138109472261857036800
138,109,472,261,857,036,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138109472261857036800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 720 divisors.
138109472261857036800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138109472261857036800:
29 × 33 × 52 × 23 × 41683192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 23 × 4168319 × 4168319)See below for interesting mathematical facts about the number 138109472261857036800 from the Numbermatics database.
Names of 138109472261857036800
- Cardinal: 138109472261857036800 can be written as One hundred thirty-eight quintillion, one hundred nine quadrillion, four hundred seventy-two trillion, two hundred sixty-one billion, eight hundred fifty-seven million, thirty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381094722618570368 × 1020
Factors of 138109472261857036800
Divisors of 138109472261857036800
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 54 60 64 69 72 75 80 90 92 96 100 108 115 120 128 135 138 144 150 160 180 184 192 200 207 216 225 230 240 256 270 276 288 300 320 345 360 368 384 400 414 432 450 460 480 512 540 552 575 576 600 621 640 675 690 720 736 768 800 828 864 900 920 960 1035 1080 1104 1150 1152 1200 1242 1280 1350 1380 1440 1472 1536 1600 1656 1725 1728 1800 1840 1920 2070 2160 2208 2300 2304 2400 2484 2560 2700 2760 2880 2944 3105 3200 3312 3450 3456 3600 3680 3840 4140 4320 4416 4600 4608 4800 4968 5175 5400 5520 5760 5888 6210 6400 6624 6900 6912 7200 7360 7680 8280 8640 8832 9200 9600 9936 10350 10800 11040 11520 11776 12420 12800 13248 13800 13824 14400 14720 15525 16560 17280 17664 18400 19200 19872 20700 21600 22080 23040 24840 26496 27600 28800 29440 31050 33120 34560 35328 36800 38400 39744 41400 43200 44160 49680 52992 55200 57600 58880 62100 66240 69120 73600 79488 82800 86400 88320 99360 105984 110400 115200 124200 132480 147200 158976 165600 172800 176640 198720 220800 248400 264960 294400 317952 331200 345600 397440 441600 496800 529920 662400 794880 883200 993600 1324800 1589760 1987200 2649600 3974400 4168319 7948800 8336638 12504957 16673276 20841595 25009914 33346552 37514871 41683190 50019828 62524785 66693104 75029742 83366380 95871337 100039656 104207975 112544613 125049570 133386208 150059484 166732760 187574355 191742674 200079312 208415950 225089226 250099140 266772416 287614011 300118968 312623925 333465520 375148710 383485348 400158624 416831900 450178452 479356685 500198280 533544832 562723065 575228022 600237936 625247850 666931040 750297420 766970696 800317248 833663800 862842033 900356904 937871775 958713370 1000396560 1067089664 1125446130 1150456044 1200475872 1250495700 1333862080 1438070055 1500594840 1533941392 1600634496 1667327600 1725684066 1800713808 1875743550 1917426740 2000793120 2134179328 2250892260 2300912088 2396783425 2400951744 2500991400 2588526099 2667724160 2813615325 2876140110 3001189680 3067882784 3201268992 3334655200 3451368132 3601427616 3751487100 3834853480 4001586240 4314210165 4501784520 4601824176 4793566850 4801903488 5001982800 5177052198 5335448320 5627230650 5752280220 6002379360 6135765568 6402537984 6669310400 6902736264 7190350275 7202855232 7502974200 7669706960 8003172480 8628420330 9003569040 9203648352 9587133700 9603806976 10003965600 10354104396 10670896640 11254461300 11504560440 12004758720 12271531136 12942630495 13338620800 13805472528 14380700550 14405710464 15005948400 15339413920 16006344960 17256840660 18007138080 18407296704 19174267400 19207613952 20007931200 20708208792 21571050825 22508922600 23009120880 24009517440 24543062272 25885260990 26677241600 27610945056 28761401100 28811420928 30011896800 30678827840 32012689920 34513681320 36014276160 36814593408 38348534800 40015862400 41416417584 43142101650 45017845200 46018241760 48019034880 49086124544 51770521980 53354483200 55221890112 57522802200 57622841856 60023793600 61357655680 64713152475 69027362640 72028552320 73629186816 76697069600 80031724800 82832835168 86284203300 90035690400 92036483520 96038069760 103541043960 110443780224 115045604400 120047587200 122715311360 129426304950 138054725280 144057104640 147258373632 153394139200 160063449600 165665670336 172568406600 180071380800 184072967040 207082087920 220887560448 230091208800 240095174400 245430622720 258852609900 276109450560 288114209280 306788278400 331331340672 345136813200 360142761600 368145934080 414164175840 441775120896 460182417600 480190348800 517705219800 552218901120 613576556800 662662681344 690273626400 720285523200 736291868160 828328351680 920364835200 1035410439600 1104437802240 1227153113600 1325325362688 1380547252800 1440571046400 1656656703360 1840729670400 2070820879200 2208875604480 2761094505600 3313313406720 3681459340800 4141641758400 5522189011200 6626626813440 8283283516800 11044378022400 16566567033600 17374883285761 33133134067200 34749766571522 52124649857283 69499533143044 86874416428805 104249299714566 138999066286088 156373949571849 173748832857610 208498599429132 260623249286415 277998132572176 312747899143698 347497665715220 399622315572503 416997198858264 434372082144025 469121848715547 521246498572830 555996265144352 625495798287396 694995331430440 781869747859245 799244631145006 833994397716528 868744164288050 938243697431094 1042492997145660 1111992530288704 1198866946717509 1250991596574792 1303116246432075 1389990662860880 1563739495718490 1598489262290012 1667988795433056 1737488328576100 1876487394862188 1998111577862515 2084985994291320 2223985060577408 2345609243577735 2397733893435018 2501983193149584 2606232492864150 2779981325721760 3127478991436980 3196978524580024 3335977590866112 3474976657152200 3596600840152527 3752974789724376 3909348739296225 