138023811004800
138,023,811,004,800 is an even composite number composed of seven prime numbers multiplied together.
138023811004800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138023811004800:
27 × 3 × 52 × 7 × 372 × 592 × 431
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 37 × 37 × 59 × 59 × 431)See below for interesting mathematical facts about the number 138023811004800 from the Numbermatics database.
Names of 138023811004800
- Cardinal: 138023811004800 can be written as One hundred thirty-eight trillion, twenty-three billion, eight hundred eleven million, four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380238110048 × 1014
Factors of 138023811004800
Divisors of 138023811004800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 37 40 42 48 50 56 59 60 64 70 74 75 80 84 96 100 105 111 112 118 120 128 140 148 150 160 168 175 177 185 192 200 210 222 224 236 240 259 280 295 296 300 320 336 350 354 370 384 400 413 420 431 444 448 472 480 518 525 555 560 590 592 600 640 672 700 708 740 777 800 826 840 862 885 888 896 925 944 960 1036 1050 1110 1120 1180 1184 1200 1239 1293 1295 1344 1369 1400 1416 1475 1480 1554 1600 1652 1680 1724 1770 1776 1850 1888 1920 2065 2072 2100 2155 2183 2220 2240 2360 2368 2400 2478 2586 2590 2688 2738 2775 2800 2832 2950 2960 3017 3108 3200 3304 3360 3448 3481 3540 3552 3700 3776 3885 4107 4130 4144 4200 4310 4366 4425 4440 4480 4720 4736 4800 4956 5172 5180 5476 5550 5600 5664 5900 5920 6034 6195 6216 6465 6475 6549 6608 6720 6845 6896 6962 7080 7104 7400 7552 7770 8214 8260 8288 8400 8620 8732 8850 8880 9051 9440 9583 9600 9912 10325 10344 10360 10443 10775 10915 10952 11100 11200 11328 11800 11840 12068 12390 12432 12930 12950 13098 13216 13440 13690 13792 13924 14160 14208 14800 15085 15281 15540 15947 16428 16520 16576 16800 17240 17405 17464 17700 17760 18102 18880 19166 19425 19824 20535 20650 20688 20720 20886 21550 21830 21904 22200 22400 22656 23600 23680 24136 24367 24780 24864 25429 25860 25900 26196 26432 27380 27584 27848 28320 28749 29600 30170 30562 30975 31080 31894 32325 32745 32856 33040 33152 33600 34225 34480 34810 34928 35400 35520 36204 37760 38332 38850 39648 41070 41300 41376 41440 41772 43100 43660 43808 44400 45255 45843 47200 47841 47915 48272 48734 49560 49728 50858 51720 51800 52215 52392 52864 54575 54760 55168 55696 56640 57498 59200 60340 61124 61950 62160 63788 64650 65490 65712 66080 67200 68450 68960 69620 69856 70800 71040 72408 73101 75425 76287 76405 76664 77700 79296 79735 80771 82140 82600 82752 82880 83544 86200 87025 87320 87616 88800 90510 91686 94400 95682 95830 96544 97468 99120 99456 101716 102675 103440 103600 104430 104784 109150 109520 111392 111629 113280 114996 118400 120680 121835 122248 123900 124320 127145 127576 128797 129300 130980 131424 132160 136900 137920 139240 139712 141600 143745 144816 146202 150850 152574 152810 153328 155400 158592 159470 161542 163725 164280 165200 165504 165760 167088 172400 174050 174640 175232 177600 178003 181020 183372 188800 191364 191660 193088 194936 198240 203432 205350 206880 207200 208860 209568 218300 219040 222784 223258 226275 229215 229992 239205 239575 241360 242313 243670 244496 247800 248640 254290 255152 257594 258600 261075 261960 262848 264320 273800 275840 278480 279424 283200 287490 289632 292404 301700 305148 305620 306656 310800 318940 323084 327450 328560 330400 334176 334887 344800 348100 349280 355200 356006 362040 365505 366744 381435 382025 382728 383320 386176 386391 389872 396480 398675 403855 406864 410700 413760 414400 417720 419136 436600 438080 445568 446516 452550 458430 459984 478410 479150 482720 484626 487340 488992 495600 497280 508580 510304 515188 517200 522150 523920 525696 534009 547600 556960 558145 565397 566400 574980 579264 584808 590039 603400 609175 610296 611240 613312 621600 635725 