489671969058 501499108080 512075261760 532842802335 544079965620 557221231200 564883023129 568365655824 576084669480 580351963328 592047558150 626873885100 631517395360 640094077200 652895958744 668665477440 680099957025 710457069780 720105836850 725439954160 753177364172 757820874432 768112892640 789396744200 816119948430 835831846800 852548483736 853458769600 870527944992 888071337225 906799942700 921735471168 941471705215 947276093040 960141115800 979343938116 1002998216160 1065685604670 1088159931240 1114442462400 1129766046258 1136731311648 1152169338960 1184095116300 1224179922645 1253747770200 1263034790720 1280188154400 1305791917488 1360199914050 1420914139560 1440211673700 1450879908320 1506354728344 1536225785280 1578793488400 1632239896860 1671663693600 1694649069387 1705096967472 1741055889984 1776142674450 1813599885400 1882943410430 1894552186080 1920282231600 1958687876232 2005996432320 2040299871075 2131371209340 2176319862480 2259532092516 2273462623296 2304338677920 2368190232600 2448359845290 2507495540400 2560376308800 2611583834976 2664214011675 2720399828100 2824415115645 2841828279120 2880423347400 2901759816640 3012709456688 3157586976800 3201003797731 3264479793720 3343327387200 3389298138774 3410193934944 3552285348900 3627199770800 3765886820860 3789104372160 3840564463200 3917375752464 4080599742150 4262742418680 4352639724960 4519064185032 4608677355840 4707358526075 4736380465200 4896719690580 5014991080800 5083947208161 5223167669952 5328428023350 5440799656200 5648830231290 5683656558240 5760846694800 6025418913376 6120899613225 6315173953600 6402007595462 6528959587440 6778596277548 6820387869888 7104570697800 7254399541600 7531773641720 7681128926400 7834751504928 8161199484300 8473245346935 8525484837360 8705279449920 9038128370064 9414717052150 9472760930400 9603011393193 9793439381160 10029982161600 10167894416322 10656856046700 10881599312400 11297660462580 11367313116480 11521693389600 12050837826752 12241799226450 12804015190924 13057919174880 13557192555096 14122075578225 14209141395600 14508799083200 15063547283440 15669503009856 16005018988655 16322398968600 16946490693870 17050969674720 18076256740128 18829434104300 18945521860800 19206022786386 19586878762320 20335788832644 21313712093400 21763198624800 22595320925160 23043386779200 24483598452900 25419736040805 25608030381848 26115838349760 27114385110192 28244151156450 28418282791200 28809034179579 30127094566880 32010037977310 32644797937200 33892981387740 34101939349440 36152513480256 37658868208600 38412045572772 39173757524640 40671577665288 42366226734675 42627424186800 43526397249600 45190641850320 48015056965965 48967196905800 50839472081610 51216060763696 54228770220384 56488302312900 56836565582400 57618068359158 60254189133760 64020075954620 65289595874400 67785962775480 75317736417200 76824091145544 78347515049280 80025094943275 81343155330576 84732453469350 85254848373600 86427102538737 90381283700640 96030113931930 97934393811600 101678944163220 102432121527392 108457540440768 112976604625800 115236136718316 127098680204025 128040151909240 130579191748800 135571925550960 144045170897895 150635472834400 153648182291088 160050189886550 162686310661152 169464906938700 170509696747200 172854205077474 180762567401280 192060227863860 195868787623200 203357888326440 204864243054784 225953209251600 230472273436632 240075284829825 254197360408050 256080303818480 271143851101920 288090341795790 301270945668800 307296364582176 320100379773100 325372621322304 338929813877400 345708410154948 384120455727720 391737575246400 406715776652880 432135512693685 451906418503200 460944546873264 480150569659650 508394720816100 512160607636960 542287702203840 576180683591580 614592729164352 640200759546200 677859627754800 691416820309896 720225854489475 768240911455440 813431553305760 864271025387370 903812837006400 921889093746528 960301139319300 1016789441632200 1024321215273920 1152361367183160 1280401519092400 1355719255509600 1382833640619792 1440451708978950 1536481822910880 1626863106611520 1728542050774740 1843778187493056 1920602278638600 2033578883264400 2160677563468425 2304722734366320 2560803038184800 2711438511019200 2765667281239584 2880903417957900 3072963645821760 3457084101549480 3841204557277200 4067157766528800 4321355126936850 4609445468732640 5121606076369600 5531334562479168 5761806835915800 6914168203098960 7682409114554400 8134315533057600 8642710253873700 9218890937465280 11523613671831600 13828336406197920 15364818229108800 17285420507747400 23047227343663200 27656672812395840 34570841015494800 46094454687326400 69141682030989600 138283364061979200
- Sum of all divisors σ(n): 535919514333315840
- Sum of proper divisors (its aliquot sum) s(n): 397636150271336640
- 138283364061979200 is an abundant number, because the sum of its proper divisors (397636150271336640) is greater than itself. Its abundance is 259352786209357440
Bases of 138283364061979200
- Binary: 1111010110100011111111100101010010100001010100010010000002
- Hexadecimal: 0x1EB47FCA942A240
- Base-36: 11TLD0GFUHC0
Squares and roots of 138283364061979200
- 138283364061979200 squared (1382833640619792002) is 19122288776297880551899021232640000
- 138283364061979200 cubed (1382833640619792003) is 2644294420551098549310694842659145617742041088000000
-
The
square root of 138283364061979200 is 371864712.0418650317 -
The
cube root of 138283364061979200 is 517118.3853717707
Scales and comparisons
How big is 138283364061979200?- 138,283,364,061,979,200 seconds is equal to 4,396,983,238 years, 33 weeks, 2 days, 12 hours.
-
To count from 1 to 138,283,364,061,979,200 would take you about thirteen billion, one hundred ninety million, nine hundred forty-nine thousand, seven hundred fifteen 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 138283364061979200 cubic inches would be around 43093.2 feet tall.
Recreational maths with 138283364061979200
- 138283364061979200 backwards is 002979160463382831
- 138283364061979200 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138283364061979200's digits is 72
- More coming soon!
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"Number 138283364061979200 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138283364061979200 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138283364061979200/
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The information we have on file for 138283364061979200 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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