138464920488960
138,464,920,488,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138464920488960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
138464920488960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138464920488960:
210 × 33 × 5 × 13 × 17 × 1272 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 17 × 127 × 127 × 281)See below for interesting mathematical facts about the number 138464920488960 from the Numbermatics database.
Names of 138464920488960
- Cardinal: 138464920488960 can be written as One hundred thirty-eight trillion, four hundred sixty-four billion, nine hundred twenty million, four hundred eighty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3846492048896 × 1014
Factors of 138464920488960
Divisors of 138464920488960
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 27 30 32 34 36 39 40 45 48 51 52 54 60 64 65 68 72 78 80 85 90 96 102 104 108 117 120 127 128 130 135 136 144 153 156 160 170 180 192 195 204 208 216 221 234 240 254 255 256 260 270 272 281 288 306 312 320 340 351 360 381 384 390 408 416 432 442 459 468 480 508 510 512 520 540 544 562 576 585 612 624 635 640 663 680 702 720 762 765 768 780 816 832 843 864 884 918 936 960 1016 1020 1024 1040 1080 1088 1105 1124 1143 1152 1170 1224 1248 1270 1280 1326 1360 1404 1405 1440 1524 1530 1536 1560 1632 1651 1664 1686 1728 1755 1768 1836 1872 1905 1920 1989 2032 2040 2080 2159 2160 2176 2210 2248 2286 2295 2304 2340 2448 2496 2529 2540 2560 2652 2720 2808 2810 2880 3048 3060 3072 3120 3264 3302 3315 3328 3372 3429 3456 3510 3536 3653 3672 3744 3810 3840 3978 4064 4080 4160 4215 4318 4320 4352 4420 4496 4572 4590 4608 4680 4777 4896 4953 4992 5058 5080 5120 5304 5440 5616 5620 5715 5760 5967 6096 6120 6240 6477 6528 6604 6630 6656 6744 6858 6912 7020 7072 7306 7344 7488 7587 7620 7680 7956 8128 8160 8255 8320 8430 8636 8640 8704 8840 8992 9144 9180 9216 9360 9554 9792 9906 9945 9984 10116 10160 10608 10795 10880 10959 11232 11240 11430 11520 11934 12192 12240 12480 12645 12954 13056 13208 13260 13312 13488 13716 13824 14040 14144 14331 14612 14688 14859 14976 15174 15240 15360 15912 16129 16256 16320 16510 16640 16860 17145 17272 17280 17408 17680 17984 18265 18288 18360 18720 19108 19431 19584 19812 19890 19968 20232 20320 21216 21590 21760 21918 22464 22480 22860 23040 23868 23885 24384 24480 24765 24960 25290 25908 26112 26416 26520 26976 27432 27648 28067 28080 28288 28662 29224 29376 29718 29835 29952 30348 30480 31824 32258 32385 32512 32640 32877 33020 33280 33720 34290 34544 34560 35360 35687 35968 36530 36576 36720 37440 37935 38216 38862 39168 39624 39780 39936 40464 40640 42432 42993 43180 43520 43836 44577 44928 44960 45720 46080 47736 47770 48387 48768 48960 49530 49920 50580 51816 52224 52832 53040 53952 54795 54864 56134 56160 56576 57324 58293 58448 58752 59436 59670 59904 60696 60960 62101 63648 64516 64770 65024 65280 65754 66040 66560 67440 68580 69088 69120 70720 71374 71655 71936 73060 73152 73440 74295 74880 75870 76432 77724 78336 79248 79560 80645 80928 81280 84201 84864 85986 86360 87040 87672 89154 89856 89920 91440 95472 95540 96774 97155 97536 97920 98631 99060 99840 101160 103632 105664 106080 107061 107904 109590 109728 112268 112320 113152 114648 116586 116896 117504 118872 119340 119808 121392 121920 124202 127296 128979 129032 129540 130048 130560 131508 132080 134880 137160 138176 138240 140335 141440 142748 143310 143872 145161 146120 146304 146880 148590 149760 151740 152864 155448 156672 158496 159120 161290 161856 162560 164385 168402 169728 171972 172720 175344 178308 178435 179712 179840 182880 186303 190944 191080 193548 194310 195072 195840 197262 198120 199680 202320 207264 209677 211328 212160 214122 214965 215808 219180 219456 222885 224536 224640 226304 229296 233172 233792 235008 237744 238680 241935 242784 243840 248404 252603 254592 257958 258064 259080 261120 263016 264160 269760 274193 274320 276352 280670 282880 285496 286620 287744 290322 291465 292240 292608 293760 297180 299520 303480 305728 310505 310896 316992 318240 321183 322580 323712 325120 328770 336804 339456 343944 345440 350688 356616 356870 359424 359680 365760 372606 381888 382160 387096 