138378655478700
138,378,655,478,700 is an even composite number composed of seven prime numbers multiplied together.
138378655478700 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 138378655478700:
22 × 34 × 52 × 7 × 132 × 533 × 97
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 53 × 53 × 53 × 97)See below for interesting mathematical facts about the number 138378655478700 from the Numbermatics database.
Names of 138378655478700
- Cardinal: 138378655478700 can be written as One hundred thirty-eight trillion, three hundred seventy-eight billion, six hundred fifty-five million, four hundred seventy-eight thousand, seven hundred.
Scientific notation
- Scientific notation: 1.383786554787 × 1014
Factors of 138378655478700
Divisors of 138378655478700
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 25 26 27 28 30 35 36 39 42 45 50 52 53 54 60 63 65 70 75 78 81 84 90 91 97 100 105 106 108 117 126 130 135 140 150 156 159 162 169 175 180 182 189 194 195 210 212 225 234 252 260 265 270 273 291 300 315 318 324 325 338 350 351 364 371 378 388 390 405 420 450 455 468 477 485 507 525 530 540 546 567 582 585 630 636 650 675 676 679 689 700 702 742 756 780 795 810 819 845 873 900 910 945 954 970 975 1014 1050 1053 1060 1092 1113 1134 1164 1170 1183 1260 1261 1300 1325 1350 1358 1365 1378 1404 1431 1455 1484 1521 1575 1590 1620 1638 1690 1746 1755 1820 1855 1890 1908 1940 1950 2025 2028 2037 2067 2100 2106 2226 2268 2275 2340 2366 2385 2425 2457 2522 2535 2619 2650 2700 2716 2730 2756 2809 2835 2862 2910 2925 3042 3150 3180 3276 3339 3380 3395 3445 3492 3510 3549 3710 3780 3783 3900 3975 4050 4074 4095 4134 4212 4225 4293 4365 4452 4550 4563 4725 4732 4770 4823 4850 4914 5044 5070 5141 5238 5265 5300 5460 5565 5618 5670 5724 5820 5850 5915 6084 6111 6201 6300 6305 6678 6790 6825 6890 7020 7098 7155 7275 7371 7420 7566 7605 7857 7950 8100 8148 8190 8268 8427 8450 8586 8730 8775 8827 8957 9100 9126 9275 9450 9540 9646 9700 9828 10017 10140 10185 10282 10335 10476 10530 10647 11130 11236 11340 11349 11700 11830 11925 12222 12285 12402 12610 12675 13095 13356 13580 13650 13689 13780 14045 14175 14196 14310 14469 14550 14742 15132 15210 15423 15714 15900 16380 16393 16695 16854 16900 16975 17172 17225 17460 17550 17654 17745 17914 18252 18333 18550 18603 18900 18915 19292 19663 20034 20370 20475 20564 20670 21060 21294 21465 21825 22260 22698 22815 23660 23850 24115 24444 24570 24804 25220 25281 25350 25705 26190 26325 26481 26871 27300 27378 27825 28090 28350 28620 28938 29100 29484 29575 30051 30420 30555 30846 31005 31428 31525 31941 32786 33390 33708 33950 34047 34450 35100 35308 35490 35775 35828 35987 36517 36666 36855 37100 37206 37830 38025 39285 39326 40068 40740 40950 41340 42135 42588 42930 43407 43650 44135 44785 45396 45630 46269 47700 48230 49140 49179 50085 50562 50700 50925 51410 51675 52380 52650 52962 53235 53742 54756 54999 55650 55809 56180 56700 56745 57876 58989 59150 60102 61110 61425 61692 62010 62699 63050 63882 65475 65572 66780 66833 67900 68094 68445 68900 70225 70980 71550 71974 72345 73034 73332 73710 74412 75660 75843 76050 77115 78570 78652 79443 80613 81900 81965 83475 84270 85860 86814 87300 88270 88725 89570 91260 91665 92538 93015 94575 95823 96460 98315 98358 100170 101124 101850 102141 102820 103350 105300 105924 106470 107325 107484 107961 109551 109998 111300 111618 113490 114075 114751 117978 118300 120204 120575 122220 122850 124020 125398 126100 126405 127764 128525 130221 130950 132405 133666 134355 136188 136890 138807 140450 143100 143948 