138540278773512179200000
138,540,278,773,512,179,200,000 is an even composite number composed of five prime numbers multiplied together.
138540278773512179200000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 138540278773512179200000:
212 × 55 × 72 × 132 × 1307023219319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 1307023219319)See below for interesting mathematical facts about the number 138540278773512179200000 from the Numbermatics database.
Names of 138540278773512179200000
- Cardinal: 138540278773512179200000 can be written as One hundred thirty-eight sextillion, five hundred forty quintillion, two hundred seventy-eight quadrillion, seven hundred seventy-three trillion, five hundred twelve billion, one hundred seventy-nine million, two hundred thousand.
Scientific notation
- Scientific notation: 1.385402787735121792 × 1023
Factors of 138540278773512179200000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 22
- Sum of prime factors: 1307023219346
Divisors of 138540278773512179200000
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 70 80 91 98 100 104 112 125 128 130 140 160 169 175 182 196 200 208 224 245 250 256 260 280 320 325 338 350 364 392 400 416 448 455 490 500 512 520 560 625 637 640 650 676 700 728 784 800 832 845 875 896 910 980 1000 1024 1040 1120 1183 1225 1250 1274 1280 1300 1352 1400 1456 1568 1600 1625 1664 1690 1750 1792 1820 1960 2000 2048 2080 2240 2275 2366 2450 2500 2548 2560 2600 2704 2800 2912 3125 3136 3185 3200 3250 3328 3380 3500 3584 3640 3920 4000 4096 4160 4225 4375 4480 4550 4732 4900 5000 5096 5120 5200 5408 5600 5824 5915 6125 6250 6272 6370 6400 6500 6656 6760 7000 7168 7280 7840 8000 8125 8281 8320 8450 8750 8960 9100 9464 9800 10000 10192 10240 10400 10816 11200 11375 11648 11830 12250 12500 12544 12740 12800 13000 13312 13520 14000 14336 14560 15680 15925 16000 16250 16562 16640 16900 17500 17920 18200 18928 19600 20000 20384 20480 20800 21125 21632 21875 22400 22750 23296 23660 24500 25000 25088 25480 25600 26000 26624 27040 28000 28672 29120 29575 30625 31360 31850 32000 32500 33124 33280 33800 35000 35840 36400 37856 39200 40000 40625 40768 41405 41600 42250 43264 43750 44800 45500 46592 47320 49000 50000 50176 50960 51200 52000 53248 54080 56000 56875 58240 59150 61250 62720 63700 64000 65000 66248 66560 67600 70000 71680 72800 75712 78400 79625 80000 81250 81536 82810 83200 84500 86528 87500 89600 91000 93184 94640 98000 100000 100352 101920 102400 104000 105625 108160 112000 113750 116480 118300 122500 125440 127400 128000 130000 132496 133120 135200 140000 143360 145600 147875 151424 153125 156800 159250 160000 162500 163072 165620 166400 169000 173056 175000 179200 182000 186368 189280 196000 200000 200704 203840 207025 208000 211250 216320 224000 227500 232960 236600 245000 250880 254800 256000 260000 264992 266240 270400 280000 284375 291200 295750 302848 306250 313600 318500 320000 325000 326144 331240 332800 338000 346112 350000 358400 364000 372736 378560 392000 398125 400000 407680 414050 416000 422500 432640 448000 455000 465920 473200 490000 501760 509600 512000 520000 528125 529984 540800 560000 568750 582400 591500 605696 612500 627200 637000 640000 650000 652288 662480 665600 676000 692224 700000 716800 728000 739375 757120 784000 796250 800000 815360 828100 832000 845000 865280 896000 910000 931840 946400 980000 1003520 1019200 1035125 1040000 1056250 1059968 1081600 1120000 1137500 1164800 1183000 1211392 1225000 1254400 1274000 1280000 1300000 1304576 1324960 1331200 1352000 1400000 1456000 1478750 1514240 1568000 1592500 1600000 1630720 1656200 1664000 1690000 1730560 1792000 1820000 1863680 1892800 1960000 1990625 2038400 2070250 2080000 2112500 2119936 2163200 2240000 2275000 2329600 2366000 2422784 2450000 2508800 2548000 2560000 2600000 2609152 2649920 2704000 2800000 2912000 2957500 3028480 3136000 3185000 3200000 3261440 3312400 3328000 3380000 3461120 3584000 3640000 3696875 3785600 3920000 3981250 4076800 4140500 4160000 4225000 4239872 4326400 4480000 4550000 4659200 4732000 4845568 4900000 5017600 5096000 5175625 5200000 5299840 5408000 5600000 5824000 5915000 6056960 6272000 6370000 6400000 6522880 6624800 6656000 6760000 7280000 7393750 7571200 7840000 7962500 8153600 8281000 8320000 8450000 8479744 8652800 8960000 9100000 9318400 9464000 9800000 10192000 10351250 10400000 