138042895334400
138,042,895,334,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138042895334400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2112 divisors.
138042895334400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 138042895334400:
210 × 33 × 52 × 73 × 103 × 5653
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 103 × 5653)See below for interesting mathematical facts about the number 138042895334400 from the Numbermatics database.
Names of 138042895334400
- Cardinal: 138042895334400 can be written as One hundred thirty-eight trillion, forty-two billion, eight hundred ninety-five million, three hundred thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.380428953344 × 1014
Factors of 138042895334400
Divisors of 138042895334400
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 103 105 108 112 120 126 128 135 140 144 147 150 160 168 175 180 189 192 196 200 206 210 216 224 225 240 245 252 256 270 280 288 294 300 309 315 320 336 343 350 360 378 384 392 400 412 420 432 441 448 450 480 490 504 512 515 525 540 560 576 588 600 618 630 640 672 675 686 700 720 721 735 756 768 784 800 824 840 864 882 896 900 927 945 960 980 1008 1024 1029 1030 1050 1080 1120 1152 1176 1200 1225 1236 1260 1280 1323 1344 1350 1372 1400 1440 1442 1470 1512 1536 1545 1568 1575 1600 1648 1680 1715 1728 1764 1792 1800 1854 1890 1920 1960 2016 2058 2060 2100 2160 2163 2205 2240 2304 2352 2400 2450 2472 2520 2560 2575 2646 2688 2700 2744 2781 2800 2880 2884 2940 3024 3072 3087 3090 3136 3150 3200 3296 3360 3430 3456 3528 3584 3600 3605 3675 3708 3780 3840 3920 4032 4116 4120 4200 4320 4326 4410 4480 4608 4635 4704 4725 4800 4900 4944 5040 5047 5120 5145 5150 5292 5376 5400 5488 5562 5600 5653 5760 5768 5880 6048 6174 6180 6272 6300 6400 6489 6592 6615 6720 6860 6912 7056 7168 7200 7210 7350 7416 7560 7680 7725 7840 8064 8232 8240 8400 8575 8640 8652 8820 8960 9216 9261 9270 9408 9450 9600 9800 9888 10080 10094 10290 10300 10584 10752 10800 10815 10976 11025 11124 11200 11306 11520 11536 11760 12096 12348 12360 12544 12600 12800 12978 13184 13230 13440 13720 13824 13905 14112 14400 14420 14700 14832 15120 15141 15360 15435 15450 15680 16128 16464 16480 16800 16959 17150 17280 17304 17640 17920 18025 18522 18540 18816 18900 19200 19467 19600 19776 20160 20188 20580 20600 21168 21504 21600 21630 21952 22050 22248 22400 22612 23040 23072 23175 23520 24192 24696 24720 25088 25200 25235 25600 25725 25956 26368 26460 26880 27440 27648 27810 28224 28265 28800 28840 29400 29664 30240 30282 30870 30900 31360 32256 32445 32928 32960 33075 33600 33918 34300 34560 34608 35280 35329 35840 36050 37044 37080 37632 37800 38400 38934 39200 39552 39571 40320 40376 41160 41200 42336 43200 43260 43904 44100 44496 44800 45224 45423 46080 46144 46305 46350 47040 48384 49392 49440 50176 50400 50470 50877 51450 51912 52736 52920 53760 54075 54880 55620 56448 56530 57600 57680 58800 59328 60480 60564 61740 61800 62720 64512 64890 65856 65920 66150 67200 67836 68600 69120 69216 69525 70560 70658 72100 74088 74160 75264 75600 75705 76800 77175 77868 78400 79104 79142 80640 80752 82320 82400 84672 84795 86400 86520 87808 88200 88992 89600 90448 90846 92288 92610 92700 94080 96768 97335 98784 98880 100800 100940 101754 102900 103824 105472 105840 105987 107520 108150 109760 111240 112896 113060 115200 115360 117600 118656 118713 120960 121128 123480 123600 125440 126175 129780 131712 131840 132300 134400 135672 136269 137200 138240 138432 139050 141120 141316 141325 144200 148176 148320 150528 151200 151410 152631 154350 155736 156800 158208 158284 161280 161504 162225 164640 164800 169344 169590 172800 173040 175616 176400 176645 177984 179200 180896 181692 184576 185220 185400 188160 193536 194670 197568 197760 197855 201600 201880 203508 205800 207648 211680 211974 216300 219520 222480 225792 226120 227115 230400 230720 231525 235200 237312 237426 241920 242256 246960 247200 250880 252350 254385 259560 263424 263680 264600 268800 271344 272538 274400 276864 276997 278100 282240 282632 282650 288400 296352 296640 302400 302820 305262 308700 311472 313600 316416 316568 317961 322560 323008 324450 329280 329600 