138341479710720
138,341,479,710,720 is an even composite number composed of eight prime numbers multiplied together.
138341479710720 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 138341479710720:
215 × 3 × 5 × 11 × 13 × 97 × 103 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 97 × 103 × 197)See below for interesting mathematical facts about the number 138341479710720 from the Numbermatics database.
Names of 138341479710720
- Cardinal: 138341479710720 can be written as One hundred thirty-eight trillion, three hundred forty-one billion, four hundred seventy-nine million, seven hundred ten thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3834147971072 × 1014
Factors of 138341479710720
Divisors of 138341479710720
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 80 88 96 97 103 104 110 120 128 130 132 143 156 160 165 176 192 194 195 197 206 208 220 240 256 260 264 286 291 309 312 320 330 352 384 388 390 394 412 416 429 440 480 485 512 515 520 528 572 582 591 618 624 640 660 704 715 768 776 780 788 824 832 858 880 960 970 985 1024 1030 1040 1056 1067 1133 1144 1164 1182 1236 1248 1261 1280 1320 1339 1408 1430 1455 1536 1545 1552 1560 1576 1648 1664 1716 1760 1920 1940 1970 2048 2060 2080 2112 2134 2145 2167 2266 2288 2328 2364 2472 2496 2522 2560 2561 2640 2678 2816 2860 2910 2955 3072 3090 3104 3120 3152 3201 3296 3328 3399 3432 3520 3783 3840 3880 3940 4017 4096 4120 4160 4224 4268 4290 4334 4532 4576 4656 4728 4944 4992 5044 5120 5122 5280 5335 5356 5632 5665 5720 5820 5910 6144 6180 6208 6240 6304 6305 6402 6501 6592 6656 6695 6798 6864 7040 7566 7680 7683 7760 7880 8034 8192 8240 8320 8448 8536 8580 8668 9064 9152 9312 9456 9888 9984 9991 10088 10240 10244 10560 10670 10712 10835 11264 11330 11440 11640 11820 12288 12360 12416 12480 12608 12610 12804 12805 13002 13184 13312 13390 13596 13728 13871 14080 14729 15132 15360 15366 15520 15760 16005 16068 16384 16480 16640 16896 16995 17072 17160 17336 18128 18304 18624 18912 18915 19109 19776 19968 19982 20085 20176 20291 20480 20488 21120 21340 21424 21670 22528 22660 22880 23280 23640 24576 24720 24832 24960 25216 25220 25608 25610 26004 26368 26624 26780 27192 27456 27742 28160 28171 29458 29973 30264 30720 30732 31040 31520 32010 32136 32505 32768 32960 33280 33792 33990 34144 34320 34672 36256 36608 37248 37824 37830 38218 38415 39552 39936 39964 40170 40352 40582 40960 40976 41613 42240 42680 42848 43340 44187 45056 45320 45760 46560 47280 49152 49440 49664 49920 49955 50432 50440 51216 51220 52008 52736 53248 53560 54384 54912 55484 56320 56342 57327 58916 59946 60528 60873 61440 61464 62080 63040 64020 64272 65010 65920 66560 67584 67980 68288 68640 69344 69355 72512 73216 73645 74496 75648 75660 76436 76830 79104 79872 79928 80340 80704 81164 81920 81952 83226 84480 84513 85360 85696 86680 88374 90112 90640 91520 93120 94560 95545 98304 98880 99328 99840 99910 100864 100880 101455 102432 102440 104016 105472 106496 107120 108768 109824 109901 110968 112640 112684 114654 117832 119892 121056 121746 122880 122928 124160 126080 128040 128544 129883 130020 131840 133120 135168 135960 136576 137280 138688 138710 140855 145024 146432 147290 148992 149865 151296 151320 152872 153660 158208 159744 159856 160680 161408 162328 163840 163904 166452 168960 169026 170720 171392 173360 176748 180224 181280 183040 186240 189120 191090 197760 198656 199680 199820 201728 201760 202910 204864 204880 208032 208065 210199 210944 212992 214240 217536 219648 219802 220935 221936 223201 225280 225368 229308 235664 239784 242112 243492 245760 245856 248320 248417 252160 256080 257088 259766 260040 263680 263783 266240 270336 271920 273152 274560 277376 277420 281710 286635 290048 292864 294580 297984 299730 302592 302640 304365 305744 307320 316416 319488 319712 321360 322816 324656 327808 329703 332904 337920 338052 341440 342784 346720 353496 360448 362560 366080 372480 378240 382180 389649 395520 397312 399360 399640 403456 403520 405820 409728 409760 416064 416130 420398 421888 422565 425984 428480 435072 439296 439604 441870 