138729331003647590400
138,729,331,003,647,590,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138729331003647590400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2232 divisors.
138729331003647590400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred thirty-two divisors.
Prime factorization of 138729331003647590400:
230 × 3 × 52 × 292 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 29 × 127 × 127 × 127)See below for interesting mathematical facts about the number 138729331003647590400 from the Numbermatics database.
Names of 138729331003647590400
- Cardinal: 138729331003647590400 can be written as One hundred thirty-eight quintillion, seven hundred twenty-nine quadrillion, three hundred thirty-one trillion, three billion, six hundred forty-seven million, five hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.387293310036475904 × 1020
Factors of 138729331003647590400
Divisors of 138729331003647590400
- Number of divisors d(n): 2232
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 64 75 80 87 96 100 116 120 127 128 145 150 160 174 192 200 232 240 254 256 290 300 320 348 381 384 400 435 464 480 508 512 580 600 635 640 696 725 762 768 800 841 870 928 960 1016 1024 1160 1200 1270 1280 1392 1450 1524 1536 1600 1682 1740 1856 1905 1920 2032 2048 2175 2320 2400 2523 2540 2560 2784 2900 3048 3072 3175 3200 3364 3480 3683 3712 3810 3840 4064 4096 4205 4350 4640 4800 5046 5080 5120 5568 5800 6096 6144 6350 6400 6728 6960 7366 7424 7620 7680 8128 8192 8410 8700 9280 9525 9600 10092 10160 10240 11049 11136 11600 12192 12288 12615 12700 12800 13456 13920 14732 14848 15240 15360 16129 16256 16384 16820 17400 18415 18560 19050 19200 20184 20320 20480 21025 22098 22272 23200 24384 24576 25230 25400 25600 26912 27840 29464 29696 30480 30720 32258 32512 32768 33640 34800 36830 37120 38100 38400 40368 40640 40960 42050 44196 44544 46400 48387 48768 49152 50460 50800 51200 53824 55245 55680 58928 59392 60960 61440 63075 64516 65024 65536 67280 69600 73660 74240 76200 76800 80645 80736 81280 81920 84100 88392 89088 92075 92800 96774 97536 98304 100920 101600 102400 106807 107648 110490 111360 117856 118784 121920 122880 126150 129032 130048 131072 134560 139200 147320 148480 152400 153600 161290 161472 162560 163840 168200 176784 178176 184150 185600 193548 195072 196608 201840 203200 204800 213614 215296 220980 222720 235712 237568 241935 243840 245760 252300 258064 260096 262144 269120 276225 278400 294640 296960 304800 307200 320421 322580 322944 325120 327680 336400 353568 356352 368300 371200 387096 390144 393216 403225 403680 406400 409600 427228 430592 441960 445440 467741 471424 475136 483870 487680 491520 504600 516128 520192 524288 534035 538240 552450 556800 589280 593920 609600 614400 640842 645160 645888 650240 655360 672800 707136 712704 736600 742400 774192 780288 786432 806450 807360 812800 819200 854456 861184 883920 890880 935482 942848 950272 967740 975360 983040 1009200 1032256 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58395630305280 58855438417920 59318867066880 62288672325632 62779134312448 64436557578240 64943932047360 66151299955200 66672176332800 67197154099200 67726265548800 68732328083456 70561386618880 71116988088320 71676964372480 72994537881600 73569298022400 74148583833600 77860840407040 78473917890560 80545696972800 81179915059200 84673663942656 85340385705984 85915410104320 86012357246976 86591909396480 88201733273600 88896235110400 89596205465600 93433008488448 94168701468672 97326050508800 98092397363200 98864778444800 103098492125184 105842079928320 106675482132480 107394262630400 107515446558720 108239886745600 112898218590208 113787180941312 114683142995968 116791260610560 117710876835840 124577344651264 125558268624896 128873115156480 129887864094720 132302599910400 133344352665600 134394308198400 137464656166912 141122773237760 142233976176640 143353928744960 145989075763200 147138596044800 148297167667200 155721680814080 156947835781120 161091393945600 162359830118400 169347327885312 170680771411968 171830820208640 172024714493952 176403466547200 177792470220800 179192410931200 186866016976896 188337402937344 194652101017600 196184794726400 206196984250368 211684159856640 213350964264960 214788525260800 215030893117440 216479773491200 225796437180416 227574361882624 233582521221120 235421753671680 249154689302528 251116537249792 257746230312960 259775728189440 264605199820800 266688705331200 268788616396800 274929312333824 282245546475520 284467952353280 286707857489920 291978151526400 294277192089600 296594335334400 311443361628160 313895671562240 322182787891200 324719660236800 338694655770624 341361542823936 343661640417280 344049428987904 352806933094400 355584940441600 358384821862400 373732033953792 376674805874688 389304202035200 392369589452800 412393968500736 423368319713280 426701928529920 429577050521600 430061786234880 432959546982400 451592874360832 455148723765248 467165042442240 470843507343360 498309378605056 502233074499584 515492460625920 529210399641600 533377410662400 537577232793600 549858624667648 564491092951040 568935904706560 573415714979840 583956303052800 588554384179200 622886723256320 627791343124480 644365575782400 649439320473600 677389311541248 682723085647872 687323280834560 705613866188800 711169880883200 716769643724800 747464067907584 753349611749376 778608404070400 784739178905600 824787937001472 846736639426560 853403857059840 859154101043200 860123572469760 903185748721664 910297447530496 934330084884480 941687014686720 996618757210112 1030984921251840 1058420799283200 1066754821324800 1075154465587200 1099717249335296 1128982185902080 1137871809413120 1167912606105600 1177108768358400 1245773446512640 1255582686248960 1288731151564800 1298878640947200 1354778623082496 1365446171295744 1374646561669120 1411227732377600 1422339761766400 1433539287449600 1494928135815168 1506699223498752 1557216808140800 1569478357811200 