138036826097280
138,036,826,097,280 is an even composite number composed of seven prime numbers multiplied together.
138036826097280 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138036826097280:
27 × 34 × 5 × 112 × 17 × 61 × 21221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 17 × 61 × 21221)See below for interesting mathematical facts about the number 138036826097280 from the Numbermatics database.
Names of 138036826097280
- Cardinal: 138036826097280 can be written as One hundred thirty-eight trillion, thirty-six billion, eight hundred twenty-six million, ninety-seven thousand, two hundred eighty.
Scientific notation
- Scientific notation: 1.3803682609728 × 1014
Factors of 138036826097280
Divisors of 138036826097280
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 27 30 32 33 34 36 40 44 45 48 51 54 55 60 61 64 66 68 72 80 81 85 88 90 96 99 102 108 110 120 121 122 128 132 135 136 144 153 160 162 165 170 176 180 183 187 192 198 204 216 220 240 242 244 255 264 270 272 288 297 305 306 320 324 330 340 352 360 363 366 374 384 396 405 408 432 440 459 480 484 488 495 510 528 540 544 549 561 576 594 605 610 612 640 648 660 671 680 704 720 726 732 748 765 792 810 816 864 880 891 915 918 935 960 968 976 990 1020 1037 1056 1080 1088 1089 1098 1122 1152 1188 1210 1220 1224 1296 1320 1342 1360 1377 1408 1440 1452 1464 1485 1496 1530 1584 1620 1632 1647 1683 1728 1760 1782 1815 1830 1836 1870 1920 1936 1952 1980 2013 2040 2057 2074 2112 2160 2176 2178 2196 2244 2295 2376 2420 2440 2448 2592 2640 2684 2720 2745 2754 2805 2880 2904 2928 2970 2992 3060 3111 3168 3240 3264 3267 3294 3355 3366 3456 3520 3564 3630 3660 3672 3740 3872 3904 3960 4026 4080 4114 4148 4224 4320 4356 4392 4455 4488 4590 4752 4840 4880 4896 4941 5049 5184 5185 5280 5368 5440 5445 5490 5508 5610 5760 5808 5856 5940 5984 6039 6120 6171 6222 6336 6480 6528 6534 6588 6710 6732 6885 7040 7128 7260 7320 7344 7381 7480 7744 7808 7920 8052 8160 8228 8235 8296 8415 8640 8712 8784 8910 8976 9180 9333 9504 9680 9760 9792 9801 9882 10065 10098 10285 10368 10370 10560 10736 10880 10890 10980 11016 11220 11407 11616 11712 11880 11968 12078 12240 12342 12444 12672 12960 13068 13176 13420 13464 13770 14256 14520 14640 14688 14762 14960 15147 15488 15555 15840 16104 16320 16335 16456 16470 16592 16830 17280 17424 17568 17820 17952 18117 18360 18513 18666 19008 19360 19520 19584 19602 19764 20130 20196 20570 20740 21120 21221 21472 21780 21960 22032 22143 22440 22814 23232 23424 23760 23936 24156 24480 24684 24705 24888 25245 25920 26136 26352 26840 26928 27540 27999 28512 29040 29280 29376 29524 29920 30195 30294 30855 31110 31680 32208 32640 32670 32912 32940 33184 33660 34221 34848 35136 35640 35904 36234 36720 36905 37026 37332 38016 38720 39040 39204 39528 40260 40392 41140 41480 42442 42944 43560 43920 44064 44286 44880 45628 46464 46665 47520 48312 48960 49005 49368 49410 49776 50490 51840 52272 52704 53680 53856 54351 55080 55539 55998 57024 57035 58080 58560 58752 59048 59840 60390 60588 61710 62220 63360 63663 64416 65340 65824 65880 66368 66429 67320 68442 69696 70272 71280 71808 72468 73440 73810 74052 74664 75735 77440 78408 79056 80520 80784 82280 82960 83997 84884 85888 87120 87840 88128 88572 89760 90585 91256 92565 93330 95040 96624 97920 98010 98736 98820 99552 100980 102663 104544 105408 106105 107360 107712 108702 110160 110715 111078 111996 114048 114070 116160 117120 118096 119680 120780 121176 123420 124440 125477 127326 128832 130680 131648 131760 132736 132858 134640 136884 139392 139995 142560 144936 146880 147620 148104 149328 151470 156816 158112 161040 161568 