443872 446402 450560 450736 458616 471328 479568 484224 486984 491520 491712 496640 496834 504320 512160 514176 519532 520080 527360 527566 532480 540672 543840 546304 549120 549505 554752 554840 563420 573270 580096 585728 589160 595968 599460 605184 605280 608730 611488 614640 630597 632832 638976 639424 642720 645632 649312 649415 655616 659406 665808 669603 675840 676104 682880 685568 693440 706992 725120 732160 744960 745251 756480 764360 779298 791040 791349 794624 798720 799280 806912 807040 811640 819456 819520 832128 832260 840796 843776 845130 856960 870144 878592 879208 883740 887744 892804 901120 901472 917232 942656 959136 968448 973968 983424 993280 993668 1008640 1024320 1028352 1039064 1040160 1050995 1054720 1055132 1064960 1081344 1087680 1092608 1098240 1099010 1109504 1109680 1116005 1126840 1146540 1160192 1171456 1178320 1191936 1198920 1210368 1210560 1217460 1222976 1229280 1242085 1261194 1265664 1277952 1278848 1285440 1291264 1298624 1298830 1311232 1318812 1318915 1331616 1339206 1351680 1352208 1365760 1371136 1386880 1413984 1428713 1450240 1464320 1489920 1490502 1512960 1528720 1558596 1582080 1582698 1589248 1597440 1598560 1613824 1614080 1623280 1638912 1639040 1648515 1664256 1664520 1681592 1687552 1690260 1713920 1740288 1757184 1758416 1767480 1775488 1785608 1802240 1802944 1834464 1885312 1918272 1936896 1947936 1948245 1966848 1968227 1986560 1987336 2017280 2048640 2056704 2078128 2080320 2101990 2109440 2110264 2129920 2175360 2185216 2196480 2198020 2219008 2219360 2232010 2253680 2293080 2320384 2342912 2356640 2383872 2397840 2420736 2421120 2434920 2445952 2458560 2484170 2522388 2531328 2557696 2570880 2582528 2597248 2597660 2622464 2637624 2637830 2663232 2678412 2703360 2704416 2731520 2732587 2742272 2773760 2827968 2857426 2900480 2901613 2928640 2979840 2981004 3025920 3057440 3117192 3152985 3164160 3165396 3178496 3194880 3197120 3227648 3228160 3246560 3277824 3278080 3297030 3328512 3329040 3348015 3363184 3375104 3380520 3427840 3480576 3514368 3516832 3534960 3550976 3571216 3605888 3668928 3726255 3770624 3836544 3873792 3895872 3896490 3933696 3936454 3956745 3973120 3974672 4034560 4097280 4113408 4156256 4160640 4203980 4218880 4220528 4286139 4350720 4370432 4392960 4396040 4438016 4438720 4464020 4507360 4586160 4640768 4685824 4713280 4767744 4795680 4841472 4842240 4869840 4891904 4917120 4968340 5044776 5062656 5115392 5141760 5165056 5194496 5195320 5244928 5275248 5275660 5326464 5356824 5406720 5408832 5463040 5465174 5484544 5547520 5655936 5714852 5800960 5803226 5857280 5904681 5959680 5962008 6051840 6114880 6234384 6305970 6328320 6330792 6389760 6394240 6455296 6456320 6493120 6555648 6556160 6594060 6657024 6658080 6696030 6726368 6761040 6855680 6961152 7028736 7033664 7069920 7101952 7142432 7143565 7211776 7337856 7452510 7541248 7673088 7747584 7791744 7792980 7867392 7872908 7913490 7946240 7949344 8069120 8194560 8197761 8226816 8312512 8321280 8407960 8437760 8441056 8572278 8701440 8704839 8740864 8785920 8792080 8876032 8877440 8928040 9014720 9172320 9281536 9426560 9535488 9591360 9682944 9684480 9739680 9783808 9834240 9841135 9936680 10089552 10125312 10230784 10283520 10330112 10388992 10390640 10489856 10550496 10551320 10652928 10713648 10817664 10926080 10930348 10969088 11095040 11311872 11429704 11601920 11606452 11714560 11809362 11919360 11924016 12103680 12229760 12468768 12611940 12656640 12661584 12788480 12912640 12986240 13111296 13112320 13188120 13314048 13316160 13392060 13452736 13522080 13662935 13711360 13922304 14057472 14067328 14139840 14203904 14284864 14287130 14423552 14508065 14675712 14905020 15082496 15346176 15495168 15583488 15585960 15734784 15745816 15826980 15892480 15898688 16138240 16389120 16395522 16453632 16625024 16642560 16815920 16875520 16882112 17144556 17402880 17409678 17481728 17571840 17584160 17752064 17754880 17856080 18029440 18344640 18563072 18853120 19182720 19365888 19368960 19479360 19567616 19668480 19682270 19873360 20179104 20461568 