338688 339180 345600 346080 351232 352800 353290 355968 356139 361792 363384 369152 370440 370800 376320 378525 389340 395136 395520 395710 403200 403760 407016 411600 415296 423360 423948 423975 432600 439040 444960 451584 452240 454230 461440 463050 470400 474624 474852 483840 484512 486675 493920 494400 504700 508770 519120 526848 527360 529200 529935 537600 542688 545076 548800 553728 553994 556200 564480 565264 565300 576800 582259 592704 593280 593565 604800 605640 610524 617400 622944 627200 633136 635922 646016 648900 658560 659200 677376 678360 681345 691200 692160 705600 706580 711936 712278 723584 726768 738304 740880 741600 752640 757050 763155 778680 790272 791040 791420 806400 807520 814032 823200 830592 830991 846720 847896 847950 865200 878080 883225 889920 904480 908460 922880 926100 940800 949248 949704 953883 967680 969024 973350 987840 988800 989275 1009400 1017540 1038240 1053696 1058400 1059870 1068417 1085376 1090152 1097600 1107456 1107988 1112400 1128960 1130528 1130600 1135575 1153600 1164518 1185408 1186560 1187130 1209600 1211280 1221048 1234800 1245888 1254400 1266272 1271844 1271925 1292032 1297800 1317120 1318400 1354752 1356720 1362690 1384320 1384985 1411200 1413160 1423872 1424556 1447168 1453536 1481760 1483200 1514100 1526310 1557360 1580544 1582080 1582840 1589805 1612800 1615040 1628064 1646400 1661184 1661982 1693440 1695792 1695900 1730400 1746777 1756160 1766450 1779840 1780695 1808960 1816920 1845760 1852200 1881600 1899408 1907766 1938048 1938979 1946700 1975680 1977600 1978550 2018800 2035080 2076480 2116800 2119740 2136834 2170752 2180304 2195200 2214912 2215976 2224800 2257920 2261056 2261200 2271150 2307200 2329036 2370816 2373120 2374260 2419200 2422560 2442096 2469600 2491776 2492973 2532544 2543688 2543850 2584064 2595600 2634240 2636800 2649675 2713440 2725380 2768640 2769970 2822400 2826320 2847744 2849112 2894336 2907072 2911295 2963520 2966400 2967825 3028200 3052620 3114720 3161088 3165680 3179610 3230080 3256128 3292800 3322368 3323964 3386880 3391584 3391800 3406725 3460800 3493554 3532900 3559680 3561390 3617920 3633840 3691520 3704400 3763200 3798816 3815532 3815775 3876096 3877958 3893400 3951360 3955200 3957100 4037600 4070160 4075813 4152960 4154955 4233600 4239480 4273668 4341504 4360608 4390400 4431952 4449600 4522112 4522400 4542300 4614400 4658072 4741632 4746240 4748520 4769415 4838400 4845120 4884192 4939200 4983552 4985946 5065088 5087376 5087700 5168128 5191200 5240331 5268480 5299350 5342085 5426880 5450760 5537280 5539940 5644800 5652640 5698224 5788672 5814144 5816937 5822590 5927040 5932800 5935650 6056400 6105240 6229440 6331360 6359220 6460160 6512256 6585600 6644736 6647928 6773760 6783168 6783600 6813450 6921600 6924925 6987108 7065800 7119360 7122780 7235840 7267680 7408800 7478919 7597632 7631064 7631550 7752192 7755916 7786800 7902720 7910400 7914200 7949025 8075200 8140320 8151626 8305920 8309910 8467200 8478960 8547336 8683008 8721216 8733885 8780800 8863904 8899200 8903475 9044224 9044800 9084600 9228800 9316144 9483264 9497040 9538830 9690240 9694895 9768384 9878400 9967104 9971892 10130176 10174752 10175400 10382400 10480662 10598700 10684170 10853760 10901520 11074560 11079880 11289600 11305280 11396448 11628288 11633874 11645180 11854080 11865600 11871300 12112800 12210480 12227439 12458880 12464865 12662720 12718440 12920320 13024512 13171200 13295856 13566336 13567200 13626900 13843200 13849850 13974216 14131600 14238720 14245560 14471680 14535360 14556475 14817600 14957838 15195264 15262128 15263100 15504384 15511832 15573600 15720993 15805440 15828400 15898050 16150400 16280640 16303252 16611840 16619820 16934400 16957920 17094672 17366016 17442432 17450811 17467770 17727808 17798400 17806950 18088448 18089600 18169200 18457600 18632288 18994080 19077660 19380480 19389790 19536768 19756800 19934208 19943784 20260352 20349504 20350800 20379065 20764800 20774775 20961324 21197400 21368340 21707520 21803040 22159760 22610560 22792896 23256576 23267748 23290360 23708160 23731200 23742600 23847075 24225600 24420960 24454878 24917760 24929730 25325440 25436880 25840640 26049024 26201655 26342400 26591712 