138048009715200
138,048,009,715,200 is an even composite number composed of eight prime numbers multiplied together.
138048009715200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138048009715200:
29 × 3 × 52 × 13 × 37 × 41 × 421 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 37 × 41 × 421 × 433)See below for interesting mathematical facts about the number 138048009715200 from the Numbermatics database.
Names of 138048009715200
- Cardinal: 138048009715200 can be written as One hundred thirty-eight trillion, forty-eight billion, nine million, seven hundred fifteen thousand, two hundred.
Scientific notation
- Scientific notation: 1.380480097152 × 1014
Factors of 138048009715200
Divisors of 138048009715200
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 41 48 50 52 60 64 65 74 75 78 80 82 96 100 104 111 120 123 128 130 148 150 156 160 164 185 192 195 200 205 208 222 240 246 256 260 296 300 312 320 325 328 370 384 390 400 410 416 421 433 444 480 481 492 512 520 533 555 592 600 615 624 640 650 656 740 768 780 800 820 832 842 866 888 925 960 962 975 984 1025 1040 1066 1110 1184 1200 1230 1248 1263 1280 1299 1300 1312 1443 1480 1517 1536 1560 1599 1600 1640 1664 1684 1732 1776 1850 1920 1924 1950 1968 2050 2080 2105 2132 2165 2220 2368 2400 2405 2460 2496 2526 2560 2598 2600 2624 2665 2775 2886 2960 3034 3075 3120 3198 3200 3280 3328 3368 3464 3552 3700 3840 3848 3900 3936 4100 4160 4210 4264 4330 4440 4551 4736 4800 4810 4920 4992 5052 5196 5200 5248 5330 5473 5550 5629 5772 5920 6068 6150 6240 6315 6396 6400 6495 6560 6656 6736 6928 7104 7215 7400 7585 7680 7696 7800 7872 7995 8200 8320 8420 8528 8660 8880 9102 9472 9600 9620 9840 9984 10104 10392 10400 10496 10525 10660 10825 10946 11100 11258 11544 11840 12025 12136 12300 12480 12630 12792 12800 12990 13120 13325 13472 13856 14208 14430 14800 15170 15392 15577 15600 15744 15990 16021 16400 16419 16640 16840 16887 17056 17261 17320 17753 17760 18204 18944 19200 19240 19680 19721 19968 20208 20784 20800 20992 21050 21320 21650 21892 22200 22516 22755 23088 23680 24050 24272 24600 24960 25260 25584 25980 26240 26650 26944 27365 27712 28145 28416 28860 29600 30340 30784 31154 31200 31488 31575 31980 32042 32475 32800 32838 33280 33680 33774 34112 34522 34640 35506 35520 36075 36408 37925 38400 38480 39360 39442 39975 40416 41568 41600 42100 42640 43300 43784 44400 45032 45510 46176 46731 47360 48063 48100 48544 49200 49920 50520 51168 51783 51960 52480 53259 53300 53888 54730 55424 56290 56832 57720 59163 59200 60680 61568 62308 62400 62976 63150 63960 64084 64950 65600 65676 67360 67548 68224 69044 69280 71012 71040 72150 72816 75850 76960 77885 78720 78884 79950 80105 80832 82095 83136 83200 84200 84435 85280 86305 86600 87568 88765 88800 90064 91020 92352 93462 94720 96126 96200 97088 98400 98605 99840 101040 102336 103566 103920 104960 106518 106600 107776 109460 110848 112580 113775 115440 118326 118400 121360 123136 124616 124800 126300 127920 128168 129900 131200 131352 134720 135096 136448 136825 138088 138560 140725 142024 142080 144300 145632 151700 153920 155770 157440 157768 159900 160210 161664 164190 166272 166400 168400 168870 170560 172610 173200 175136 177530 177600 180128 182040 182293 184704 186924 192252 192400 194176 196800 197210 202080 202501 204672 207132 207840 208273 213036 213200 215552 218920 221696 224393 225160 227550 230789 230880 233655 236652 236800 240315 242720 246272 249232 249600 252600 255840 256336 258915 259800 262400 262704 266295 269440 270192 272896 273650 276176 277120 281450 284048 284160 288600 291264 295815 303400 307840 311540 314880 315536 319800 320420 323328 328380 332544 336800 337740 341120 345220 346400 350272 355060 355200 360256 364080 364586 369408 373848 384504 384800 388352 389425 393600 394420 400525 