164560 165920 166617 167994 169768 171105 174240 175680 176256 177144 179520 181170 182512 185130 186660 190080 190989 193248 196020 197472 197640 199104 199287 201960 205326 209088 210816 212210 214720 215424 217404 220320 221430 222156 223992 228140 232320 233431 236192 241560 242352 246840 248880 250954 254652 257664 261360 263296 263520 265716 269280 271755 273768 277695 279990 285120 289872 293760 295240 296208 298656 302940 307989 313632 316224 318315 322080 323136 329120 331840 332145 333234 335988 339536 342210 348480 351360 354288 359040 360757 362340 365024 370260 373320 376431 381978 386496 392040 394944 395280 398208 398574 403920 410652 418176 419985 424420 429440 434808 440640 442860 444312 447984 456280 466862 472384 483120 484704 493680 497760 501908 509304 513315 522720 527040 531432 538560 543510 547536 555390 559980 570240 572967 579744 590480 592416 597312 597861 605880 615978 627264 627385 632448 636630 644160 646272 658240 663680 664290 666468 671976 679072 684420 696960 700293 708576 721514 724680 730048 740520 746640 752862 763956 772992 784080 789888 790560 797148 807840 821304 833085 839970 848840 869616 881280 885720 888624 895968 912560 923967 933724 944768 954945 966240 969408 987360 995520 996435 1003816 1018608 1026630 1045440 1054080 1062864 1077120 1082271 1087020 1095072 1110780 1119960 1129293 1145934 1159488 1167155 1180960 1184832 1194624 1195722 1211760 1231956 1254528 1254770 1273260 1288320 1294481 1316480 1328580 1332936 1343952 1358144 1368840 1400586 1417152 1443028 1449360 1460096 1481040 1493280 1505724 1527912 1539945 1568160 1581120 1594296 1615680 1642608 1666170 1679940 1697680 1718901 1739232 1771440 1777248 1791936 1803785 1825120 1847934 1867448 1882155 1909890 1932480 1938816 1974720 1991040 1992870 2007632 2037216 2053260 2090880 2100879 2125728 2164542 2174040 2190144 2221560 2239920 2258586 2291868 2318976 2334310 2361920 2369664 2391444 2423520 2463912 2509540 2546520 2567741 2588962 2657160 2665872 2687904 2716288 2737680 2801172 2834304 2864835 2886056 2898720 2962080 2986560 2989305 3011448 3055824 3079890 3136320 3162240 3188592 3231360 3246813 3285216 3332340 3359880 3387879 3395360 3437802 3478464 3501465 3542880 3554496 3583872 3607570 3650240 3695868 3734896 3764310 3819780 3864960 3883443 3949440 3968327 3985740 4015264 4074432 4106520 4201758 4251456 4329084 4348080 4380288 4443120 4479840 4517172 4583736 4619835 4668620 4723840 4782888 4847040 4927824 5019080 5093040 5135482 5177924 5314320 5331744 5375808 5411355 5475360 5602344 5646465 5729670 5772112 5797440 5924160 5973120 5978610 6022896 6111648 6159780 6272640 6302637 6377184 6472405 6493626 6570432 6664680 6719760 6775758 6790720 6875604 6956928 7002930 7085760 7108992 7215140 7300480 7391736 7469792 7528620 7639560 7703223 7766886 7936654 7971480 8030528 8148864 8213040 8403516 8502912 8594505 8658168 8696160 8886240 8959680 9034344 9167472 9239670 9337240 9565776 9694080 9740439 9855648 10038160 10163637 10186080 10270964 10355848 10504395 10628640 10663488 10751616 10822710 10950720 11204688 11292930 11459340 11544224 11594880 11650329 11848320 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39422592 39683270 40152640 40654548 40744320 41083856 41423392 42017580 42514560 42717873 43290840 43651597 44012354 44818752 45171720 45837360 46176896 46219338 46601316 47619924 47828880 48183168 48702195 49278240 50421096 50818185 51354820 51779240 51949008 53317440 53758080 54206064 55004832 56023440 56957164 57721120 58251645 58442634 59133888 59524905 60228960 61116480 61625784 62135088 63026370 63493232 63771840 64936260 