144690 146068 147420 147537 148877 150255 151686 152100 152775 154230 155025 157140 158886 159705 161226 163930 166950 168540 170235 173628 176540 176967 177450 179140 179935 182585 183330 184275 185076 186030 188097 189150 191646 196425 196630 196716 200340 200499 203700 204282 206700 210675 212940 214650 215922 217035 219102 219996 220675 223236 223925 226980 227529 228150 229502 231345 235956 238329 241150 241839 245700 245895 250425 250796 252810 255619 257050 260442 261900 264810 266175 267332 268710 272473 273780 274995 277614 279045 280900 283725 289380 294945 295074 297754 300510 303372 305550 308460 310050 313495 317772 319410 322452 323883 327860 328653 333900 334165 340470 342225 344253 353934 354900 359870 361725 365170 366660 368550 372060 376194 378300 379215 383292 385575 390663 392850 393260 397215 400998 403065 408564 409825 416421 421350 429300 431844 434070 438204 441350 442611 446631 447850 455058 456300 458325 459004 462690 465075 467831 474721 476658 479115 482300 483678 491575 491790 500850 505620 510705 511238 514100 520884 529620 530901 532350 537420 539805 544946 547755 549990 555228 558090 564291 567450 573755 589890 590148 595508 601020 601497 611100 620100 626990 632025 638820 647766 651105 657306 662025 668330 671775 680940 684450 688506 694035 707868 714987 719740 723450 725517 730340 737100 737685 744385 751275 752388 758430 766857 771150 781326 785700 794430 798525 801996 806130 817419 819650 832842 842700 851175 868140 868829 882700 884835 885222 893262 895700 899675 910116 912925 916650 925380 930150 935662 940485 949442 953316 958230 967356 971649 983150 983580 985959 1001700 1002495 1021410 1022476 1032759 1042139 1061802 1064700 1079610 1085175 1089892 1095510 1099980 1116180 1128582 1134900 1137645 1147510 1156725 1179780 1191645 1202994 1209195 1229475 1253980 1264050 1278095 1295532 1302210 1314612 1324050 1327833 1336660 1339893 1343550 1362365 1368900 1374975 1377012 1388070 1395225 1403493 1424163 1429974 1446900 1451034 1474725 1475370 1488770 1502550 1516860 1533714 1542300 1562652 1567475 1588860 1592703 1597050 1612260 1619415 1634838 1639300 1643265 1665684 1670825 1692873 1702350 1721265 1737658 1769670 1770444 1786524 1799350 1804491 1825850 1833300 1860300 1871324 1880970 1896075 1898884 1907311 1916460 1935401 1943298 1953315 1966300 1971918 1986075 2004990 2015325 2042820 2065518 2082105 2084278 2123604 2159220 2170350 2191020 2213055 2233155 2257164 2275290 2295020 2300571 2313450 2339155 2373605 2383290 2395575 2405988 2418390 2452257 2458950 2528100 2553525 2556190 2604420 2606487 2648100 2654505 2655666 2679786 2687100 2699025 2724730 2738775 2749950 2776140 2790450 2806986 2821455 2848326 2859948 2868775 2902068 2914947 2949450 2950740 2957877 2977540 3005100 3007485 3067428 3098277 3126417 3134950 3185406 3194100 3238830 3255525 3269676 3286530 3323047 3341650 3385746 3404700 3442530 3470175 3475316 3539340 3542149 3574935 3598700 3608982 3627585 3651700 3688425 3721925 3761940 3792150 3814622 3834285 3870802 3886596 3906630 3943836 3972150 4009980 4019679 4030650 4087095 4131036 4164210 4168556 4210479 4272489 4340700 4344145 4424175 4426110 4466310 4550580 4601142 4626900 4678310 4702425 4747210 4766580 4791150 4836780 4858245 4904514 4917900 4929795 5012475 5078619 5107050 5112380 5163795 5210695 5212974 5309010 5311332 5359572 5398050 5413473 5449460 5477550 5499900 5580900 5613972 5642910 5688225 5696652 5721933 5737550 5806203 5829894 5898900 5915754 5958225 6014970 6045975 6081803 6196554 6252834 6269900 6370812 6390475 