1649575874002944 1693473278853120 1706807714119680 1718308202086400 1720247144939520 1806371497443328 1820594895060992 1868660169768960 1883374029373440 1993237514420224 2061969842503680 2116841598566400 2133509642649600 2150308931174400 2199434498670592 2257964371804160 2275743618826240 2335825212211200 2354217536716800 2491546893025280 2511165372497920 2577462303129600 2709557246164992 2730892342591488 2749293123338240 2822455464755200 2844679523532800 2867078574899200 2989856271630336 3114433616281600 3138956715622400 3299151748005888 3386946557706240 3413615428239360 3436616404172800 3612742994886656 3641189790121984 3737320339537920 3766748058746880 3986475028840448 4123939685007360 4233683197132800 4267019285299200 4300617862348800 4515928743608320 4551487237652480 4671650424422400 4708435073433600 4983093786050560 5154924606259200 5419114492329984 5461784685182976 5498586246676480 5644910929510400 5689359047065600 5979712543260672 6228867232563200 6277913431244800 6598303496011776 6773893115412480 6827230856478720 6873232808345600 7225485989773312 7282379580243968 7474640679075840 7533496117493760 7972950057680896 8247879370014720 8467366394265600 8534038570598400 8601235724697600 9031857487216640 9102974475304960 9343300848844800 9416870146867200 9966187572101120 10309849212518400 10838228984659968 10923569370365952 10997172493352960 11289821859020800 11378718094131200 11959425086521344 12457734465126400 12555826862489600 13547786230824960 13654461712957440 13746465616691200 14450971979546624 14564759160487936 14949281358151680 15945900115361792 16495758740029440 16934732788531200 17068077141196800 18063714974433280 18205948950609920 18686601697689600 18833740293734400 19932375144202240 20619698425036800 21676457969319936 21847138740731904 22579643718041600 22757436188262400 23918850173042688 24915468930252800 27095572461649920 27308923425914880 27492931233382400 28901943959093248 29898562716303360 31891800230723584 32991517480058880 33869465577062400 34136154282393600 36127429948866560 36411897901219840 37373203395379200 37667480587468800 39864750288404480 41239396850073600 43352915938639872 43694277481463808 45159287436083200 45514872376524800 47837700346085376 49830937860505600 54191144923299840 54617846851829760 54985862466764800 57803887918186496 59797125432606720 63783600461447168 67738931154124800 68272308564787200 72254859897733120 72823795802439680 74746406790758400 79729500576808960 82478793700147200 86705831877279744 90318574872166400 91029744753049600 95675400692170752 99661875721011200 108382289846599680 109235693703659520 115607775836372992 119594250865213440 135477862308249600 136544617129574400 144509719795466240 149492813581516800 159459001153617920 164957587400294400 173411663754559488 180637149744332800 182059489506099200 191350801384341504 199323751442022400 216764579693199360 218471387407319040 231215551672745984 239188501730426880 270955724616499200 273089234259148800 289019439590932480 298985627163033600 318918002307235840 346823327509118976 361274299488665600 364118979012198400 398647502884044800 433529159386398720 462431103345491968 478377003460853760 541911449232998400 546178468518297600 578038879181864960 597971254326067200 693646655018237952 722548598977331200 797295005768089600 867058318772797440 924862206690983936 956754006921707520 1083822898465996800 1092356937036595200 1156077758363729920 1195942508652134400 1387293310036475904 1445097197954662400 1594590011536179200 1734116637545594880 1849724413381967872 2167645796931993600 2312155516727459840 2391885017304268800 2774586620072951808 2890194395909324800 3468233275091189760 4335291593863987200 4624311033454919680 4783770034608537600 5549173240145903616 5780388791818649600 6936466550182379520 8670583187727974400 9248622066909839360 11560777583637299200 13872933100364759040 17341166375455948800 23121555167274598400 27745866200729518080 34682332750911897600 46243110334549196800 69364665501823795200 138729331003647590400
- Sum of all divisors σ(n): 478866043912292408320
- Sum of proper divisors (its aliquot sum) s(n): 340136712908644817920
- 138729331003647590400 is an abundant number, because the sum of its proper divisors (340136712908644817920) is greater than itself. Its abundance is 201407381904997227520
Bases of 138729331003647590400
- Binary: 11110000101010000011001011110000111010000000000000000000000000000002
- Hexadecimal: 0x78541978740000000
- Base-36: TA00JJTCMUS5C
Squares and roots of 138729331003647590400
- 138729331003647590400 squared (1387293310036475904002) is 19245827280719616551921349715726172160000
- 138729331003647590400 cubed (1387293310036475904003) is 2669960743265982497653786589106201459725750474599563264000000
-
The
square root of 138729331003647590400 is 11778341606.6799315091 -
The
cube root of 138729331003647590400 is 5176736.9495618415
Scales and comparisons
How big is 138729331003647590400?- 138,729,331,003,647,590,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,729,331,003,647,590,400 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 138729331003647590400 cubic inches would be around 431394.7 feet tall.
Recreational maths with 138729331003647590400
- 138729331003647590400 backwards is 004095746300133927831
- 138729331003647590400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138729331003647590400's digits is 75
- More coming soon!
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"Number 138729331003647590400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138729331003647590400 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138729331003647590400/
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Numbermatics. 2024. "Number 138729331003647590400 - Facts about the integer". https://numbermatics.com/n/138729331003647590400/
The information we have on file for 138729331003647590400 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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