10599680 10816000 11200000 11648000 11830000 12113920 12544000 12740000 12800000 13045760 13249600 13520000 14560000 14787500 15142400 15680000 15925000 16307200 16562000 16640000 16900000 16959488 17305600 17920000 18200000 18928000 19600000 20384000 20702500 20800000 21199360 21632000 22400000 23296000 23660000 24227840 25088000 25480000 25878125 26499200 27040000 29120000 29575000 30284800 31360000 31850000 32614400 33124000 33280000 33800000 33918976 36400000 37856000 39200000 40768000 41405000 41600000 42398720 43264000 44800000 46592000 47320000 50960000 51756250 52998400 54080000 58240000 59150000 60569600 62720000 63700000 65228800 66248000 67600000 72800000 75712000 78400000 81536000 82810000 83200000 84797440 86528000 89600000 94640000 101920000 103512500 105996800 108160000 116480000 118300000 121139200 125440000 127400000 132496000 135200000 145600000 151424000 156800000 163072000 165620000 166400000 169594880 189280000 203840000 207025000 211993600 216320000 232960000 236600000 254800000 264992000 270400000 291200000 302848000 313600000 326144000 331240000 378560000 407680000 414050000 423987200 432640000 473200000 509600000 529984000 540800000 582400000 605696000 627200000 662480000 757120000 815360000 828100000 847974400 946400000 1019200000 1059968000 1081600000 1164800000 1324960000 1514240000 1630720000 1656200000 1892800000 2038400000 2119936000 2163200000 2649920000 3028480000 3312400000 3785600000 4076800000 4239872000 5299840000 6624800000 7571200000 8153600000 10599680000 13249600000 15142400000 21199360000 26499200000 52998400000 105996800000 1307023219319 2614046438638 5228092877276 6535116096595 9149162535233 10456185754552 13070232193190 16991301851147 18298325070466 20912371509104 26140464386380 32675580482975 33982603702294 36596650140932 41824743018208 45745812676165 52280928772760 64044137746631 65351160965950 67965207404588 73193300281864 83649486036416 84956509255735 91491625352330 104561857545520 118939112958029 128088275493262 130702321931900 135930414809176 146386600563728 163377902414875 167298972072832 169913018511470 182983250704660 209123715091040 220886924064911 228729063380825 237878225916058 256176550986524 261404643863800 271860829618352 292773201127456 320220688733155 326755804829750 334597944145664 339826037022940 365966501409320 418247430182080 424782546278675 441773848129822 457458126761650 475756451832116 512353101973048 522809287727600 543721659236704 585546402254912 594695564790145 640441377466310 653511609659500 669195888291328 679652074045880 731933002818640 816889512074375 832573790706203 836494860364160 849565092557350 883547696259644 914916253523300 951512903664232 1024706203946096 1045618575455200 1087443318473408 1104434620324555 1143645316904125 1171092804509824 1189391129580290 1280882754932620 1307023219319000 1338391776582656 1359304148091760 1463866005637280 1546208468454377 1601103443665775 1633779024148750 1665147581412406 1672989720728320 1699130185114700 1767095392519288 1829832507046600 1903025807328464 2049412407892192 2091237150910400 2123912731393375 2174886636946816 2208869240649110 2287290633808250 2342185609019648 2378782259160580 2561765509865240 2614046438638000 2676783553165312 2718608296183520 2927732011274560 2973477823950725 3092416936908754 3202206887331550 3267558048297500 3330295162824812 3345979441456640 3398260370229400 3534190785038576 3659665014093200 3806051614656928 4084447560371875 4098824815784384 4162868953531015 4182474301820800 4247825462786750 4349773273893632 4417738481298220 4574581267616500 4684371218039296 4757564518321160 5123531019730480 5228092877276000 5353567106330624 5437216592367040 5522173101622775 5718226584520625 5855464022549120 5946955647901450 6184833873817508 6404413774663100 6535116096595000 6660590325649624 6691958882913280 6796520740458800 7068381570077152 7319330028186400 7612103229313856 7731042342271885 8005517218328875 8168895120743750 8197649631568768 8325737907062030 8364948603641600 8495650925573500 8699546547787264 8835476962596440 9149162535233000 9368742436078592 9515129036642320 10247062039460960 10456185754552000 10619563656966875 10823459279180639 10874433184734080 11044346203245550 11436453169041250 11710928045098240 11893911295802900 12369667747635016 12808827549326200 13070232193190000 13321180651299248 13383917765826560 13593041480917600 