404160 405002 409344 410475 414264 415680 416546 422175 426072 426400 431525 437840 443825 448786 450320 455100 461578 461760 467310 473304 473600 480630 485440 493025 498464 499200 505200 511680 512672 517830 519600 524800 525408 532590 538880 540384 546879 547300 552352 554240 562900 568096 577200 582528 591630 606800 607503 615680 623080 624819 631072 638657 639600 640840 646656 656760 656861 665088 673179 673600 675480 682240 690440 692367 692800 700544 710120 710400 720512 728160 729172 738816 747696 769008 769600 776704 778850 787200 788840 801050 808320 810004 818688 820950 828528 831360 833092 844350 852144 852800 863050 875680 887650 897572 900640 910200 911465 923156 923520 934620 946608 961260 970880 986050 996928 1010400 1012505 1023360 1025344 1035660 1039200 1041365 1050816 1065180 1077760 1080768 1093758 1094600 1104704 1108480 1121965 1125800 1136192 1153945 1154400 1165056 1168275 1183260 1201575 1213600 1215006 1231360 1246160 1249638 1262144 1277314 1279200 1281680 1294575 1313520 1313722 1331475 1346358 1347200 1350960 1364480 1380880 1384734 1385600 1401088 1420240 1420800 1441024 1456320 1458344 1479075 1495392 1538016 1539200 1557700 1574400 1577680 1602100 1616640 1620008 1641900 1657056 1662720 1666184 1688700 1704288 1705600 1726100 1751360 1775300 1795144 1801280 1820400 1822930 1846312 1847040 1869240 1893216 1915971 1922520 1941760 1970583 1972100 1993856 2020800 2025010 2046720 2050688 2071320 2078400 2082730 2101632 2130360 2161536 2187516 2189200 2209408 2243930 2251600 2272384 2307890 2308800 2330112 2336550 2366520 2369809 2403150 2427200 2430012 2492320 2499276 2524288 2554628 2558400 2563360 2589150 2627040 2627444 2662950 2692716 2694400 2701920 2734395 2761760 2769468 2771200 2802176 2840480 2882048 2912640 2916688 2958150 2990784 3037515 3076032 3078400 3115400 3124095 3155360 3193285 3204200 3233280 3240016 3283800 3284305 3314112 3325440 3332368 3365895 3377400 3408576 3411200 3452200 3461835 3502720 3550600 3590288 3602560 3640800 3645860 3692624 3694080 3738480 3786432 3831942 3845040 3883520 3941166 3944200 3987712 4041600 4050020 4093440 4101376 4142640 4156800 4165460 4203264 4260720 4323072 4375032 4378400 4418816 4487860 4503200 4544768 4557325 4615780 4617600 4673100 4733040 4739618 4806300 4854400 4860024 4984640 4998552 5048576 5062525 5109256 5116800 5126720 5178300 5206825 5254080 5254888 5325900 5385432 5388800 5403840 5468790 5523520 5538936 5542400 5609825 5680960 5769725 5825280 5833376 5916300 5981568 6075030 6152064 6156800 6230800 6248190 6310720 6386570 6408400 6480032 6567600 6568610 6628224 6664736 6731790 6744841 6754800 6817152 6822400 6904400 6923670 7005440 7101200 7109427 7180576 7205120 7281600 7291720 7385248 7474013 7476960 7572864 7663884 7690080 7882332 7888400 7975424 8083200 8100040 8202752 8285280 8302541 8313600 8330920 8406528 8521440 8539193 8646144 8750064 8756800 8837632 8975720 9006400 9089536 9114650 9231560 9235200 9346200 9466080 9479236 9579855 9612600 9708800 9720048 9852915 9969280 9997104 10097152 10125050 10218512 10233600 10253440 10356600 10413650 10508160 10509776 10651800 10770864 10807680 10937580 11047040 11077872 11219650 11361920 11539450 11650560 11666752 11832600 11849045 11963136 12150060 12304128 12461600 12496380 12621440 12773140 12816800 12960064 13135200 13137220 13256448 13329472 13463580 13489682 13509600 13634304 13671975 13808800 13847340 14010880 14202400 14218854 14361152 14410240 14563200 14583440 14770496 14948026 14953920 15145728 15187575 15327768 15380160 15620475 15764664 15776800 15966425 16166400 16200080 16421525 16570560 16605082 16627200 16661840 16829475 17042880 17078386 17309175 17500128 17513600 17951440 18012800 18229300 18463120 18470400 18692400 18932160 18958472 19159710 19225200 19417600 