3996223155725030 4169971988582640 4447970121154816 4691218487155470 4795467786870036 5003966386299168 5212464985728300 5559962651443520 5994334733587545 6254957982873960 6393957049160048 6671955181732224 6949953314304400 7193201680305054 7505949579448752 7818697478592450 7992446311450060 8339943977165280 8895940242309632 9382436974310940 9590935573740072 9990557889312575 10007932772598336 10424929971456600 10789802520457581 11119925302887040 11728046217888675 11988669467175090 12509915965747920 12787914098320096 13343910363464448 13899906628608800 14386403360610108 15011899158897504 15637394957184900 15984892622900120 16679887954330560 17983004200762635 18764873948621880 19181871147480144 19981115778625150 20015865545196672 20849859942913200 21579605040915162 22239850605774080 23456092435777350 23977338934350180 25019831931495840 25575828196640192 26687820726928896 27799813257217600 28772806721220216 29971673667937725 30023798317795008 31274789914369800 31969785245800240 33359775908661120 35966008401525270 37529747897243760 38363742294960288 39962231557250300 40031731090393344 41699719885826400 43159210081830324 44479701211548160 46912184871554700 47954677868700360 50039663862991680 51151656393280384 53949012602287905 55599626514435200 57545613442440432 59943347335875450 60047596635590016 62549579828739600 63939570491600480 66719551817322240 71932016803050540 75059495794487520 76727484589920576 79924463114500600 80063462180786688 83399439771652800 86318420163660648 89915021003813175 93824369743109400 95909355737400720 100079327725983360 102303312786560768 107898025204575810 111199253028870400 115091226884880864 119886694671750900 120095193271180032 125099159657479200 127879140983200960 133439103634644480 143864033606101080 150118991588975040 153454969179841152 159848926229001200 166798879543305600 172636840327321296 179830042007626350 187648739486218800 191818711474801440 200158655451966720 204606625573121536 215796050409151620 222398506057740800 230182453769761728 239773389343501800 240190386542360064 250198319314958400 255758281966401920 269745063011439525 287728067212202160 300237983177950080 306909938359682304 319697852458002400 333597759086611200 345273680654642592 359660084015252700 375297478972437600 383637422949602880 400317310903933440 431592100818303240 460364907539523456 479546778687003600 500396638629916800 511516563932803840 539490126022879050 575456134424404320 600475966355900160 613819876719364608 639395704916004800 667195518173222400 690547361309285184 719320168030505400 750594957944875200 767274845899205760 863184201636606480 920729815079046912 959093557374007200 1000793277259833600 1023033127865607680 1078980252045758100 1150912268848808640 1200951932711800320 1278791409832009600 1381094722618570368 1438640336061010800 1501189915889750400 1534549691798411520 1726368403273212960 1841459630158093824 1918187114748014400 2001586554519667200 2157960504091516200 2301824537697617280 2557582819664019200 2762189445237140736 2877280672122021600 3002379831779500800 3069099383596823040 3452736806546425920 3836374229496028800 4315921008183032400 4603649075395234560 5115165639328038400 5524378890474281472 5754561344244043200 6004759663559001600 6905473613092851840 7672748458992057600 8631842016366064800 9207298150790469120 11509122688488086400 13810947226185703680 15345496917984115200 17263684032732129600 23018245376976172800 27621894452371407360 34527368065464259200 46036490753952345600 69054736130928518400 138109472261857036800
- Sum of all divisors σ(n): 528969413598019922880
- Sum of proper divisors (its aliquot sum) s(n): 390859941336162886080
- 138109472261857036800 is an abundant number, because the sum of its proper divisors (390859941336162886080) is greater than itself. Its abundance is 252750469074305849280
Bases of 138109472261857036800
- Binary: 11101111100101001110110100101001001011011001010011101001010000000002
- Hexadecimal: 0x77CA769496CA74A00
- Base-36: T5AH5YQIN79C0
Squares and roots of 138109472261857036800
- 138109472261857036800 squared (1381094722618570368002) is 19074226328448658252434246921676554240000
- 138109472261857036800 cubed (1381094722618570368003) is 2634331332025263155972245747988672546615505461320876032000000
-
The
square root of 138109472261857036800 is 11751998649.6704906999 -
The
cube root of 138109472261857036800 is 5169015.3507419167
Scales and comparisons
How big is 138109472261857036800?- 138,109,472,261,857,036,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,109,472,261,857,036,800 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 138109472261857036800 cubic inches would be around 430751.3 feet tall.
Recreational maths with 138109472261857036800
- 138109472261857036800 backwards is 008630758162274901831
- The number of decimal digits it has is: 21
- The sum of 138109472261857036800's digits is 81
- 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 138109472261857036800 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
APA style:
Numbermatics. (2024). Number 138109472261857036800 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138109472261857036800/
Chicago style:
Numbermatics. 2024. "Number 138109472261857036800 - Facts about the integer". https://numbermatics.com/n/138109472261857036800/
The information we have on file for 138109472261857036800 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 138109472261857036800, math, Factors of 138109472261857036800, curriculum, school, college, exams, university, Prime factorization of 138109472261857036800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred nine quadrillion, four hundred seventy-two trillion, two hundred sixty-one billion, eight hundred fifty-seven million, thirty-six thousand, eight hundred.