388620 390144 391680 394524 396240 404640 414528 419354 421005 422656 424320 428244 429930 431616 435483 438360 438912 445770 449072 449280 458592 463931 466344 467584 470016 475488 477360 483870 485568 487680 493155 496808 505206 509184 515916 516128 518160 526032 528320 535305 539520 548386 548640 552704 558909 561340 565760 570992 573240 580644 582930 584480 585216 587520 594360 599040 606679 606960 611456 621010 621792 629031 633984 636480 642366 644895 645160 647424 650240 657540 673608 678912 687888 690880 701376 713232 713740 719360 725805 731520 745212 757809 763776 764320 774192 777240 783360 789048 792480 809280 822579 829056 838708 842010 845312 848640 856488 859860 863232 870966 876720 877824 891540 898144 898560 917184 927862 931515 932688 935168 950976 954720 963549 967740 971136 975360 986310 993616 1010412 1018368 1031832 1032256 1036320 1048385 1052064 1056640 1070610 1079040 1096772 1097280 1105408 1117818 1122680 1131520 1141984 1146480 1161288 1165860 1168960 1170432 1175040 1188720 1213358 1213920 1222912 1242020 1243584 1258062 1263015 1267968 1272960 1284732 1289790 1290320 1294848 1315080 1347216 1370965 1375776 1381760 1391793 1402752 1426464 1427480 1438720 1451610 1463040 1490424 1515618 1527552 1528640 1548384 1554480 1578096 1584960 1605915 1618560 1645158 1658112 1676727 1677416 1684020 1690624 1697280 1712976 1719720 1741932 1753440 1755648 1783080 1796288 1797120 1820037 1834368 1855724 1863030 1865376 1870336 1887093 1901952 1909440 1927098 1935480 1942272 1950720 1972620 1987232 2020824 2036736 2063664 2064512 2072640 2096770 2104128 2113280 2141220 2158080 2177415 2193544 2194560 2210816 2235636 2245360 2283968 2292960 2319655 2322576 2331720 2337920 2350080 2377440 2426716 2427840 2445824 2467737 2484040 2487168 2516124 2526030 2535936 2545920 2569464 2579580 2580640 2589696 2630160 2694432 2741930 2751552 2763520 2783586 2794545 2805504 2852928 2854960 2903220 2926080 2980848 3031236 3033395 3055104 3057280 3096768 3108960 3145155 3156192 3169920 3211830 3237120 3290316 3316224 3353454 3354832 3368040 3394560 3425952 3439440 3483864 3506880 3511296 3564509 3566160 3592576 3640074 3668736 3711448 3726060 3730752 3740672 3774186 3789045 3803904 3818880 3854196 3870960 3884544 3945240 3974464 4041648 4112895 4127328 4129024 4145280 4175379 4193540 4208256 4226560 4282440 4316160 4354830 4387088 4389120 4471272 4490720 4532249 4567936 4585920 4639310 4645152 4663440 4675840 4754880 4817745 4853432 4855680 4891648 4935474 4968080 4974336 5032248 5052060 5071872 5091840 5138928 5159160 5161280 5260320 5388864 5460111 5483860 5503104 5527040 5567172 5589090 5611008 5661279 5705856 5709920 5806440 5852160 5961696 6062472 6066790 6110208 6114560 6193536 6217920 6290310 6312384 6339840 6423660 6474240 6580632 6632448 6706908 6709664 6736080 6851904 6878880 6958965 6967728 7013760 7129018 7132320 7185152 7280148 7337472 7403211 7422896 7452120 7461504 7548372 7578090 7607808 7637760 7708392 7741920 7769088 7886827 7890480 7948928 8083296 8225790 8254656 8258048 8290560 8350758 8383635 8387080 8416512 8453120 8564880 8709660 8774176 8778240 8942544 8981440 9064498 9100185 9135872 9171840 9278620 9290304 9326880 9351680 9435465 9509760 9635490 9706864 9711360 9870948 9936160 9948672 10064496 10104120 10183680 10277856 10318320 10322560 10520640 10693527 10777728 10920222 10967720 11006208 11054080 11134344 11178180 11222016 11322558 11411712 11419840 11612880 11923392 12124944 12133580 12229120 12338685 12387072 12435840 12526137 12580620 12624768 12679680 12847320 12948480 13161264 13413816 13419328 13472160 13596747 13703808 13757760 13917930 13935456 14027520 14258036 14264640 14370304 14560296 14674944 14806422 14845792 14904240 14923008 15096744 15156180 15215616 15275520 15416784 15483840 15773654 15780960 15897856 16166592 16380333 16451580 16509312 16516096 16581120 16701516 16767270 16774160 16833024 17129760 17419320 17548352 17556480 17822545 17885088 17962880 18128996 18200370 18271744 18343680 18557240 18580608 18653760 18703360 18870930 19019520 19270980 19413728 19422720 19741896 19872320 19897344 20128992 20208240 20555712 20636640 20645120 20876895 21041280 