20567040 20660224 20777984 20781280 20979712 21100992 21102640 21305856 21427296 21430695 21635328 21650497 21852160 21860696 21938176 22190080 22623744 22859408 23203840 23212904 23429120 23618724 23838720 23848032 24207360 24459520 24937536 25223880 25313280 25323168 25576960 25586951 25825280 25972480 26222592 26224640 26376240 26628096 26632320 26784120 26905472 27044160 27325870 27422720 27844608 28134656 28279680 28407808 28569728 28574260 28847104 29016130 29351424 29523405 29810040 30164992 30692352 30990336 31166976 31171920 31469568 31491632 31653960 31797376 32276480 32778240 32791044 32907264 33250048 33285120 33631840 33764224 34289112 34805760 34819356 34963456 35143680 35168320 35504128 35509760 35712160 36058880 36689280 37126144 37706240 38365440 38737920 38958720 39135232 39336960 39364540 39746720 40358208 40923136 40988805 41134080 41320448 41555968 41562560 41959424 42201984 42205280 42611712 42854592 42861390 43270656 43300994 43524195 43704320 43721392 43876352 44380160 45247488 45718816 46407680 46425808 47237448 47677440 47696064 48414720 48919040 49875072 50447760 50626560 50646336 51153920 51173902 51650560 51944960 52445184 52449280 52752480 53256192 53264640 53568240 53810944 54088320 54651740 54845440 55689216 56269312 56559360 56815616 57139456 57148520 57694208 58032260 58702848 59046810 59620080 60329984 61384704 61980672 62333952 62343840 62939136 62983264 63307920 63594752 64951491 65556480 65582088 65814528 66500096 66570240 67263680 67528448 68578224 69611520 69638712 70287360 70336640 71008256 71019520 71424320 72117760 73378560 75412480 76730880 76760853 77475840 77917440 78270464 78673920 78729080 79493440 80716416 81846272 81977610 82268160 83111936 83125120 83918848 84403968 84410560 85223424 85709184 85722780 86541312 86601988 87048390 87408640 87442784 88760320 90494976 91437632 92815360 92851616 94474896 95392128 96829440 97838080 99750144 100895520 101292672 102307840 102347804 103301120 103889920 104890368 104898560 105504960 106512384 106529280 107136480 107621888 108176640 108252485 109303480 109690880 111378432 112538624 113118720 113631232 114278912 114297040 115388416 116064520 117405696 118093620 119240160 120659968 122769408 123961344 124667904 124687680 125878272 125966528 126615840 127189504 127934755 129902982 131112960 131164176 131629056 133000192 133140480 134527360 135056896 137156448 139223040 139277424 140673280 142039040 142848640 144235520 146757120 150824960 153461760 153521706 154951680 155834880 156540928 157347840 157458160 158986880 161432832 163692544 163955220 164536320 166223872 166250240 168807936 168821120 170446848 171418368 171445560 173082624 173203976 174096780 174817280 174885568 177520640 180989952 182875264 185630720 185703232 188949792 190784256 195676160 199500288 201791040 202585344 204615680 204695608 206602240 207779840 209797120 211009920 213024768 213058560 214272960 215243776 216353280 216504970 218606960 219381760 225077248 226237440 227262464 228557824 228594080 230776832 232129040 234811392 236187240 238480320 241319936 245538816 249335808 249375360 251756544 251933056 253231680 254379008 255869510 259805964 262225920 262328352 266000384 266280960 269054720 270113792 274312896 278446080 278554848 281346560 281456461 284078080 285697280 288471040 293514240 301649920 306923520 307043412 309903360 311669760 313081856 314695680 314916320 317973760 322865664 324757455 327385088 327910440 329072640 332447744 332500480 337615872 337642240 340893696 342836736 342891120 346165248 346407952 348193560 349771136 355041280 361979904 365750528 371406464 377899584 381568512 383804265 391352320 399000576 403582080 405170688 409231360 409391216 415559680 419594240 422019840 426117120 428545920 430487552 432706560 433009940 437213920 450154496 452474880 454524928 457115648 457188160 461553664 464258080 469622784 472374480 476960640 482639872 491077632 498671616 498750720 503866112 506463360 508758016 511739020 519611928 524451840 524656704 532000768 532561920 538109440 540227584 548625792 556892160 557109696 562693120 