14136763140154304 14638660056372800 14867389119753625 15224206458627712 15462084684543770 16011034436657750 16337790241487500 16395299263137536 16651475814124060 16729897207283200 16991301851147000 17399093095574528 17670953925192880 18298325070466000 18737484872157184 19030258073284640 20494124078921920 20814344767655075 20912371509104000 21239127313933750 21646918558361278 21748866369468160 22088692406491100 22872906338082500 23421856090196480 23787822591605800 24739335495270032 25617655098652400 26140464386380000 26642361302598496 26767835531653120 27186082961835200 27610865508113875 28273526280308608 28591132922603125 29277320112745600 29734778239507250 30448412917255424 30924169369087540 32022068873315500 32675580482975000 32790598526275072 33302951628248120 33459794414566400 33982603702294000 34798186191149056 35341907850385760 36596650140932000 37474969744314368 38060516146569280 38655211711359425 40027586091644375 40988248157843840 41628689535310150 41824743018208000 42478254627867500 43293837116722556 43497732738936320 44177384812982200 45745812676165000 46843712180392960 47575645183211600 49478670990540064 51235310197304800 52280928772760000 53097818284834375 53284722605196992 54117296395903195 54372165923670400 55221731016227750 56547052560617216 57182265845206250 58554640225491200 59469556479014500 60896825834510848 61848338738175080 64044137746631000 65351160965950000 65581197052550144 66605903256496240 66919588829132800 67965207404588000 69596372382298112 70683815700771520 73193300281864000 74336945598768125 76121032293138560 77310423422718850 80055172183288750 81976496315687680 83257379070620300 83649486036416000 84956509255735000 86587674233445112 86995465477872640 88354769625964400 91491625352330000 93687424360785920 95151290366423200 98957341981080128 102470620394609600 104071723838275375 104561857545520000 106195636569668750 106569445210393984 108234592791806390 108744331847340800 110443462032455500 113094105121234432 114364531690412500 117109280450982400 118939112958029000 121793651669021696 123696677476350160 128088275493262000 130702321931900000 131162394105100288 133211806512992480 133839177658265600 135930414809176000 138054327540569375 141367631401543040 146386600563728000 148673891197536250 152242064586277120 154620846845437700 160110344366577500 163952992631375360 166514758141240600 167298972072832000 169913018511470000 173175348466890224 173990930955745280 176709539251928800 182983250704660000 187374848721571840 190302580732846400 193276058556797125 197914683962160256 200137930458221875 204941240789219200 208143447676550750 209123715091040000 212391273139337500 213138890420787968 216469185583612780 217488663694681600 220886924064911000 226188210242468864 228729063380825000 234218560901964800 237878225916058000 243587303338043392 247393354952700320 256176550986524000 261404643863800000 262324788210200576 266423613025984960 270586481979515975 271860829618352000 276108655081138750 282735262803086080 292773201127456000 297347782395072500 304484129172554240 309241693690875400 320220688733155000 327905985262750720 333029516282481200 334597944145664000 339826037022940000 346350696933780448 347981861911490560 353419078503857600 365966501409320000 371684727993840625 380605161465692800 386552117113594250 395829367924320512 400275860916443750 409882481578438400 416286895353101500 418247430182080000 424782546278675000 426277780841575936 432938371167225560 434977327389363200 441773848129822000 452376420484937728 457458126761650000 468437121803929600 475756451832116000 487174606676086784 494786709905400640 512353101973048000 520358619191376875 522809287727600000 532847226051969920 541172963959031950 543721659236704000 552217310162277500 565470525606172160 585546402254912000 594695564790145000 608968258345108480 618483387381750800 640441377466310000 655811970525501440 666059032564962400 669195888291328000 679652074045880000 690271637702846875 692701393867560896 706838157007715200 731933002818640000 743369455987681250 761210322931385600 773104234227188500 791658735848641024 800551721832887500 819764963156876800 832573790706203000 836494860364160000 849565092557350000 852555561683151872 865876742334451120 869954654778726400 883547696259644000 904752840969875456 914916253523300000 936874243607859200 951512903664232000 966380292783985625 989573419810801280 