26710425 27132672 27134400 27253800 27686400 27699700 27948432 28263200 28491120 28530691 28943360 29070720 29084685 29112950 29635200 29915676 30390528 30524256 30526200 31023664 31147200 31441986 31656800 31796100 32300800 32561280 32606504 33223680 33239640 33868800 33915840 34189344 34884864 34901622 34935540 35455616 35596800 35613900 36176896 36179200 36338400 36682317 37264576 37394595 37988160 38155320 38760960 38779580 39073536 39513600 39887568 40520704 40699008 40701600 40758130 41529600 41549550 41922648 42394800 42736680 43415040 43606080 43669425 44319520 45221120 45585792 46513152 46535496 46580720 47416320 47485200 47694150 48451200 48474475 48841920 48909756 49835520 49859460 50650880 50873760 52098048 52352433 52403310 53183424 53420850 54265344 54268800 54507600 55372800 55399400 55896864 56526400 56982240 57061382 58141440 58169370 58225900 59270400 59831352 60781056 61048512 61052400 61137195 62047328 62294400 62324325 62883972 63313600 63592200 64601600 65122560 65213008 66479280 67831680 68378688 69769728 69803244 69871080 70911232 71193600 71227800 72358400 72676800 73364634 74529152 74789190 75976320 76310640 77521920 77559160 78147072 78604965 79027200 79775136 81398016 81403200 81516260 83059200 83099100 83845296 84789600 85473360 85592073 86830080 87212160 87254055 87338850 88639040 90442240 91171584 93070992 93161440 94970400 95388300 96902400 96948950 97683840 97819512 99671040 99718920 101301760 101747520 101895325 104704866 104806620 106366848 106841700 108530688 108537600 109015200 110046951 110798800 111793728 113052800 113964480 114122764 116282880 116338740 116451800 118540800 119662704 121562112 122097024 122104800 122274390 124094656 124588800 124648650 125767944 126627200 127184400 129203200 130245120 130426016 131008275 132958560 135663360 136757376 139539456 139606488 139742160 141822464 142455600 142653455 144716800 145353600 145423425 146729268 149058304 149578380 151952640 152621280 155118320 156294144 157209930 159550272 162796032 162806400 163032520 166118400 166198200 167690592 169579200 170946720 171184146 174424320 174508110 174677700 177278080 180884480 182343168 183411585 186141984 186322880 186972975 189940800 190776600 193804800 193897900 195367680 195639024 199437840 199714837 202603520 203495040 203790650 209409732 209613240 212733696 213683400 217075200 218030400 220093902 221597600 223587456 226105600 227928960 228245528 232565760 232677480 232903600 237081600 239325408 244194048 244209600 244548780 248189312 249177600 249297300 251535888 253254400 254368800 256776219 260490240 260852032 261762165 262016550 265917120 271326720 273514752 279212976 279484320 283644928 284911200 285306910 290707200 290846850 293458536 298116608 299156760 303905280 305242560 305685975 310236640 314419860 319100544 325592064 325612800 326065040 332396400 335381184 339158400 341893440 342368292 348848640 349016220 349355400 354556160 364686336 366823170 372283968 372645760 373945950 379881600 381553200 387609600 387795800 390735360 391278048 393024825 398875680 399429674 406990080 407581300 418819464 419226480 425467392 427366800 427960365 434150400 436060800 436270275 440187804 443195200 447174912 452211200 455857920 456491056 465354960 465807200 478650816 488388096 488419200 489097560 496378624 498355200 498594600 503071776 506508800 508737600 513552438 521704064 523524330 524033100 531834240 542653440 547029504 550234755 558425952 558968640 569822400 570613820 581414400 581693700 586917072 596233216 598313520 599144511 607810560 610485120 611371950 620473280 628839720 638201088 651225600 652130080 664792800 670762368 678316800 683786880 684736584 697697280 698032440 698710800 709112320 713267275 733646340 744567936 745291520 747891900 759763200 763106400 770328657 775591600 781470720 782556096 786049650 797751360 798859348 813980160 815162600 837638928 838452960 850934784 854733600 855920730 872121600 872540550 880375608 886390400 894349824 904422400 911715840 912982112 917057925 930709920 931614400 957301632 976776192 976838400 978195120 992757248 997189200 998574185 1006143552 1013017600 1017475200 1027104876 1043408128 1047048660 1048066200 