562912922 568156160 571394560 576942080 587028480 603299840 613847040 614086824 619806720 623339520 626163712 629391360 629832640 635947520 645731328 649514910 655820880 658145280 664895488 665000960 675231744 675284480 681787392 685673472 685782240 692330496 692815904 696387120 699542272 723959808 731501056 742812928 755799168 763137024 767608530 782704640 798001152 807164160 810341376 818462720 818782432 831119360 844039680 844369383 852234240 857091840 860975104 865413120 866019880 874427840 900308992 904949760 914231296 914376320 923107328 928516160 939245568 944748960 953921280 982155264 997343232 997501440 1007732224 1012926720 1017516032 1023478040 1039223856 1049313408 1064001536 1065123840 1076218880 1080455168 1097251584 1114219392 1125386240 1125825844 1136312320 1142789120 1153884160 1174056960 1206599680 1227694080 1228173648 1246679040 1258782720 1259665280 1271895040 1291462656 1299029820 1311641760 1330001920 1350463488 1350568960 1363574784 1371346944 1371564480 1384660992 1385631808 1392774240 1399084544 1407282305 1447919616 1463002112 1485625856 1511598336 1526274048 1535217060 1565409280 1596002304 1614328320 1620682752 1636925440 1637564864 1662238720 1688079360 1688738766 1704468480 1714183680 1721950208 1730826240 1732039760 1748855680 1800617984 1809899520 1828462592 1828752640 1857032320 1878491136 1889497920 1907842560 1994686464 1995002880 2015464448 2025853440 2035032064 2046956080 2078447712 2098626816 2128003072 2152437760 2160910336 2194503168 2228438784 2250772480 2251651688 2272624640 2285578240 2307768320 2348113920 2413199360 2455388160 2456347296 2493358080 2519330560 2543790080 2582925312 2598059640 2623283520 2660003840 2700926976 2701137920 2742693888 2743128960 2769321984 2771263616 2785548480 2798169088 2814564610 2926004224 2971251712 3023196672 3052548096 3070434120 3130818560 3192004608 3228656640 3241365504 3275129728 3324477440 3376158720 3377477532 3408936960 3428367360 3443900416 3461652480 3464079520 3497711360 3601235968 3619799040 3656925184 3657505280 3714064640 3778995840 3815685120 3990005760 4030928896 4051706880 4070064128 4093912160 4156895424 4197253632 4221846915 4256006144 4304875520 4321820672 4389006336 4456877568 4501544960 4503303376 4571156480 4615536640 4696227840 4910776320 4912694592 4986716160 5038661120 5087580160 5165850624 5196119280 5246567040 5320007680 5401853952 5402275840 5485387776 5486257920 5542527232 5571096960 5596338176 5629129220 5852008448 5942503424 6046393344 6105096192 6140868240 6384009216 6457313280 6482731008 6550259456 6752317440 6754955064 6817873920 6856734720 6887800832 6923304960 6928159040 6995422720 7239598080 7313850368 7315010560 7428129280 7557991680 7631370240 7980011520 8061857792 8103413760 8140128256 8187824320 8313790848 8394507264 8443693830 8609751040 8643641344 8778012672 8913755136 9003089920 9006606752 9142312960 9392455680 9825389184 9973432320 10077322240 10175160320 10331701248 10392238560 10493134080 10640015360 10803707904 10804551680 10970775552 10972515840 11085054464 11142193920 11192676352 11258258440 11704016896 11885006848 12092786688 12210192384 12281736480 12768018432 12914626560 12965462016 13100518912 13504634880 13509910128 13713469440 13846609920 13856318080 13990845440 14630021120 14856258560 15115983360 15262740480 15960023040 16123715584 16206827520 16375648640 16627581696 16789014528 16887387660 17219502080 17556025344 17827510272 18006179840 18013213504 18284625920 19650778368 20154644480 20350320640 20663402496 20784477120 20986268160 21280030720 21609103360 21941551104 21945031680 22170108928 22284387840 22385352704 22516516880 23408033792 23770013696 24185573376 24420384768 24563472960 25829253120 25930924032 26201037824 27009269760 27019820256 27426938880 27712636160 27981690880 29260042240 29712517120 30231966720 30525480960 31920046080 32247431168 32413655040 32751297280 33255163392 33578029056 33774775320 34439004160 35112050688 35655020544 36026427008 36569251840 39301556736 40309288960 40700641280 41568954240 41972536320 43218206720 43890063360 