6477660 6511050 6573060 6639165 6646094 6683300 6699465 6771492 6811825 6885060 6901713 6940350 7017465 7084298 7120815 7149870 7217964 7255170 7356771 7376850 7443850 7584300 7629244 7668570 7741604 7813260 7819461 7944300 7963515 8039358 8061300 8097075 8174190 8216325 8328420 8420958 8464365 8544978 8606325 8688290 8848350 8852220 8932620 9022455 9202284 9294831 9356620 9379251 9404850 9494420 9536555 9582300 9677005 9716490 9766575 9809028 9859590 9969141 10024950 10157238 10214100 10327590 10410525 10421390 10425948 10618020 10626447 10796100 10826946 10955100 11065275 11165775 11285820 11376450 11443866 11475100 11502855 11612406 11659788 11695775 11831508 11868025 11916450 12029940 12059037 12091950 12163606 12261285 12393108 12505668 12631437 12780950 12817467 13022100 13032435 13272525 13278330 13292188 13398930 13547807 13623650 13803426 13880700 14034930 14107275 14168596 14241630 14299740 14441069 14510340 14574735 14713542 14753700 14789385 14887700 15037425 15337140 15491385 15632085 15638922 15927030 16078716 16194150 16348380 16432650 16615235 16841916 16928730 17089956 17165799 17212650 17376580 17418609 17696700 17710745 17874675 18044910 18137925 18245409 18589662 18758502 18809700 19073110 19171425 19354010 19432980 19533150 19719180 19938282 20049900 20098395 20314476 20435475 20655180 20705139 20821050 20842780 21052395 21252894 21362445 21653892 21720725 22070313 22130550 22331550 22752900 22887732 23005710 23224812 23391550 23458383 23736050 23832900 24118074 24183900 24291225 24327212 24522570 24648975 24795043 25160213 25262874 25393095 25561900 25634934 25818975 26053475 26064870 26545050 26556660 26797860 27067365 27095614 27247300 27606852 28069860 28137753 28214550 28483260 28609665 28882138 29031015 29149470 29427084 29578770 29907423 30074850 30409015 30982770 31264170 31277844 31854060 31879341 32388300 32865300 33195825 33230470 33497325 33857460 34331598 34425300 34508565 34837218 35087325 35421490 35604075 35749350 36089820 36275850 36490818 36783855 37179324 37517004 37894311 38146220 38342850 38452401 38708020 39066300 39097305 39817575 39876564 40196790 40643421 40870950 41410278 41642100 42104790 42321825 42505788 42724890 43323207 43441450 44140626 44261100 44663100 45112275 46011420 46047937 46474155 46783100 46896255 46916766 47472100 47682775 48236148 48385025 48582450 49045140 49297950 49590086 49845705 50320426 50525748 50786190 51269868 51497397 51637950 52106950 52129740 52255827 53090100 53132235 54134730 54191228 54736227 56275506 56429100 57219330 57514275 57764276 58062030 58298940 59157540 59814846 60149700 60295185 60818030 61306425 61965540 62528340 63157185 63758682 64087335 65162175 66391650 66460940 66994650 67739035 68663196 69017130 69674436 70174650 70375149 70842980 71208150 71498700 72205345 72551700 72873675 72981636 73567710 73946925 74385129 75480639 75788622 76685700 76904802 77456925 78160425 78194610 79635150 80393580 81286842 81741900 82820556 83076175 84209580 84413259 84643650 85449780 85828995 86646414 86882900 87093045 88281252 88553725 89722269 90224550 91227045 92095874 92948310 93792510 93833532 95365550 95638023 96770050 97164900 98595900 99180172 99691410 100491975 100640852 101087483 101572380 102994794 103275900 103525695 104213900 104511654 105261975 106264470 106812225 108269460 109472454 110351565 112551012 114438660 115028550 116124060 117291915 119629692 120590370 121636060 121930263 122612850 123975215 125801065 126314370 126965475 127517364 128174670 129969621 130324350 132783300 133989300 