637880 643985 646168 654900 657120 660800 668352 669774 689600 696200 698560 712012 718725 724080 731010 733488 762870 764050 765456 766640 772782 779744 792960 797350 807710 813728 821400 827520 828800 835440 838272 873200 876160 890015 893032 901579 905100 916860 919968 940873 956820 958300 965440 969252 974680 977984 991200 1017160 1020608 1030376 1034400 1044300 1047840 1068018 1095200 1113920 1116290 1130794 1146075 1149960 1158528 1169616 1180078 1196025 1206800 1211565 1218350 1220592 1222480 1226624 1243200 1271450 1275760 1287970 1292336 1309800 1314240 1321600 1336704 1339548 1379200 1392400 1397120 1424024 1437450 1448160 1462020 1466976 1500311 1525740 1528100 1530912 1533280 1545564 1559488 1594700 1615420 1627456 1642800 1670880 1674435 1696191 1746400 1770117 1780030 1786064 1803158 1810200 1827525 1833720 1839936 1881746 1907175 1913640 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6001244 6057825 6102960 6112400 6123648 6133120 6182256 6378800 6439850 6461680 6571200 6586111 6683520 6697740 6784764 6985600 7080468 7120120 7144256 7212632 7240800 7310100 7334880 7501555 7526984 7628700 7654560 7666400 7727820 7754016 7797440 8077100 8137280 8243008 8260546 8354400 8372175 8480955 8544144 8850585 8900150 8930320 9001866 9015790 9046352 9168600 9199680 9356928 9408730 9440624 9530978 9568200 9654400 9659775 9692520 9746800 9764736 9779840 10171600 10206080 10303760 10338688 10478400 10502177 10680180 10716384 10818948 11139200 11162900 11290476 11307940 11392192 11499600 11696160 11800780 12002488 12115650 12205920 12224800 12364512 12390819 12757600 12879700 12923360 13142400 13172222 13350225 13395480 13523685 13569528 14113095 14134925 14160936 14240240 14288512 14296467 14425264 14481600 14620200 14669760 14750975 15003110 15053968 15257400 15309120 15332800 15455640 15508032 15594880 16154200 16274560 16486016 16521092 16708800 16744350 16961910 17088288 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48009952 48462600 48823680 48899200 49458048 49563276 51030400 51518800 51693440 52510885 52688888 53400900 53581920 54094740 54278112 55511507 56452380 56539700 56643744 56960960 57185868 57701056 58480800 59003900 60012440 60215872 61029600 61822560 61954095 63013062 64616800 65861110 66084368 66716846 66977400 67618425 67847640 68353152 69624602 70565475 70804680 71201200 71442560 71482335 72014928 72126320 72370816 73348800 75015550 75269840 75524992 76247824 76545600 77278200 77540160 77974400 79033332 81372800 82430080 82605460 84017416 84809550 85441440 86551584 88505850 89303200 90018660 90157900 90323808 90463520 91996800 94087300 94406240 95309780 96019904 96925200 98791665 99126552 100075269 103037600 103256825 104436903 105021770 105377776 106801800 107163840 108189480 108556224 111023014 112523325 112904760 113079400 113287488 113921920 114371736 115402112 116961600 118007800 119137225 120024880 120431744 122059200 123645120 123908190 126026124 129233600 131722220 132168736 133433692 133954800 135236850 135695280 139249204 141130950 141609360 142402400 142964670 144029856 144252640 146697600 150031100 150539680 152495648 153091200 154556400 155080320 157532655 158066664 164652775 165210920 166534521 166792115 168034832 169619100 170882880 173103168 174061505 177011700 178606400 180037320 180315800 180647616 180927040 188174600 188812480 190619560 192039808 193850400 197583330 198253104 200150538 206075200 206513650 208873806 210043540 210755552 213603600 214327680 216378960 217112448 222046028 225046650 225809520 226158800 226574976 228743472 233923200 236015600 238274450 240049760 243686107 244118400 247290240 247816380 252052248 258467200 262554425 263444440 264337472 266867384 267909600 270473700 271390560 277557535 278498408 282261900 283218720 284804800 285929340 288059712 288505280 300062200 301079360 304991296 309112800 309770475 