137639029623887232000
137,639,029,623,887,232,000 is an even composite number composed of six prime numbers multiplied together.
137639029623887232000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 137639029623887232000:
210 × 32 × 53 × 7 × 23 × 742101393331
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 23 × 742101393331)See below for interesting mathematical facts about the number 137639029623887232000 from the Numbermatics database.
Names of 137639029623887232000
- Cardinal: 137639029623887232000 can be written as One hundred thirty-seven quintillion, six hundred thirty-nine quadrillion, twenty-nine trillion, six hundred twenty-three billion, eight hundred eighty-seven million, two hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.37639029623887232 × 1020
Factors of 137639029623887232000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 742101393371
Divisors of 137639029623887232000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 28 30 32 35 36 40 42 45 46 48 50 56 60 63 64 69 70 72 75 80 84 90 92 96 100 105 112 115 120 125 126 128 138 140 144 150 160 161 168 175 180 184 192 200 207 210 224 225 230 240 250 252 256 276 280 288 300 315 320 322 336 345 350 360 368 375 384 400 414 420 448 450 460 480 483 500 504 512 525 552 560 575 576 600 630 640 644 672 690 700 720 736 750 768 800 805 828 840 875 896 900 920 960 966 1000 1008 1024 1035 1050 1104 1120 1125 1150 1152 1200 1260 1280 1288 1344 1380 1400 1440 1449 1472 1500 1536 1575 1600 1610 1656 1680 1725 1750 1792 1800 1840 1920 1932 2000 2016 2070 2100 2208 2240 2250 2300 2304 2400 2415 2520 2560 2576 2625 2688 2760 2800 2875 2880 2898 2944 3000 3072 3150 3200 3220 3312 3360 3450 3500 3584 3600 3680 3840 3864 4000 4025 4032 4140 4200 4416 4480 4500 4600 4608 4800 4830 5040 5120 5152 5175 5250 5376 5520 5600 5750 5760 5796 5888 6000 6300 6400 6440 6624 6720 6900 7000 7168 7200 7245 7360 7680 7728 7875 8000 8050 8064 8280 8400 8625 8832 8960 9000 9200 9216 9600 9660 10080 10304 10350 10500 10752 11040 11200 11500 11520 11592 11776 12000 12075 12600 12800 12880 13248 13440 13800 14000 14400 14490 14720 15360 15456 15750 16000 16100 16128 16560 16800 17250 17664 17920 18000 18400 19200 19320 20125 20160 20608 20700 21000 21504 22080 22400 23000 23040 23184 23552 24000 24150 25200 25600 25760 25875 26496 26880 27600 28000 28800 28980 29440 30912 31500 32000 32200 32256 33120 33600 34500 35328 35840 36000 36225 36800 38400 38640 40250 40320 41216 41400 42000 44160 44800 46000 46080 46368 48000 48300 50400 51520 51750 52992 53760 55200 56000 57600 57960 58880 60375 61824 63000 64000 64400 64512 66240 67200 69000 70656 72000 72450 73600 76800 77280 80500 80640 82432 82800 84000 88320 89600 92000 92736 96000 96600 100800 103040 103500 105984 107520 110400 112000 115200 115920 117760 120750 123648 126000 128000 128800 132480 134400 138000 144000 144900 147200 154560 161000 161280 164864 165600 168000 176640 179200 181125 184000 185472 192000 193200 201600 206080 207000 211968 220800 224000 230400 231840 241500 247296 252000 257600 264960 268800 276000 288000 289800 294400 309120 322000 322560 331200 336000 353280 362250 368000 370944 384000 386400 403200 412160 414000 441600 448000 463680 483000 494592 504000 515200 529920 537600 552000 576000 579600 588800 618240 644000 662400 672000 724500 736000 741888 772800 806400 824320 828000 883200 896000 927360 966000 1008000 1030400 1059840 1104000 1152000 1159200 1236480 1288000 1324800 1344000 1449000 1472000 1483776 1545600 1612800 1656000 1766400 1854720 1932000 2016000 2060800 2208000 2318400 2472960 2576000 2649600 2688000 2898000 2944000 3091200 3312000 3709440 3864000 4032000 4121600 4416000 4636800 5152000 5299200 5796000 6182400 6624000 7418880 7728000 8064000 8832000 9273600 10304000 11592000 12364800 13248000 15456000 18547200 20608000 23184000 26496000 30912000 37094400 46368000 61824000 92736000 185472000 742101393331 1484202786662 2226304179993 2968405573324 3710506966655 4452608359986 5194709753317 5936811146648 6678912539979 7421013933310 8905216719972 10389419506634 11131520899965 11873622293296 13357825079958 14842027866620 15584129259951 17068332046613 17810433439944 18552534833275 20778839013268 22263041799930 23747244586592 25973548766585 26715650159916 29684055733240 31168258519902 33394562699895 34136664093226 35620866879888 37105069666550 41557678026536 44526083599860 46752387779853 47494489173184 51204996139839 51947097533170 53431300319832 55657604499825 59368111466480 62336517039804 66789125399790 68273328186452 71241733759776 74210139333100 77920646299755 83115356053072 85341660233065 89052167199720 92762674166375 93504775559706 94988978346368 102409992279678 103894195066340 106862600639664 111315208999650 118736222932960 119478324326291 124673034079608 129867743832925 133578250799580 136546656372904 142483467519552 148420278666200 153614988419517 155841292599510 166230712106144 166972813499475 170683320466130 178104334399440 185525348332750 187009551119412 189977956692736 204819984559356 