135336825 135478070 138034260 138143811 140349300 140688765 140750298 142416300 143048325 144410690 145155075 145747350 147135420 147893850 148770258 149537115 150961278 151577244 152045075 153809604 154492191 154913850 156320850 156389220 156767481 159270300 159396705 162573684 164208681 166152350 168826518 169287300 171657990 172542825 173292828 174186090 176121491 177107450 179444538 180449100 182454090 183919275 184191748 185896620 187585020 187733897 189471555 190731100 191276046 192262005 193540100 195486525 199382820 200983950 202174966 203217105 205989588 207051390 209023308 210523950 212528940 213624450 216616035 218944908 220703130 223155387 226441917 230057100 230239685 232370775 234481275 234583830 241180740 243860526 245225700 247950430 249228525 251602130 252628740 253930950 256349340 257486985 259939242 260648700 261279135 265661175 269166807 270673650 270956140 273681135 276287622 281377530 281500596 286096650 286914069 288821380 290310150 291494700 295787700 297540516 299074230 301475925 301922556 303262449 304090150 308984382 309827700 312641700 313534962 315785925 318793410 320436675 322335559 328417362 332304700 337653036 338695175 343315980 345085650 348372180 351875745 352242982 354214900 358889076 361026725 364908180 365790789 367838550 371925645 375467794 377403195 378943110 382552092 384524010 389908863 390973050 401967900 404349932 406434210 414102780 414431433 421047900 422066295 427248900 429144975 433232070 435465225 441406260 446310774 448611345 452883834 456135225 460479370 464741550 468962550 469167660 478190115 487721052 492626043 495900860 498457050 503204260 505437415 507861900 514973970 517628475 519878484 522558270 528364473 531322350 538333614 541347300 547362270 551757825 552575244 562755060 563201691 572193300 573828138 580620300 586459575 598148460 602951850 606524898 608180300 609651315 617968764 619876075 627069924 629005325 631571850 637586820 640873350 644671118 649848105 656834724 669466161 677390350 679325751 690171300 690719055 703443825 703751490 704485964 722053450 731581578 735677100 743851290 747685575 750935588 754806390 757886220 769048020 772460955 779817726 781946100 783837405 796983525 812868420 821043405 828862866 844132590 858289950 866464140 870930450 880607455 892621548 897222690 905767668 909787347 912270450 920958740 929483100 937925100 938669485 947357775 956380230 961310025 967006677 985252086 996914100 1010874830 1016085525 1029947940 1035256950 1045116540 1056728946 1062644700 1076667228 1083080175 1094724540 1097372367 1103515650 1115776935 1126403382 1132209585 1147656276 1151198425 1169726589 1172919150 1205903700 1213049796 1219302630 1239752150 1243294299 1258010650 1263143700 1281746700 1287434925 1289342236 1299696210 1306395675 1314137279 1338932322 1345834035 1354780700 1358651502 1368405675 1381438110 1406887650 1407502980 1434570345 1444106900 1463163156 1487702580 1495371150 1509612780 1516312245 1544921910 1559635452 1567674810 1585093419 1593967050 1611677795 1642086810 1657725732 1688265180 1689605073 1716579900 1741860900 1759378725 1761214910 1794445380 1819574694 1824540900 1828953945 1859628225 1877338970 1887015975 1894715550 1912760460 1922620050 1934013354 1949544315 1970504172 2008398483 2021749660 2032171050 2037977253 2070513900 2072157165 2110331475 2113457892 2166160350 2194744734 2207031300 2231553870 2243056725 2252806764 2264419170 2302396850 2339453178 2345838300 2390950575 2438605260 2440540661 2463130215 2479504300 2486588598 2516021300 2527187075 2574869850 2599392420 2612791350 2628274558 