1063668480 1094059008 1100469510 1116851904 1117937280 1139644800 1141227640 1162828800 1163387400 1173834144 1196627040 1198289022 1220970240 1222743900 1240946560 1257679440 1276402176 1283881095 1302451200 1304260160 1308810825 1329585600 1341524736 1356633600 1367573760 1369473168 1396064880 1397421600 1418224640 1426534550 1467292680 1489135872 1490583040 1495783800 1519526400 1526212800 1540657314 1551183200 1565112192 1572099300 1595502720 1597718696 1627960320 1630325200 1675277856 1676905920 1709467200 1711841460 1744243200 1745081100 1760751216 1772780800 1788699648 1797433533 1823431680 1825964224 1834115850 1861419840 1863228800 1914603264 1953676800 1956390240 1985514496 1994378400 1997148370 2012287104 2034950400 2054209752 2086816256 2094097320 2096132400 2127336960 2139801825 2200939020 2233703808 2235874560 2279289600 2282455280 2326774800 2347668288 2393254080 2396578044 2441940480 2445487800 2481893120 2515358880 2552804352 2567762190 2608520320 2617621650 2659171200 2683049472 2713267200 2735147520 2738946336 2751173775 2792129760 2794843200 2853069100 2934585360 2978271744 2981166080 2991567600 2995722555 3039052800 3052425600 3081314628 3102366400 3130224384 3144198600 3191005440 3195437392 3260650400 3350555712 3353811840 3418934400 3423682920 3488486400 3490162200 3521502432 3545561600 3594867066 3651928448 3668231700 3722839680 3726457600 3829206528 3851643285 3907353600 3912780480 3988756800 3994296740 4024574208 4069900800 4108419504 4173632512 4188194640 4192264800 4254673920 4279603650 4401878040 4467407616 4471749120 4558579200 4564910560 4653549600 4695336576 4786508160 4793156088 4883880960 4890975600 4963786240 4992870925 5030717760 5135524380 5217040640 5235243300 5318342400 5366098944 5392300599 5470295040 5477892672 5502347550 5584259520 5589686400 5706138200 5869170720 5956543488 5983135200 5991445110 6104851200 6162629256 6204732800 6260448768 6288397200 6382010880 6390874784 6419405475 6521300800 6701111424 6707623680 6837868800 6847365840 6980324400 7043004864 7091123200 7189734132 7303856896 7336463400 7445679360 7452915200 7658413056 7703286570 7825560960 7977513600 7988593480 8049148416 8139801600 8216839008 8376389280 8384529600 8559207300 8803756080 8934815232 8943498240 8987167665 9117158400 9129821120 9307099200 9390673152 9573016320 9586312176 9781951200 9927572480 9985741850 10061435520 10271048760 10434081280 10470486600 10636684800 10784601198 10955785344 11004695100 11168519040 11179372800 11412276400 11738341440 11966270400 11982890220 12209702400 12325258512 12409465600 12520897536 12576794400 12764021760 12781749568 12838810950 13042601600 13402222848 13415247360 13675737600 13694731680 13960648800 14086009728 14379468264 14607713792 14672926800 14891358720 14905830400 14978612775 15406573140 15651121920 15955027200 15977186960 16098296832 16433678016 16752778560 16769059200 17118414600 17607512160 17869630464 17974335330 18259642240 18614198400 18781346304 19146032640 19172624352 19258216425 19563902400 19971483700 20122871040 20542097520 20868162560 20940973200 21273369600 21569202396 21911570688 22009390200 22337038080 22358745600 22824552800 23476682880 23932540800 23965780440 24419404800 24650517024 24818931200 25153588800 25563499136 25677621900 26085203200 26804445696 26830494720 26961502995 27351475200 27389463360 27921297600 28172019456 28758936528 29215427584 29345853600 29782717440 29957225550 30813146280 31302243840 31910054400 31954373920 32867356032 33505557120 33538118400 34236829200 35215024320 35948670660 36519284480 37228396800 37562692608 38292065280 38345248704 38516432850 39127804800 39942967400 40245742080 41084195040 41881946400 43138404792 43823141376 44018780400 44674076160 44717491200 44935838325 45649105600 46953365760 47865081600 47931560880 49301034048 49637862400 50307177600 51126998272 51355243800 52170406400 53608891392 53923005990 54778926720 55842595200 56344038912 57517873056 58691707200 59914451100 61626292560 62604487680 63820108800 63908747840 65734712064 67011114240 67076236800 68473658400 70430048640 71897341320 73038568960 74456793600 76690497408 77032865700 78255609600 79885934800 