1024706203946096000 1040717238382753750 1045618575455200000 1065694452103939840 1082345927918063900 1087443318473408000 1104434620324555000 1130941051212344320 1171092804509824000 1189391129580290000 1217936516690216960 1236966774763501600 1280882754932620000 1311623941051002880 1332118065129924800 1352932409897579875 1359304148091760000 1380543275405693750 1385402787735121792 1413676314015430400 1463866005637280000 1486738911975362500 1522420645862771200 1546208468454377000 1583317471697282048 1601103443665775000 1639529926313753600 1665147581412406000 1672989720728320000 1699130185114700000 1705111123366303744 1731753484668902240 1739909309557452800 1767095392519288000 1829832507046600000 1903025807328464000 1932760585567971250 1979146839621602560 2049412407892192000 2081434476765507500 2091237150910400000 2131388904207879680 2164691855836127800 2174886636946816000 2208869240649110000 2261882102424688640 2342185609019648000 2378782259160580000 2435873033380433920 2473933549527003200 2561765509865240000 2601793095956884375 2664236130259849600 2705864819795159750 2718608296183520000 2761086550811387500 2770805575470243584 2827352628030860800 2927732011274560000 2973477823950725000 3044841291725542400 3092416936908754000 3166634943394564096 3202206887331550000 3279059852627507200 3330295162824812000 3345979441456640000 3398260370229400000 3410222246732607488 3463506969337804480 3534190785038576000 3659665014093200000 3806051614656928000 3865521171135942500 3958293679243205120 4098824815784384000 4162868953531015000 4182474301820800000 4262777808415759360 4329383711672255600 4349773273893632000 4417738481298220000 4523764204849377280 4684371218039296000 4757564518321160000 4831901463919928125 4947867099054006400 5123531019730480000 5203586191913768750 5328472260519699200 5411729639590319500 5437216592367040000 5522173101622775000 5541611150940487168 5654705256061721600 5855464022549120000 5946955647901450000 6089682583451084800 6184833873817508000 6333269886789128192 6404413774663100000 6558119705255014400 6660590325649624000 6764662049487899375 6796520740458800000 6927013938675608960 7068381570077152000 7319330028186400000 7612103229313856000 7731042342271885000 7916587358486410240 8197649631568768000 8325737907062030000 8364948603641600000 8525555616831518720 8658767423344511200 8699546547787264000 8835476962596440000 9515129036642320000 9663802927839856250 9895734198108012800 10247062039460960000 10407172383827537500 10656944521039398400 10823459279180639000 10874433184734080000 11044346203245550000 11083222301880974336 11309410512123443200 11710928045098240000 11893911295802900000 12179365166902169600 12369667747635016000 12808827549326200000 13321180651299248000 13529324098975798750 13593041480917600000 13854027877351217920 14136763140154304000 14638660056372800000 15224206458627712000 15462084684543770000 15833174716972820480 16395299263137536000 16651475814124060000 16729897207283200000 17051111233663037440 17317534846689022400 17670953925192880000 19030258073284640000 19327605855679712500 19791468396216025600 20494124078921920000 20814344767655075000 21313889042078796800 21646918558361278000 21748866369468160000 22088692406491100000 22166444603761948672 22618821024246886400 23421856090196480000 23787822591605800000 24739335495270032000 25617655098652400000 26642361302598496000 27058648197951597500 27186082961835200000 27708055754702435840 28273526280308608000 29277320112745600000 30448412917255424000 30924169369087540000 31666349433945640960 32790598526275072000 33302951628248120000 33823310247439496875 34635069693378044800 35341907850385760000 38060516146569280000 38655211711359425000 39582936792432051200 40988248157843840000 41628689535310150000 42627778084157593600 43293837116722556000 43497732738936320000 44177384812982200000 44332889207523897344 47575645183211600000 49478670990540064000 51235310197304800000 53284722605196992000 54117296395903195000 54372165923670400000 55416111509404871680 56547052560617216000 58554640225491200000 60896825834510848000 61848338738175080000 66605903256496240000 67646620494878993750 69270139386756089600 70683815700771520000 76121032293138560000 77310423422718850000 79165873584864102400 81976496315687680000 83257379070620300000 85255556168315187200 86587674233445112000 88354769625964400000 95151290366423200000 98957341981080128000 