21387054 21555456 21840444 21935440 22012416 22268688 22356360 22645116 22661245 22823424 22839680 23225760 23660481 23846784 24249888 24267160 24458240 24677370 24774144 24871680 25052274 25161240 25249536 25359360 25694640 26322528 26827632 26838656 26944320 27193494 27300555 27407616 27515520 27835860 27870912 28055040 28306395 28516072 28529280 28740608 29120592 29612844 29691584 29808480 29846016 30193488 30312360 30551040 30833568 30967680 31547308 31561920 31795712 32080581 32333184 32760666 32903160 33018624 33162240 33403032 33534540 33548320 33666048 34259520 34838640 35096704 35645090 35770176 35925760 36257992 36400740 36543488 36687360 37016055 37114480 37161216 37307520 37741860 38039040 38541960 38827456 38845440 39434135 39483792 39744640 40257984 40416480 40790241 41111424 41273280 41290240 41753790 42082560 42774108 43110912 43680888 43870880 44024832 44537376 44712720 45290232 45322490 45646848 45679360 46451520 47320962 47693568 48499776 48534320 49354740 49548288 49743360 50104548 50322480 50499072 51389280 52645056 53467635 53655264 53677312 53888640 54386988 54601110 54815232 55031040 55671720 55741824 56110080 56612790 57032144 57058560 58241184 58919237 59225688 59383168 59616960 59692032 60386976 60624720 61667136 61935360 62630685 63094616 63123840 63591424 64161162 64666368 65521332 65806320 66037248 66806064 67069080 67096640 67983735 68519040 69677280 70193408 70981443 71290180 71540352 71851520 72515984 72801480 73374720 74032110 74228960 74322432 74615040 75483720 76078080 77048233 77083920 77654912 78868270 78967584 79489280 80515968 80832960 81580482 81901665 82222848 82546560 82580480 83507580 84165120 85548216 86221824 87361776 87741760 89074752 89425440 90580464 90644980 91358720 92903040 94641924 95387136 96241743 96999552 97068640 98709480 99486720 100209096 100644960 100998144 102778560 105290112 106935270 107310528 107354624 107777280 108773976 109202220 109630464 110062080 111343440 111483648 113225580 114064288 114117120 116482368 117838474 118302405 118451376 118766336 119233920 120773952 121249440 122370723 123334272 123870720 125261370 126189232 126247680 128322324 129332736 131042664 131612640 132074496 133612128 134138160 134193280 135967470 137038080 139354560 140386816 141962886 142580360 143080704 143703040 145031968 145602960 148064220 148457920 148644864 149230080 150967440 154096466 154167840 155309824 157736540 157935168 158978560 160402905 161031936 161665920 163160964 163803330 164445696 165093120 167015160 168330240 171096432 174723552 175483520 176757711 178149504 178850880 181160928 181289960 182717440 185806080 189283848 190774272 192483486 193999104 194137280 197418960 200418192 201289920 203951205 205557120 210580224 212944329 213870540 214621056 214709248 215554560 217547952 218404440 220124160 222686880 222967296 226451160 228128576 228234240 231144699 232964736 235676948 236604810 236902752 237532672 238467840 241547904 242498880 244741446 246668544 247741440 250522740 252378464 252495360 256644648 258665472 262085328 263225280 267224256 268276320 268386560 271934940 274076160 278709120 280773632 283925772 285160720 286161408 290063936 291205920 294596185 296128440 296915840 298460160 301934880 308192932 308335680 310619648 315473080 315870336 317957120 320805810 322063872 323331840 326321928 327606660 328891392 330186240 334030320 342192864 349447104 350967040 353515422 354907215 356299008 357701760 362321856 362579920 371612160 378567696 384966972 385241165 387998208 388274560 394837920 400836384 402579840 407902410 411114240 421160448 425888658 427741080 429242112 431109120 435095904 436808880 445373760 445934592 452902320 456257152 462289398 465929472 471353896 473209620 473805504 475065344 476935680 481208715 483095808 484997760 489482892 493337088 501045480 504756928 504990720 513289296 524170656 526450560 530273133 534448512 536552640 536773120 543869880 548152320 557418240 567851544 570321440 572322816 580127872 582411840 589192370 592256880 593831680 603869760 611853615 616385864 616671360 621239296 630946160 631740672 641611620 644127744 646663680 652643856 655213320 660372480 668060640 684385728 693434097 698894208 701934080 