19440096 19705830 19938560 19994208 20234523 20250100 20437024 20467200 20506880 20713200 20827300 21016320 21019552 21303600 21541728 21615360 21875160 22094080 22155744 22422039 22439300 22723840 23078900 23333504 23665200 23698090 23926272 24300120 24608256 24907623 24923200 24992760 25242880 25546280 25617579 25633600 25920128 26270400 26274440 26512896 26658944 26927160 26979364 27019200 27268608 27343950 27617600 27694680 28404800 28437708 28722304 29126400 29166880 29540992 29896052 29907840 30291456 30375150 30655536 30760320 31240950 31529328 31553600 31932850 32400160 32843050 33141120 33210164 33323680 33658950 33724205 34085760 34156772 34618350 35000256 35027200 35547135 35902880 36025600 36458600 36926240 37370065 37384800 37864320 37916944 38319420 38450400 38880192 39411660 39877120 39988416 40469046 40500200 40874048 41013760 41426400 41512705 41654600 42032640 42039104 42607200 42695965 43083456 43230720 43750320 44188160 44311488 44844078 44878600 45447680 46157800 46667008 47330400 47396180 47899275 48600240 49264575 49815246 49846400 49985520 50485760 51092560 51235158 51267200 51840256 52540800 52548880 53317888 53854320 53958728 54038400 54687900 55235200 55389360 56809600 56875416 57444608 58252800 58333760 59081984 59245225 59792104 59815680 60750300 61311072 61520640 62481900 63058656 63107200 63865700 64800320 65686100 66282240 66420328 66647360 67317900 67448410 68171520 68313544 69236700 70000512 70054400 71094270 71805760 72051200 72917200 73852480 74740130 74769600 75728640 75833888 76638840 76900800 77760384 78823320 79976832 80938092 81000400 81748096 82852800 83025410 83309200 84078208 85214400 85391930 86166912 87500640 87682933 88622976 89688156 89757200 92315600 93334016 94660800 94792360 95798550 97162169 97200480 98529150 99630492 99692800 99971040 101172615 102185120 102470316 102534400 103680512 105081600 105097760 106635776 107708640 107917456 108076800 109375800 110470400 110778720 112110195 113619200 113750832 114889216 116667520 118163968 118490450 119584208 119631360 121500600 122622144 123041280 124538115 124963800 126117312 126214400 127731400 128087895 129600640 131372200 132564480 132840656 133294720 134635800 134896820 136343040 136627088 138473400 140001024 142188540 143611520 145834400 147704960 149480260 149539200 151457280 151667776 153277680 153801600 155520768 157646640 159953664 161876184 162000800 163496192 165705600 166050820 166618400 168156416 168621025 170428800 170783860 172333824 175001280 175365866 177245952 177735675 179376312 179514400 184631200 186850325 189321600 189584720 191597100 194324338 194400960 197058300 199260984 199385600 199942080 202345230 204370240 204940632 205068800 207563525 210163200 210195520 213479825 215417280 215834912 216153600 218751600 220940800 221557440 224220390 227238400 227501664 233335040 236980900 239168416 243001200 245244288 249076230 249927600 252234624 252428800 255462800 256175790 259201280 262744400 263048799 265681312 266589440 269271600 269793640 273254176 276538481 276946800 280002048 284377080 287223040 291486507 291668800 295409920 298960520 299078400 303335552 306555360 307603200 311041536 315293280 319907328 323752368 324001600 326992384 331411200 332101640 333236800 336312832 337242050 340857600 341567720 344667648 350002560 350731732 354491904 355471350 358752624 359028800 369262400 373700650 378643200 379169440 383194200 388648676 388801920 394116600 398521968 399884160 404690460 408740480 409881264 415127050 420391040 426959650 430834560 431669824 437503200 438414665 443114880 448440780 455003328 466670080 473961800 478336832 485810845 486002400 490488576 498152460 499855200 504469248 505863075 510925600 512351580 518402560 525488800 526097598 531362624 533178880 538543200 539587280 546508352 553076962 