315065310 316133328 329305550 330421840 333069042 333584230 336069664 339238200 341765760 346206336 348123010 354023400 357212800 357411675 360074640 360631600 361295232 361854080 376349200 377624960 381239120 387700800 388580549 395166660 396506208 400301076 412150400 413027300 417747612 420087080 421511104 427207200 432757920 444092056 450093300 451619040 452317600 457486944 472031200 476548900 480099520 487372214 493958325 495632760 500376345 504104496 522184515 525108850 526888880 528674944 533734768 535819200 540947400 542781120 555115070 556996816 564523800 566437440 569609600 571858680 576119424 577010560 600124400 602158720 609982592 618225600 619540950 630130620 632266656 658611100 660843680 666138084 667168460 672139328 678476400 696246020 708046800 714823350 720149280 721263200 731058321 752698400 762478240 775401600 777161098 787663275 790333320 793012416 800602152 826054600 832672605 833960575 835495224 840174160 843022208 854414400 865515840 870307525 888184112 900186600 903238080 904635200 914973888 944062400 953097800 960199040 974744428 987916650 991265520 1000752690 1008208992 1044369030 1050217700 1053777760 1067469536 1071638400 1081894800 1085562240 1110230140 1113993632 1129047600 1132874880 1143717360 1165741647 1200248800 1218430535 1236451200 1239081900 1260261240 1264533312 1317222200 1321687360 1332276168 1334336920 1344278656 1356952800 1387787675 1392492040 1416093600 1429646700 1440298560 1442526400 1462116642 1505396800 1524956480 1554322196 1575326550 1580666640 1586024832 1601204304 1652109200 1665345210 1667921150 1670990448 1680348320 1708828800 1731031680 1740615050 1776368224 1800373200 1806476160 1809270400 1829947776 1888124800 1906195600 1942902745 1949488856 1975833300 1982531040 2001505380 2016417984 2053925759 2088738060 2100435400 2107555520 2134939072 2163789600 2220460280 2227987264 2258095200 2287434720 2331483294 2400497600 2436861070 2478163800 2501881725 2520522480 2529066624 2610922575 2634444400 2643374720 2664552336 2668673840 2713905600 2775575350 2784984080 2832187200 2859293400 2880597120 2885052800 2924233284 3010793600 3049912960 3108644392 3150653100 3161333280 3202408608 3304218400 3330690420 3335842300 3341980896 3360696640 3481230100 3552736448 3600746400 3655291605 3812391200 3885805490 3898977712 3951666600 3965062080 4003010760 4032835968 4107851518 4163363025 4177476120 4200870800 4215111040 4269878144 4327579200 4440920560 4455974528 4516190400 4574869440 4662966588 4800995200 4873722140 4956327600 5003763450 5041044960 5221845150 5268888800 5329104672 5337347680 5427811200 5551150700 5569968160 5664374400 5718586800 5828708235 5848466568 6092152675 6161777277 6217288784 6301306200 6322666560 6404817216 6608436800 6661380840 6671684600 6683961792 6721393280 6962460200 7105472896 7201492800 7310583210 7624782400 7771610980 7797955424 7903333200 7930124160 8006021520 8215703036 8326726050 8354952240 8401741600 8655158400 8881841120 9032380800 9149738880 9325933176 9714513725 9747444280 9912655200 10007526900 10082089920 10269628795 10443690300 10537777600 10658209344 10674695360 11102301400 11139936320 11437173600 11657416470 11696933136 12184305350 12323554554 12434577568 12602612400 12645333120 12809634432 13216873600 13322761680 13343369200 13367923584 13924920400 14377480313 14402985600 14621166420 15249564800 15543221960 15595910848 15806666400 16012043040 16431406072 16653452100 16709904480 16803483200 17763682240 18276458025 18651866352 19429027450 19494888560 19825310400 20015053800 20164179840 20539257590 20887380600 21075555200 21316418688 21349390720 22204602800 22279872640 22874347200 23314832940 23393866272 24368610700 24647109108 24869155136 25205224800 26645523360 26686738400 27849840800 28754960626 29143541175 29242332840 30808886385 31086443920 31191821696 31613332800 32024086080 32862812144 