102470620394609600000 106569445210393984000 108234592791806390000 108744331847340800000 110832223018809743360 113094105121234432000 117109280450982400000 123696677476350160000 133211806512992480000 135293240989757987500 138540278773512179200 141367631401543040000 152242064586277120000 154620846845437700000 158331747169728204800 163952992631375360000 166514758141240600000 173175348466890224000 176709539251928800000 190302580732846400000 197914683962160256000 204941240789219200000 213138890420787968000 216469185583612780000 217488663694681600000 221664446037619486720 247393354952700320000 266423613025984960000 270586481979515975000 277080557547024358400 282735262803086080000 304484129172554240000 309241693690875400000 333029516282481200000 346350696933780448000 353419078503857600000 380605161465692800000 395829367924320512000 409882481578438400000 426277780841575936000 432938371167225560000 494786709905400640000 532847226051969920000 541172963959031950000 554161115094048716800 565470525606172160000 618483387381750800000 666059032564962400000 692701393867560896000 706838157007715200000 761210322931385600000 791658735848641024000 819764963156876800000 865876742334451120000 989573419810801280000 1065694452103939840000 1082345927918063900000 1108322230188097433600 1236966774763501600000 1332118065129924800000 1385402787735121792000 1413676314015430400000 1522420645862771200000 1731753484668902240000 1979146839621602560000 2131388904207879680000 2164691855836127800000 2473933549527003200000 2664236130259849600000 2770805575470243584000 2827352628030860800000 3463506969337804480000 3958293679243205120000 4329383711672255600000 4947867099054006400000 5328472260519699200000 5541611150940487168000 6927013938675608960000 8658767423344511200000 9895734198108012800000 10656944521039398400000 13854027877351217920000 17317534846689022400000 19791468396216025600000 27708055754702435840000 34635069693378044800000 69270139386756089600000 138540278773512179200000
- Sum of all divisors σ(n): 436192720211780311918320
- Sum of proper divisors (its aliquot sum) s(n): 297652441438268132718320
- 138540278773512179200000 is an abundant number, because the sum of its proper divisors (297652441438268132718320) is greater than itself. Its abundance is 159112162664755953518320
Bases of 138540278773512179200000
- Binary: 111010101011001001000100101110111011010100111010111110110101010110000000000002
- Hexadecimal: 0x1D56489776A75F6AB000
- Base-36: MK5W373XGF8AY9S
Squares and roots of 138540278773512179200000
- 138540278773512179200000 squared (1385402787735121792000002) is 19193408842642469283828726570732912640000000000
- 138540278773512179200000 cubed (1385402787735121792000003) is 2659060211673681449337018985698745990183872117329625088000000000000000
-
The
square root of 138540278773512179200000 is 372209992844.7813438689 -
The
cube root of 138540278773512179200000 is 51743843.6232187925
Scales and comparisons
How big is 138540278773512179200000?- 138,540,278,773,512,179,200,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,540,278,773,512,179,200,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 138540278773512179200000 cubic inches would be around 4311987 feet tall.
Recreational maths with 138540278773512179200000
- 138540278773512179200000 backwards is 000002971215377872045831
- The number of decimal digits it has is: 24
- The sum of 138540278773512179200000's digits is 82
- 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 138540278773512179200000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138540278773512179200000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138540278773512179200000/
Chicago style:
Numbermatics. 2024. "Number 138540278773512179200000 - Facts about the integer". https://numbermatics.com/n/138540278773512179200000/
The information we have on file for 138540278773512179200000 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 138540278773512179200000, math, Factors of 138540278773512179200000, curriculum, school, college, exams, university, Prime factorization of 138540278773512179200000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight sextillion, five hundred forty quintillion, two hundred seventy-eight quadrillion, seven hundred seventy-three trillion, five hundred twelve billion, one hundred seventy-nine million, two hundred thousand.