707030844 709814430 712598016 715403520 724643712 725159840 743224320 757135392 769933944 770482330 775996416 776549120 789675840 801672768 805159680 815804820 822228480 842320896 851777316 855482160 858484224 870191808 873617760 883788555 890747520 905804640 912514304 924578796 931858944 942707792 946419240 947611008 953871360 962417430 966191616 969995520 978965784 986674176 1001627029 1002090960 1009513856 1026578592 1048341312 1052901120 1060546266 1064721645 1068897024 1073105280 1073546240 1087739760 1114836480 1135703088 1140642880 1155723495 1160255744 1164823680 1178384740 1184513760 1187663360 1207739520 1223707230 1232771728 1233342720 1261892320 1263481344 1283223240 1293327360 1305287712 1310426640 1336121280 1368771456 1386868194 1397788416 1403868160 1414061688 1419628860 1425196032 1430807040 1449287424 1450319680 1514270784 1539867888 1540964660 1553098240 1579351680 1590819399 1603345536 1610319360 1631609640 1644456960 1703554632 1710964320 1716968448 1740383616 1747235520 1767577110 1781495040 1811609280 1825028608 1849157592 1863717888 1885415584 1892838480 1895222016 1924834860 1932383232 1939991040 1957931568 2003254058 2004181920 2019027712 2053157184 2080302291 2096682624 2105802240 2121092532 2129443290 2137794048 2146210560 2175479520 2229672960 2271406176 2281285760 2311446990 2320511488 2329647360 2356769480 2369027520 2375326720 2415479040 2447414460 2465543456 2466685440 2523784640 2526962688 2566446480 2610575424 2620853280 2651365665 2672242560 2737542912 2773736388 2795576832 2828123376 2839257720 2861614080 2898574848 2900639360 3004881087 3028541568 3079735776 3081929320 3106196480 3158703360 3181638798 3206691072 3220638720 3263219280 3407109264 3421928640 3467170485 3480767232 3494471040 3535154220 3562990080 3623218560 3650057216 3698315184 3770831168 3785676960 3790444032 3849669720 3879982080 3915863136 4006508116 4008363840 4038055424 4106314368 4160604582 4193365248 4211604480 4242185064 4258886580 4275588096 4292421120 4350959040 4542812352 4562571520 4622893980 4641022976 4659294720 4713538960 4738055040 4830958080 4894828920 4931086912 4933370880 5008135145 5047569280 5132892960 5221150848 5241706560 5302731330 5344485120 5475085824 5547472776 5591153664 5656246752 5678515440 5797149696 5801278720 6009762174 6057083136 6159471552 6163858640 6317406720 6363277596 6413382144 6526438560 6814218528 6843857280 6934340970 6961534464 6988942080 7070308440 7125980160 7246437120 7396630368 7541662336 7571353920 7580888064 7699339440 7831726272 7954096995 8013016232 8016727680 8076110848 8212628736 8321209164 8386730496 8484370128 8517773160 8584842240 8701918080 9014643261 9085624704 9125143040 9245787960 9318589440 9427077920 9476110080 9661916160 9789657840 9862173824 10016270290 10095138560 10265785920 10401511455 10442301696 10483413120 10605462660 10688970240 10950171648 11094945552 11312493504 11357030880 11602557440 12019524348 12114166272 12318943104 12327717280 12634813440 12726555192 12826764288 13052877120 13628437056 13687714560 13868681940 13923068928 13977884160 14140616880 14492874240 14793260736 15024405435 15083324672 15142707840 15398678880 15663452544 15908193990 16026032464 16033455360 16425257472 16642418328 16773460992 16968740256 17035546320 17403836160 18029286522 18171249408 18250286080 18491575920 18854155840 18952220160 19579315680 19724347648 20032540580 20190277120 20531571840 20803022910 20884603392 20966826240 21210925320 21377940480 22189891104 22624987008 22714061760 23205114880 24039048696 24228332544 24637886208 24655434560 25453110384 26105754240 27043929783 27256874112 27375429120 27737363880 27955768320 28281233760 28985748480 29586521472 30048810870 30166649344 30285415680 30797357760 31326905088 31816387980 32052064928 32066910720 32850514944 33284836656 33937480512 34071092640 34807672320 36058573044 36342498816 36983151840 37708311680 37904440320 39158631360 39448695296 40065081160 40380554240 41063143680 41606045820 41769206784 41933652480 42421850640 44379782208 45073216305 45249974016 45428123520 48078097392 49275772416 49310869120 50906220768 52211508480 54087859566 54513748224 54750858240 55474727760 56562467520 