553893600 560550975 568754160 574446080 582973014 583337600 590819840 597921040 598156800 606671104 613110720 615206400 622690575 630586560 640439475 647504736 648003200 662822400 664203280 666473600 674484100 681715200 683135440 700005120 701463464 710942700 717505248 718057600 738524800 747401300 757286400 758338880 766388400 777297352 777603840 788233200 797043936 799768320 809380920 817480960 819762528 829615443 830254100 840782080 853919300 861669120 863339648 875006400 876829330 886229760 896881560 910006656 947923600 956673664 971621690 972004800 980977152 996304920 999710400 1008938496 1011726150 1021851200 1024703160 1050977600 1052195196 1062725248 1077086400 1079174560 1093016704 1106153924 1107787200 1121101950 1137508320 1165946028 1166675200 1195842080 1213342208 1226221440 1245381150 1261173120 1280878950 1295009472 1296006400 1315243995 1328406560 1332947200 1348968200 1366270880 1382692405 1400010240 1402926928 1421885400 1435010496 1436115200 1457432535 1477049600 1494802600 1516677760 1532776800 1554594704 1555207680 1576466400 1594087872 1599536640 1618761840 1634961920 1639525056 1659230886 1660508200 1681564160 1707838600 1723338240 1726679296 1750012800 1753658660 1772459520 1793763120 1820013312 1895847200 1913347328 1943243380 1944009600 1992609840 1999420800 2023452300 2043702400 2049406320 2101955200 2104390392 2125450496 2154172800 2158349120 2186033408 2192073325 2212307848 2215574400 2242203900 2275016640 2331892056 2333350400 2391684160 2429054225 2452442880 2490762300 2522346240 2561757900 2590018944 2592012800 2630487990 2656813120 2665894400 2697936400 2732541760 2765384810 2805853856 2843770800 2870020992 2872230400 2914865070 2954099200 2989605200 3033355520 3065553600 3109189408 3152932800 3188175744 3237523680 3279050112 3318461772 3321016400 3415677200 3453358592 3500025600 3507317320 3587526240 3595000253 3640026624 3791694400 3826694656 3886486760 3888019200 3985219680 3998841600 4046904600 4087404800 4098812640 4148077215 4203910400 4208780784 4250900992 4308345600 4316698240 4372066816 4384146650 4424615696 4431148800 4484407800 4550033280 4663784112 4783368320 4858108450 4904885760 4981524600 5044692480 5123515800 5180037888 5260975980 5313626240 5395872800 5465083520 5530769620 5611707712 5687541600 5740041984 5829730140 5979210400 6066711040 6131107200 6218378816 6305865600 6376351488 6475047360 6558100224 6576219975 6636923544 6642032800 6831354400 6913462025 7000051200 7014634640 7175052480 7190000506 7287162675 7583388800 7772973520 7776038400 7970439360 7997683200 8093809200 8174809600 8197625280 8296154430 8407820800 8417561568 8616691200 8633396480 8768293300 8849231392 8862297600 8968815600 9100066560 9327568224 9566736640 9716216900 9963049200 10247031600 10360075776 10521951960 10627252480 10785000759 10791745600 10930167040 11061539240 11223415424 11375083200 11480083968 11659460280 11958420800 12262214400 12436757632 12611731200 12752702976 12950094720 13116200448 13152439950 13273847088 13284065600 13662708800 13826924050 14029269280 14350104960 14380001012 14574325350 15166777600 15545947040 15940878720 16187618400 16395250560 16592308860 16835123136 17266792960 17536586600 17698462784 17937631200 17975001265 18200133120 18655136448 19133473280 19432433800 19926098400 20494063200 20740386075 21043903920 21254504960 21570001518 21583491200 21860334080 22123078480 22446830848 22750166400 23318920560 23916841600 24524428800 24873515264 25223462400 25900189440 26304879900 26547694176 26568131200 27325417600 27653848100 28058538560 28700209920 28760002024 29148650700 30333555200 31091894080 31881757440 32375236800 32790501120 33184617720 33670246272 35073173200 35396925568 35875262400 35950002530 37310272896 38864867600 39852196800 40988126400 41480772150 