207788390132680 213725201279328 222630417999300 233761938899265 237472445865920 238956648652582 249346068159216 256024980699195 259735487665850 267156501599160 273093312745808 278288022499125 284966935039104 296840557332400 307229976839034 311682585199020 332461424212288 333945626998950 341366640932260 356208668798880 358434972978873 371050696665500 374019102238824 379955913385472 389603231498775 409639969118712 415576780265360 426708301165325 427450402558656 445260835998600 467523877798530 474944891731840 477913297305164 498692136318432 512049961398390 519470975331700 534313003198320 546186625491616 556576044998250 569933870078208 593681114664800 597391621631455 614459953678068 623365170398040 649338719164625 664922848424576 667891253997900 682733281864520 712417337597760 716869945957746 742101393331000 748038204477648 759911826770944 768074942097585 779206462997550 819279938237424 831153560530720 834864067497375 853416602330650 854900805117312 890521671997200 935047755597060 949889783463680 955826594610328 997384272636864 1024099922796780 1038941950663400 1068626006396640 1075304918936619 1092373250983232 1113152089996500 1139867740156416 1168809694496325 1187362229329600 1194783243262910 1228919907356136 1246730340796080 1280124903495975 1298677438329250 1329845696849152 1335782507995800 1365466563729040 1424834675195520 1433739891915492 1484202786662000 1496076408955296 1536149884195170 1558412925995100 1638559876474848 1662307121061440 1669728134994750 1706833204661300 1709801610234624 1781043343994400 1792174864894365 1870095511194120 1899779566927360 1911653189220656 1948016157493875 1994768545273728 2048199845593560 2077883901326800 2133541505826625 2137252012793280 2150609837873238 2184746501966464 2226304179993000 2279735480312832 2337619388992650 2374724458659200 2389566486525820 2457839814712272 2493460681592160 2560249806991950 2597354876658500 2659691393698304 2671565015991600 2730933127458080 2849669350391040 2867479783830984 2968405573324000 2986958108157275 2992152817910592 3072299768390340 3116825851990200 3277119752949696 3324614242122880 3339456269989500 3413666409322600 3419603220469248 3562086687988800 3584349729788730 3740191022388240 3799559133854720 3823306378441312 3840374710487925 3896032314987750 3989537090547456 4096399691187120 4155767802653600 4267083011653250 4274504025586560 4301219675746476 4369493003932928 4452608359986000 4675238777985300 4749448917318400 4779132973051640 4915679629424544 4986921363184320 5120499613983900 5194709753317000 5319382787396608 5343130031983200 5376524594683095 5461866254916160 5699338700782080 5734959567661968 5844048472481625 5936811146648000 5973916216314550 5984305635821184 6144599536780680 6233651703980400 6400624517479875 6554239505899392 6649228484245760 6678912539979000 6827332818645200 6839206440938496 7124173375977600 7168699459577460 7480382044776480 7646612756882624 7680749420975850 7792064629975500 7979074181094912 8192799382374240 8311535605307200 8534166023306500 8549008051173120 8602439351492952 8738986007865856 8905216719972000 8960874324471825 9350477555970600 9498897834636800 9558265946103280 9831359258849088 9973842726368640 10240999227967800 10389419506634000 10686260063966400 10753049189366190 10923732509832320 11398677401564160 11469919135323936 11688096944963250 11873622293296000 11947832432629100 11968611271642368 12289199073561360 12467303407960800 12801249034959750 13108479011798784 13298456968491520 13357825079958000 13654665637290400 14248346751955200 14337398919154920 14934790540786375 14960764089552960 15293225513765248 15361498841951700 15584129259951000 15958148362189824 16385598764748480 16623071210614400 17068332046613000 17098016102346240 17204878702985904 17477972015731712 17810433439944000 17921748648943650 18700955111941200 18997795669273600 19116531892206560 19201873552439625 19662718517698176 19947685452737280 20481998455935600 20778839013268000 21372520127932800 21506098378732380 21847465019664640 22939838270647872 23376193889926500 23747244586592000 23895664865258200 23937222543284736 24578398147122720 24934606815921600 25602498069919500 26216958023597568 26596913936983040 26715650159916000 26882622973415475 27309331274580800 28496693503910400 28674797838309840 29869581081572750 29921528179105920 30586451027530496 30722997683903400 31168258519902000 32771197529496960 33246142421228800 34136664093226000 34196032204692480 34409757405971808 35620866879888000 35843497297887300 37401910223882400 38233063784413120 38403747104879250 39325437035396352 39895370905474560 40963996911871200 41557678026536000 42745040255865600 43012196757464760 43694930039329280 44804371622359125 45879676541295744 46752387779853000 47494489173184000 47791329730516400 47874445086569472 49156796294245440 49869213631843200 51204996139839000 52433916047195136 53431300319832000 53765245946830950 54618662549161600 56993387007820800 57349595676619680 59739162163145500 59843056358211840 61172902055060992 61445995367806800 62336517039804000 