59173042944 60097621740 60333298688 60570831360 61594715520 62653810176 63632775960 64104129856 64133821440 66569673312 67874961024 68142185280 69615344640 72117146088 72684997632 73966303680 75416623360 78317262720 78897390592 80130162320 82126287360 83212091640 83867304960 84843701280 88759564416 90146432610 90499948032 90856247040 96156194784 98551544832 98621738240 101812441536 104423016960 108175719132 109027496448 110949455520 113124935040 118346085888 120195243480 121141662720 123189431040 125307620352 127265551920 128208259712 133139346624 135219648915 135749922048 136284370560 144234292176 147932607360 150833246720 156634525440 160260324640 164252574720 166424183280 169687402560 177519128832 180292865220 180999896064 181712494080 192312389568 197243476480 203624883072 208846033920 216351438264 218054992896 221898911040 226249870080 236692171776 240390486960 246378862080 254531103840 256416519424 266278693248 270439297830 271499844096 272568741120 288468584352 295865214720 301666493440 313269050880 320520649280 332848366560 339374805120 355038257664 360585730440 363424988160 384624779136 394486952960 407249766144 432702876528 443797822080 452499740160 480780973920 492757724160 509062207680 512833038848 532557386496 540878595660 542999688192 545137482240 576937168704 591730429440 626538101760 641041298560 665696733120 678749610240 710076515328 721171460880 769249558272 814499532288 865405753056 887595644160 904999480320 961561947840 1018124415360 1025666077696 1065114772992 1081757191320 1090274964480 1153874337408 1183460858880 1282082597120 1331393466240 1357499220480 1442342921760 1538499116544 1628999064576 1730811506112 1775191288320 1923123895680 2036248830720 2130229545984 2163514382640 2307748674816 2564165194240 2662786932480 2714998440960 2884685843520 3076998233088 3461623012224 3550382576640 3846247791360 4072497661440 4327028765280 4615497349632 5128330388480 5325573864960 5769371687040 6923246024448 7692495582720 8144995322880 8654057530560 9230994699264 10651147729920 11538743374080 13846492048896 15384991165440 17308115061120 23077486748160 27692984097792 34616230122240 46154973496320 69232460244480 138464920488960
- Sum of all divisors σ(n): 567569617453440
- Sum of proper divisors (its aliquot sum) s(n): 429104696964480
- 138464920488960 is an abundant number, because the sum of its proper divisors (429104696964480) is greater than itself. Its abundance is 290639776475520
Bases of 138464920488960
- Binary: 111110111101110111000000110011001001100000000002
- Hexadecimal: 0x7DEEE0664C00
- Base-36: 1D2XWMLMO0
Squares and roots of 138464920488960
- 138464920488960 squared (1384649204889602) is 19172534206014014805481881600
- 138464920488960 cubed (1384649204889603) is 2654723424407596404292476976481892827136000
-
The
square root of 138464920488960 is 11767111.8159453215 -
The
cube root of 138464920488960 is 51734.4599875321
Scales and comparisons
How big is 138464920488960?- 138,464,920,488,960 seconds is equal to 4,402,756 years, 8 weeks, 6 days, 9 hours, 36 minutes.
-
To count from 1 to 138,464,920,488,960 would take you about eleven million, six thousand, eight hundred ninety 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 138464920488960 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138464920488960
- 138464920488960 backwards is 069884029464831
- 138464920488960 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138464920488960'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 138464920488960 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 138464920488960 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/138464920488960/
Chicago style:
Numbermatics. 2024. "Number 138464920488960 - Facts about the integer". https://numbermatics.com/n/138464920488960/
The information we have on file for 138464920488960 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 138464920488960, math, Factors of 138464920488960, curriculum, school, college, exams, university, Prime factorization of 138464920488960, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred sixty-four billion, nine hundred twenty million, four hundred eighty-eight thousand, nine hundred sixty.