42087807840 43140003036 43166982400 44246156960 44893661696 45500332800 46637841120 47833683200 49747030528 51800378880 52609759800 53095388352 53136262400 53925003795 54650835200 55307696200 56117077120 57400419840 57520004048 58297301400 62183788160 63763514880 64750473600 65581002240 66369235440 67340492544 70146346400 70793851136 71750524800 71900005060 74620545792 77729735200 79704393600 81976252800 82961544300 84175615680 86280006072 86333964800 88492313920 89875006325 91000665600 93275682240 95667366400 105219519600 106190776704 106272524800 107850007590 109301670400 110615392400 112234154240 115040008096 116594602800 124367576320 129500947200 132738470880 134680985088 140292692800 141587702272 143501049600 143800010120 149241091584 155459470400 159408787200 163952505600 165923088600 168351231360 172560012144 176984627840 179750012650 186551364480 210439039200 212381553408 215700015180 221230784800 224468308480 230080016192 233189205600 248735152640 259001894400 265476941760 269625018975 280585385600 287002099200 287600020240 310918940800 318817574400 327905011200 331846177200 336702462720 345120024288 353969255680 359500025300 373102728960 420878078400 424763106816 431400030360 442461569600 460160032384 466378411200 530953883520 539250037950 561170771200 575200040480 621837881600 663692354400 673404925440 690240048576 707938511360 719000050600 746205457920 841756156800 862800060720 884923139200 920320064768 932756822400 1061907767040 1078500075900 1122341542400 1150400080960 1243675763200 1327384708800 1380480097152 1438000101200 1683512313600 1725600121440 1769846278400 1840640129536 1865513644800 2123815534080 2157000151800 2300800161920 2654769417600 2760960194304 2876000202400 3367024627200 3451200242880 3539692556800 3731027289600 4314000303600 4601600323840 5309538835200 5521920388608 5752000404800 6902400485760 8628000607200 9203200647680 10619077670400 11504000809600 13804800971520 17256001214400 23008001619200 27609601943040 34512002428800 46016003238400 69024004857600 138048009715200
- Sum of all divisors σ(n): 519111227505024
- Sum of proper divisors (its aliquot sum) s(n): 381063217789824
- 138048009715200 is an abundant number, because the sum of its proper divisors (381063217789824) is greater than itself. Its abundance is 243015208074624
Bases of 138048009715200
- Binary: 111110110001101110011101001010010111110000000002
- Hexadecimal: 0x7D8DCE94BE00
- Base-36: 1CXMDOOUTC
Squares and roots of 138048009715200
- 138048009715200 squared (1380480097152002) is 19057252986327953585111040000
- 138048009715200 cubed (1380480097152003) is 2630815845401625549290743519990775808000000
-
The
square root of 138048009715200 is 11749383.3759563739 -
The
cube root of 138048009715200 is 51682.4845188943
Scales and comparisons
How big is 138048009715200?- 138,048,009,715,200 seconds is equal to 4,389,499 years, 36 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 138,048,009,715,200 would take you about ten million, nine hundred seventy-three thousand, seven hundred forty-nine 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 138048009715200 cubic inches would be around 4306.9 feet tall.
Recreational maths with 138048009715200
- 138048009715200 backwards is 002517900840831
- 138048009715200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138048009715200's digits is 48
- More coming soon!
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"Number 138048009715200 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138048009715200 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138048009715200/
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The information we have on file for 138048009715200 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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