33306904200 33419808960 33606966400 35527364480 36552916050 37303732704 38858054900 38989777120 39650620800 40030107600 41078515180 41774761200 43132440939 44409205600 45748694400 46629665880 46787732544 48737221400 49294218216 49738310272 50410449600 51348143975 53291046720 53373476800 55699681600 57509921252 58287082350 58484665680 61617772770 62172887840 63226665600 64048172160 65725624288 66613808400 66839617920 71887401565 73105832100 74607465408 77716109800 77979554240 80060215200 82157030360 83549522400 86264881878 88818411200 93259331760 93575465088 97474442800 98588436432 100820899200 102696287950 106582093440 106746953600 111399363200 115019842504 116574164700 116969331360 123235545540 124345775680 131451248576 133227616800 143774803130 146211664200 149214930816 154044431925 155432219600 155959108480 160120430400 164314060720 167099044800 172529763756 177636822400 186518663520 194948885600 197176872864 205392575900 215662204695 230039685008 233148329400 233938662720 246471091080 248691551360 262902497152 266455233600 287549606260 292423328400 308088863850 310864439200 320240860800 328628121440 334198089600 345059527512 359437007825 373037327040 389897771200 394353745728 410785151800 431324409390 460079370016 466296658800 467877325440 492942182160 532910467200 575099212520 584846656800 616177727700 621728878400 657256242880 690119055024 718874015650 746074654080 779795542400 788707491456 821570303600 862648818780 920158740032 932593317600 985884364320 1078311023475 1150198425040 1169693313600 1232355455400 1243457756800 1314512485760 1380238110048 1437748031300 1643140607200 1725297637560 1840317480064 1865186635200 1971768728640 2156622046950 2300396850080 2339386627200 2464710910800 2760476220096 2875496062600 3286281214400 3450595275120 3730373270400 3943537457280 4313244093900 4600793700160 4929421821600 5520952440192 5750992125200 6572562428800 6901190550240 8626488187800 9201587400320 9858843643200 11501984250400 13802381100480 17252976375600 19717687286400 23003968500800 27604762200960 34505952751200 46007937001600 69011905502400 138023811004800
- Sum of all divisors σ(n): 544447018160640
- Sum of proper divisors (its aliquot sum) s(n): 406423207155840
- 138023811004800 is an abundant number, because the sum of its proper divisors (406423207155840) is greater than itself. Its abundance is 268399396151040
Bases of 138023811004800
- Binary: 111110110001000001011000011100110111001100000002
- Hexadecimal: 0x7D882C39B980
- Base-36: 1CXB9HEIDC
Squares and roots of 138023811004800
- 138023811004800 squared (1380238110048002) is 19050572404288749585623040000
- 138023811004800 cubed (1380238110048003) is 2629432605062808709772948788216430592000000
-
The
square root of 138023811004800 is 11748353.5444248527 -
The
cube root of 138023811004800 is 51679.4645005649
Scales and comparisons
How big is 138023811004800?- 138,023,811,004,800 seconds is equal to 4,388,730 years, 13 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 138,023,811,004,800 would take you about ten million, nine hundred seventy-one thousand, eight hundred twenty-five 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 138023811004800 cubic inches would be around 4306.6 feet tall.
Recreational maths with 138023811004800
- 138023811004800 backwards is 008400118320831
- The number of decimal digits it has is: 15
- The sum of 138023811004800's digits is 39
- More coming soon!
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"Number 138023811004800 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138023811004800 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138023811004800/
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The information we have on file for 138023811004800 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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