65704320 66018531 67228128 67757580 68756040 69265344 69329007 69901974 71196455 71429886 72274752 73339776 73917360 74697920 75631644 76526208 77032230 77668860 77923512 79366540 80305280 81309096 82167712 82846784 84035160 85435746 86581680 87303194 88024708 89637504 90343440 91674720 92438676 93202632 94539555 95239848 95657760 97404390 98556480 100842192 101636370 102709640 103558480 103898016 104852961 106634880 107144829 108412128 110009664 110030885 112046880 113914328 115442240 115548345 116503290 116885268 118267776 119049810 120457920 122232960 123251568 124270176 126052740 126986464 127543680 128153619 129872520 130954791 132037062 134456256 135515160 137512080 138530688 138658014 139803948 142392910 142859772 144549504 146106585 147834720 149395840 151263288 154064460 155337720 155847024 156632201 158733080 162618192 164335424 165693568 168070320 170871492 173163360 174606388 174754935 176049416 178574715 180686880 183349440 184877352 186405264 189079110 190479696 191315520 194808780 197112960 198055593 201684384 203272740 205419280 207116960 207796032 207987021 209705922 213589365 214289658 216824256 218257985 220019328 220061770 224093760 227828656 230884480 231096690 233006580 233770536 238099620 240915840 242067947 246503136 248540352 252105480 253972928 256307238 259745040 261909582 264074124 268912512 271030320 275024160 277316028 279607896 284785820 285719544 292213170 295669440 302526576 308128920 310675440 311694048 313264402 317466160 321434487 325236384 328670848 330092655 336140640 341742984 346326720 346645035 349212776 349509870 352098832 357149430 361373760 366698880 369754704 372810528 378158220 380959392 382631040 384460857 389617560 392864373 396111186 403368768 406545480 410838560 414233920 415592064 415974042 419411844 427178730 428579316 433648512 436515970 440123540 448187520 455657312 462193380 466013160 467541072 469896603 476199240 484135894 493006272 497080704 504210960 507945856 512614476 519490080 523819164 524264805 528148248 535724145 542060640 550048320 554632056 559215792 569571640 571439088 584426340 591338880 594166779 605053152 616257840 621350880 623388096 626528804 634932320 640768095 642868974 650472768 654773955 660185310 672281280 683485968 692653440 693290070 698425552 699019740 704197664 714298860 722747520 726203841 739509408 745621056 756316440 761918784 768921714 779235120 783161005 785728746 792222372 806737536 813090960 821677120 828467840 831948084 838823688 854357460 857158632 873031940 880247080 911314624 924386760 932026320 935082144 939793206 952398480 968271788 986012544 990277965 1008421920 1025228952 1038980160 1039935105 1047638328 1048529610 1056296496 1071448290 1084121280 1100096640 1109264112 1118431584 1139143280 1142878176 1153382571 1168852680 1178593119 1188333558 1210106304 1210339735 1232515680 1242701760 1246776192 1253057608 1269864640 1281536190 1285737948 1300945536 1309547910 1320370620 1344562560 1366971936 1386580140 1396851104 1398039480 1408395328 1409689809 1428597720 1452407682 1479018816 1491242112 1512632880 1523837568 1537843428 1558470240 1566322010 1571457492 1584444744 1607172435 1626181920 1643354240 1663896168 1677647376 1708714920 1714317264 1746063880 1760494160 1782500337 1822629248 1848773520 1864052640 1870164288 1879586412 1904796960 1922304285 1936543576 1964321865 1980555930 2016843840 2050457904 2077960320 2079870210 2095276656 2097059220 2112592992 2142896580 2168242560 2178611523 2218528224 2236863168 2278286560 2285756352 2306765142 2337705360 2349483015 2357186238 2376667116 2420212608 2420679470 2465031360 2485403520 2506115216 2539729280 