80491484160 82168390080 83763892800 86276809584 87646282752 88037560800 89348152320 89871676650 91298211200 93906731520 95730163200 95863121760 98602068096 100614355200 102253996544 102710487600 104340812800 107846011980 109557853440 111685190400 112688077824 115035746112 117383414400 119828902200 123252585120 127817495680 131469424128 134022228480 134152473600 134807514975 136947316800 140860097280 143794682640 146077137920 148913587200 153380994816 154065731400 156511219200 159771869600 164336780160 167527785600 172553619168 176075121600 179743353300 182596422400 187813463040 191460326400 191726243520 197204136192 201228710400 204507993088 205420975200 215692023960 219115706880 223370380800 230071492224 234766828800 239657804400 246505170240 255634991360 262938848256 268044456960 269615029950 273894633600 281720194560 287589365280 306761989632 308131462800 313022438400 319543739200 328673560320 335055571200 345107238336 352150243200 359486706600 365192844800 383452487040 394408272384 402457420800 410841950400 431384047920 438231413760 446740761600 460142984448 469533657600 479315608800 493010340480 511269982720 539230059900 547789267200 563440389120 575178730560 613523979264 616262925600 639087478400 657347120640 670111142400 690214476672 704300486400 718973413200 730385689600 766904974080 788816544768 821683900800 862768095840 920285968896 939067315200 958631217600 986020680960 1022539965440 1078460119800 1095578534400 1150357461120 1232525851200 1278174956800 1314694241280 1340222284800 1380428953344 1408600972800 1437946826400 1533809948160 1643367801600 1725536191680 1840571937792 1917262435200 1972041361920 2156920239600 2191157068800 2300714922240 2465051702400 2556349913600 2760857906688 2817201945600 2875893652800 3067619896320 3286735603200 3451072383360 3834524870400 3944082723840 4313840479200 4601429844480 4930103404800 5112699827200 5521715813376 5751787305600 6573471206400 6902144766720 7669049740800 8627680958400 9202859688960 9860206809600 11503574611200 13804289533440 15338099481600 17255361916800 19720413619200 23007149222400 27608579066880 34510723833600 46014298444800 69021447667200 138042895334400
- Sum of all divisors σ(n): 597019700992000
- Sum of proper divisors (its aliquot sum) s(n): 458976805657600
- 138042895334400 is an abundant number, because the sum of its proper divisors (458976805657600) is greater than itself. Its abundance is 320933910323200
Bases of 138042895334400
- Binary: 111110110001100100111011011110101111100000000002
- Hexadecimal: 0x7D8C9DBD7C00
- Base-36: 1CXK13PXC0
Squares and roots of 138042895334400
- 138042895334400 squared (1380428953344002) is 19055840952304113287823360000
- 138042895334400 cubed (1380428953344003) is 2630523458087889933109600346475331584000000
-
The
square root of 138042895334400 is 11749165.7292932931 -
The
cube root of 138042895334400 is 51681.8462695119
Scales and comparisons
How big is 138042895334400?- 138,042,895,334,400 seconds is equal to 4,389,337 years, 4 weeks.
-
To count from 1 to 138,042,895,334,400 would take you about ten million, nine hundred seventy-three thousand, three hundred forty-two 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 138042895334400 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138042895334400
- 138042895334400 backwards is 004433598240831
- 138042895334400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138042895334400's digits is 54
- 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 138042895334400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 138042895334400 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/138042895334400/
Chicago style:
Numbermatics. 2024. "Number 138042895334400 - Facts about the integer". https://numbermatics.com/n/138042895334400/
The information we have on file for 138042895334400 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 138042895334400, math, Factors of 138042895334400, curriculum, school, college, exams, university, Prime factorization of 138042895334400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, forty-two billion, eight hundred ninety-five million, three hundred thirty-four thousand, four hundred.