65542395058993920 66492284842457600 68273328186452000 68819514811943616 71241733759776000 71686994595774600 74803820447764800 76466127568826240 76807494209758500 78650874070792704 79790741810949120 81927993823742400 83115356053072000 85490080511731200 86024393514929520 87389860078658560 89608743244718250 91759353082591488 93504775559706000 94988978346368000 95582659461032800 98313592588490880 99738427263686400 102409992279678000 106862600639664000 107530491893661900 109237325098323200 114699191353239360 119478324326291000 119686112716423680 122345804110121984 122891990735613600 124673034079608000 131084790117987840 132984569684915200 134413114867077375 136546656372904000 137639029623887232 142483467519552000 143373989191549200 149607640895529600 152932255137652480 153614988419517000 157301748141585408 163855987647484800 166230712106144000 170980161023462400 172048787029859040 179217486489436500 183518706165182976 187009551119412000 191165318922065600 196627185176981760 199476854527372800 204819984559356000 213725201279328000 215060983787323800 218474650196646400 229398382706478720 238956648652582000 239372225432847360 245783981471227200 249346068159216000 262169580235975680 268826229734154750 273093312745808000 275278059247774464 284966935039104000 286747978383098400 299215281791059200 305864510275304960 307229976839034000 327711975294969600 332461424212288000 344097574059718080 358434972978873000 367037412330365952 374019102238824000 382330637844131200 393254370353963520 398953709054745600 409639969118712000 427450402558656000 430121967574647600 436949300393292800 458796765412957440 477913297305164000 491567962942454400 498692136318432000 537652459468309500 546186625491616000 550556118495548928 573495956766196800 598430563582118400 611729020550609920 614459953678068000 655423950589939200 664922848424576000 688195148119436160 716869945957746000 748038204477648000 764661275688262400 786508740707927040 819279938237424000 854900805117312000 860243935149295200 917593530825914880 955826594610328000 983135925884908800 997384272636864000 1075304918936619000 1092373250983232000 1101112236991097856 1146991913532393600 1196861127164236800 1228919907356136000 1310847901179878400 1376390296238872320 1433739891915492000 1496076408955296000 1529322551376524800 1638559876474848000 1720487870298590400 1835187061651829760 1911653189220656000 1966271851769817600 1994768545273728000 2150609837873238000 2184746501966464000 2293983827064787200 2457839814712272000 2752780592477744640 2867479783830984000 2992152817910592000 3058645102753049600 3277119752949696000 3440975740597180800 3823306378441312000 3932543703539635200 4301219675746476000 4587967654129574400 4915679629424544000 5505561184955489280 5734959567661968000 5984305635821184000 6554239505899392000 6881951481194361600 7646612756882624000 8602439351492952000 9175935308259148800 9831359258849088000 11469919135323936000 13763902962388723200 15293225513765248000 17204878702985904000 19662718517698176000 22939838270647872000 27527805924777446400 34409757405971808000 45879676541295744000 68819514811943616000 137639029623887232000
- Sum of all divisors σ(n): 591493898450193583104
- Sum of proper divisors (its aliquot sum) s(n): 453854868826306351104
- 137639029623887232000 is an abundant number, because the sum of its proper divisors (453854868826306351104) is greater than itself. Its abundance is 316215839202419119104
Bases of 137639029623887232000
- Binary: 11101110110001000000001000000110011001110010100001111111100000000002
- Hexadecimal: 0x7762010333943FC00
- Base-36: T1PSZYU6KXZ40
Squares and roots of 137639029623887232000
- 137639029623887232000 squared (1376390296238872320002) is 18944502475805307025190734252621824000000
- 137639029623887232000 cubed (1376390296238872320003) is 2607502937477171663241451173184310024484714518151168000000000
-
The
square root of 137639029623887232000 is 11731966144.8491757911 -
The
cube root of 137639029623887232000 is 5163139.5975483943
Scales and comparisons
How big is 137639029623887232000?- 137,639,029,623,887,232,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,639,029,623,887,232,000 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 137639029623887232000 cubic inches would be around 430261.6 feet tall.
Recreational maths with 137639029623887232000
- 137639029623887232000 backwards is 000232788326920936731
- The number of decimal digits it has is: 21
- The sum of 137639029623887232000's digits is 81
- More coming soon!
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The information we have on file for 137639029623887232000 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 137639029623887232000, math, Factors of 137639029623887232000, curriculum, school, college, exams, university, Prime factorization of 137639029623887232000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, six hundred thirty-nine quadrillion, twenty-nine trillion, six hundred twenty-three billion, eight hundred eighty-seven million, two hundred thirty-two thousand.