2563072380 2571475896 2619095820 2640741240 2662747417 2733943872 2773160280 2793702208 2796078960 2816790656 2819379618 2857195440 2904815364 2958037632 2970833895 3025265760 3075686856 3116940480 3132644020 3142914984 3168889488 3214344870 3252363840 3327792336 3355294752 3417429840 3428634528 3492127760 3520988320 3535779357 3565000674 3631019205 3697547040 3728105280 3740328576 3759172824 3809593920 3844608570 3873087152 3928643730 3961111860 4033687680 4100915808 4159740420 4190553312 4194118440 4225185984 4229069427 4285793160 4357223046 4437056448 4473726336 4556573120 4571512704 4613530284 4675410720 4698966030 4714372476 4753334232 4841358940 4930062720 5012230432 5126144760 5142951792 5238191640 5281482480 5325494834 5467887744 5546320560 5587404416 5592157920 5638759236 5714390880 5766912855 5809630728 5892965595 5941667790 6050531520 6151373712 6233880960 6265288040 6285829968 6337778976 6428689740 6504727680 6535834569 6655584672 6710589504 6834859680 6857269056 6984255520 7041976640 7048449045 7071558714 7130001348 7262038410 7395094080 7456210560 7518345648 7619187840 7689217140 7746174304 7857287460 7922223720 7988242251 8201831616 8319480840 8381106624 8388236880 8450371968 8458138854 8571586320 8714446092 8874112896 8912501685 9113146240 9227060568 9350821440 9397932060 9428744952 9506668464 9682717880 10024460864 10252289520 10285903584 10476383280 10562964960 10650989668 10893057615 11092641120 11184315840 11277518472 11428781760 11533825710 11619261456 11785931190 11883335580 12101063040 12302747424 12530576080 12571659936 12675557952 12687208281 12857379480 13071669138 13311169344 13313737085 13421179008 13669719360 13714538112 13968511040 14083953280 14096898090 14143117428 14260002696 14524076820 14790188160 15036691296 15378434280 15492348608 15714574920 15844447440 15976484502 16403663232 16638961680 16762213248 16776473760 16916277708 17143172640 17428892184 17678896785 17825003370 18454121136 18701642880 18795864120 18857489904 19013336928 19365435760 19607503707 20048921728 20504579040 20571807168 20952766560 21125929920 21145347135 21301979336 21786115230 22185282240 22368631680 22555036944 22857563520 23067651420 23238522912 23571862380 23766671160 23964726753 24605494848 25061152160 25143319872 25351115904 25374416562 25714758960 26143338276 26622338688 26627474170 27339438720 27937022080 28193796180 28286234856 28520005392 29048153640 30073382592 30756868560 30984697216 31429149840 31688894880 31952969004 32679172845 33277923360 33552947520 33832555416 34286345280 34857784368 35357793570 35650006740 36908242272 37591728240 37714979808 38026673856 38730871520 39215007414 39941211255 41009158080 41143614336 41905533120 42251859840 42290694270 42603958672 43572230460 44370564480 45110073888 46135302840 46477045824 47143724760 47533342320 47929453506 49210989696 50122304320 50286639744 50748833124 51429517920 52286676552 53254948340 56387592360 56572469712 57040010784 58096307280 60146765184 61513737120 62858299680 63377789760 63436041405 63905938008 65358345690 66555846720 67105895040 67665110832 68572690560 69715568736 70715587140 71300013480 71894180259 73816484544 75183456480 75429959616 76053347712 77461743040 78430014828 79882422510 82018316160 83811066240 84581388540 85207917344 87144460920 90220147776 92270605680 92954091648 94287449520 95066684640 95858907012 98037518535 100244608640 101497666248 102859035840 104573353104 106509896680 112775184720 113144939424 114080021568 116192614560 119823633765 123027474240 125716599360 126755579520 126872082810 127811876016 130716691380 133111693440 135330221664 139431137472 