44340217856 44568775680 44770705408 45033033760 46816067584 47540027392 48371146752 49126945920 51658506240 52402075648 54018539520 54039640512 54853877760 55425272320 55963381760 58520084480 59425034240 60463933440 61050961920 63840092160 64494862336 64827310080 65502594560 66510326784 67156058112 67549550640 70224101376 71310041088 72052854016 78603113472 80618577920 83137908480 83945072640 87780126720 88680435712 89137551360 89541410816 90066067520 95080054784 96742293504 98253891840 103317012480 104804151296 108079281024 109707755520 110850544640 111926763520 117040168960 118850068480 120927866880 122101923840 129654620160 131005189120 133020653568 134312116224 135099101280 140448202752 142620082176 144105708032 157206226944 161237155840 166275816960 167890145280 175560253440 177360871424 178275102720 180132135040 193484587008 196507783680 209608302592 216158562048 221701089280 223853527040 234080337920 237700136960 241855733760 262010378240 266041307136 268624232448 270198202560 285240164352 288211416064 314412453888 322474311680 332551633920 335780290560 351120506880 354721742848 356550205440 360264270080 393015567360 419216605184 432317124096 443402178560 447707054080 475400273920 483711467520 524020756480 532082614272 540396405120 576422832128 628824907776 665103267840 671560581120 702241013760 709443485696 713100410880 720528540160 786031134720 838433210368 864634248192 886804357120 967422935040 1048041512960 1064165228544 1080792810240 1152845664256 1257649815552 1330206535680 1343121162240 1426200821760 1441057080320 1572062269440 1729268496384 1773608714240 2096083025920 2128330457088 2161585620480 2305691328512 2515299631104 2660413071360 2882114160640 3144124538880 3458536992768 3547217428480 4192166051840 4323171240960 4611382657024 5320826142720 5764228321280 6288249077760 6917073985536 8646342481920 9222765314048 10641652285440 11528456642560 12576498155520 13834147971072 17292684963840 23056913285120 27668295942144 34585369927680 46113826570240 69170739855360 138341479710720
- Sum of all divisors σ(n): 533234735953920
- Sum of proper divisors (its aliquot sum) s(n): 394893256243200
- 138341479710720 is an abundant number, because the sum of its proper divisors (394893256243200) is greater than itself. Its abundance is 256551776532480
Bases of 138341479710720
- Binary: 111110111010010001000101100000110000000000000002
- Hexadecimal: 0x7DD222C18000
- Base-36: 1D1D755CLC
Squares and roots of 138341479710720
- 138341479710720 squared (1383414797107202) is 19138365008551553414882918400
- 138341479710720 cubed (1383414797107203) is 2647629734526888326040163586317901365248000
-
The
square root of 138341479710720 is 11761865.4859983839 -
The
cube root of 138341479710720 is 51719.0817467033
Scales and comparisons
How big is 138341479710720?- 138,341,479,710,720 seconds is equal to 4,398,831 years, 7 weeks, 16 hours, 32 minutes.
-
To count from 1 to 138,341,479,710,720 would take you about ten million, nine hundred ninety-seven thousand and seventy-seven 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 138341479710720 cubic inches would be around 4309.9 feet tall.
Recreational maths with 138341479710720
- 138341479710720 backwards is 027017974143831
- The number of decimal digits it has is: 15
- The sum of 138341479710720's digits is 57
- 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 138341479710720 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 138341479710720 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/138341479710720/
Chicago style:
Numbermatics. 2024. "Number 138341479710720 - Facts about the integer". https://numbermatics.com/n/138341479710720/
The information we have on file for 138341479710720 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 138341479710720, math, Factors of 138341479710720, curriculum, school, college, exams, university, Prime factorization of 138341479710720, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred forty-one billion, four hundred seventy-nine million, seven hundred ten thousand, seven hundred twenty.