2641822365 2677864644 2691668070 2717303004 2729362041 2736811350 2762876220 2813775300 2816008455 2869140690 2901020031 2990742300 3032624490 3048256575 3089843820 3135349620 3170186838 3187934100 3223355590 3249240525 3284173620 3347330805 3379210146 3396628755 3453595275 3518757450 3522429820 3639149388 3657907890 3719256450 3729882897 3754677940 3774031950 3789431100 3845240100 3862304775 3868026708 3899088630 3919187025 3942411837 4016796966 4064342100 4075954506 4105217025 4144314330 4220662950 4332320700 4389489468 4403037275 4463107740 4486113450 4528838340 4548936735 4604793700 4678906356 4693347425 4755280257 4781901150 4835033385 4881081322 4926260430 4973177196 5054374150 5068815219 5149739700 5225582700 5256549116 5283644730 5383336140 5458724082 5473622700 5486861835 5578884675 5632016910 5661047925 5738281380 5802040062 5848632945 6065248980 6096513150 6216471495 6340373676 6446711180 6498481050 6570686395 6694661610 6729170175 6758420292 6793257510 6907190550 7037514900 7172851725 7315815780 7321621983 7438512900 7459765794 7548063900 7581561225 7724609550 7798177260 7838374050 7884823674 7925467095 8033593932 8058388975 8151909012 8188086123 8210434050 8288628660 8441325900 8448025365 8703060093 8806074550 8972226900 9097873470 9144769725 9386694850 9510560514 9563802300 9670066770 9747721575 9762162644 9852520860 10041992415 10108748300 10137630438 10189886265 10360785825 10567289460 10917448164 10973723670 11157769350 11264033820 11322095850 11604080124 11697265890 11827235511 12193026300 12202703305 12315651075 12432942990 12996962100 13141372790 13209111825 13389323220 13458340350 13586515020 13646810205 13814381100 14080042275 14265840771 14345703450 14505100155 14643243966 14919531588 15163122450 15206445657 15449219100 15676748100 15769647348 15850934190 16116777950 16376172246 16420868100 16736654025 16896050730 16983143775 17083784627 17406120186 17612149100 18195746940 18289539450 18649414485 18773389700 19021121028 19340133540 19495443150 19712059185 20083984830 20275260876 20379772530 20721571650 21947447340 21964865949 22315538700 22644191700 22744683675 23394531780 23654471022 23776401285 24175166925 24405406610 24631302150 24865885980 25344076095 26109180279 26282745580 26418223650 26916680700 27293620410 27434309175 28160084550 28531681542 28691406900 29010200310 29243164725 29286487932 30326244900 30412891314 31082357475 31701868380 32233555900 32752344492 32853431975 33473308050 33792101460 33966287550 34167569254 34812240372 35481706533 36579078900 36608109915 37298828970 38990886300 39424118370 39627335475 40167969660 40759545060 40940430615 41443143300 42240126825 43515300465 43929731898 45489367350 47308942044 47552802570 48350333850 48810813220 49262604300 50209962075 50688152190 50949431325 51251353881 52218360558 52836447300 54587240820 54868618350 56320169100 57063363084 58020400620 58486329450 59136177555 60825782628 61013516525 62164714950 65706863950 65894597847 66946616100 67932575100 68234051025 68335138508 70963413066 71329203855 72525500775 73216219830 74597657940 76032228285 78848236740 79254670950 81880861230 84480253650 85418923135 87030600930 87859463796 90978734700 93247072425 95105605140 96700667700 98560295925 100419924150 101376304380 101898862650 102502707762 104436721116 106445119599 109737236700 109824329745 116972658900 118272355110 118882006425 122027033050 124329429900 126720380475 130545901395 131413727900 131789195694 136468102050 141926826132 142658407710 145051001550 146432439660 152064456570 153754061643 158509341900 