141431174280 142600026960 143788360518 147632969088 150366912960 150859919232 154923486080 156860029656 159764845020 169162777080 170415834688 174288921840 180440295552 184541211360 188574899040 190133369280 191717814024 196075037070 202995332496 205718071680 209146706208 213019793360 215682540777 225550369440 226289878848 228160043136 232385229120 239647267530 246054948480 251433198720 253744165620 255623752032 261433382760 270660443328 278862274944 282862348560 285200053920 287576721036 300733825920 313720059312 319529690040 338325554160 340831669376 348577843680 359470901295 369082422720 377149798080 380266738560 383435628048 392150074140 405990664992 418293412416 426039586720 431365081554 451100738880 452579757696 464770458240 479294535060 507488331240 511247504064 522866765520 541320886656 565724697120 570400107840 575153442072 627440118624 639059380080 676651108320 697155687360 718941802590 738164845440 754299596160 766871256096 784300148280 811981329984 836586824832 852079173440 862730163108 902201477760 958589070120 1014976662480 1022495008128 1045733531040 1078412703885 1131449394240 1140800215680 1150306884144 1254880237248 1278118760160 1353302216640 1394311374720 1437883605180 1533742512192 1568600296560 1623962659968 1704158346880 1725460326216 1917178140240 2029953324960 2091467062080 2156825407770 2262898788480 2300613768288 2509760474496 2556237520320 2706604433280 2875767210360 3067485024384 3137200593120 3450920652432 3834356280480 4059906649920 4182934124160 4313650815540 4601227536576 5112475040640 5751534420720 6274401186240 6901841304864 7668712560960 8119813299840 8627301631080 9202455073152 11503068841440 12548802372480 13803682609728 15337425121920 17254603262160 23006137682880 27607365219456 34509206524320 46012275365760 69018413048640 138036826097280
- Sum of all divisors σ(n): 583148210032080
- Sum of proper divisors (its aliquot sum) s(n): 445111383934800
- 138036826097280 is an abundant number, because the sum of its proper divisors (445111383934800) is greater than itself. Its abundance is 307074557837520
Bases of 138036826097280
- Binary: 111110110001011001100111111110001000110100000002
- Hexadecimal: 0x7D8B33FC4680
- Base-36: 1CXH8Q9400
Squares and roots of 138036826097280
- 138036826097280 squared (1380368260972802) is 19054165359010720876023398400
- 138036826097280 cubed (1380368260972803) is 2630176510090579615822772343689034596352000
-
The
square root of 138036826097280 is 11748907.4427063217 -
The
cube root of 138036826097280 is 51681.0888383379
Scales and comparisons
How big is 138036826097280?- 138,036,826,097,280 seconds is equal to 4,389,144 years, 4 weeks, 6 days, 4 hours, 48 minutes.
-
To count from 1 to 138,036,826,097,280 would take you about ten million, nine hundred seventy-two thousand, eight hundred sixty 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 138036826097280 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138036826097280
- 138036826097280 backwards is 082790628630831
- The number of decimal digits it has is: 15
- The sum of 138036826097280's digits is 63
- More coming soon!
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"Number 138036826097280 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
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Numbermatics. (2024). Number 138036826097280 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/138036826097280/
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The information we have on file for 138036826097280 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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