163761722460 168960507300 170837846270 174061201860 177408532665 183040549575 186494144850 197120591850 197683793541 200839848300 203797725300 204702153075 205005415524 212890239198 217576502325 219648659490 236544710220 237764012850 244054066100 253440760950 256256769405 261091802790 263578391388 272936204100 285316815420 290102003100 295680887775 304128913140 307508123286 329472989235 341675692540 354817065330 356646019275 366081099150 372988289700 380161141425 394241183700 395367587082 409404306150 425780478396 427094615675 435153004650 439297318980 461262184929 475528025700 506881521900 512513538810 522183605580 532225597995 549121648725 591361775550 615016246572 652729506975 658945978470 709634130660 713292038550 732162198300 760322282850 768770308215 790735174164 818808612300 854189231350 870306009300 887042663325 922524369858 988418967705 1025027077620 1064451195990 1098243297450 1182723551100 1281283847025 1305459013950 1317891956940 1383786554787 1426584077100 1520644565700 1537540616430 1647364946175 1708378462700 1774085326650 1845048739716 1976837935410 2128902391980 2196486594900 2306310924645 2562567694050 2610918027900 2661127989975 2767573109574 3075081232860 3294729892350 3548170653300 3843851541075 3953675870820 4612621849290 4942094838525 5125135388100 5322255979950 5535146219148 6589459784700 6918932773935 7687703082150 9225243698580 9884189677050 10644511959900 11531554623225 13837865547870 15375406164300 19768379354100 23063109246450 27675731095740 34594663869675 46126218492900 69189327739350 138378655478700
- Sum of all divisors σ(n): 571626476688960
- Sum of proper divisors (its aliquot sum) s(n): 433247821210260
- 138378655478700 is an abundant number, because the sum of its proper divisors (433247821210260) is greater than itself. Its abundance is 294869165731560
Bases of 138378655478700
- Binary: 111110111011010110010101001101010110011101011002
- Hexadecimal: 0x7DDACA9AB3AC
- Base-36: 1D1U9YN2R0
Squares and roots of 138378655478700
- 138378655478700 squared (1383786554787002) is 19148652292092749526153690000
- 138378655478700 cubed (1383786554787003) is 2649764758408921666905834143656721403000000
-
The
square root of 138378655478700 is 11763445.7315320665 -
The
cube root of 138378655478700 is 51723.7140627845
Scales and comparisons
How big is 138378655478700?- 138,378,655,478,700 seconds is equal to 4,400,013 years, 10 weeks, 6 days, 18 hours, 45 minutes.
-
To count from 1 to 138,378,655,478,700 would take you about eleven million and thirty-three 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 138378655478700 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138378655478700
- 138378655478700 backwards is 007874556873831
- The number of decimal digits it has is: 15
- The sum of 138378655478700's digits is 72
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138378655478700 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 138378655478700 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138378655478700/
Chicago style:
Numbermatics. 2024. "Number 138378655478700 - Facts about the integer". https://numbermatics.com/n/138378655478700/
The information we have on file for 138378655478700 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 138378655478700, math, Factors of 138378655478700, curriculum, school, college, exams, university, Prime factorization of 138378655478700, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred seventy-eight billion, six hundred fifty-five million, four hundred seventy-eight thousand, seven hundred.