138474106479450000
138,474,106,479,450,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138474106479450000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138474106479450000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138474106479450000:
24 × 33 × 55 × 73 × 172932
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 17293 × 17293)See below for interesting mathematical facts about the number 138474106479450000 from the Numbermatics database.
Names of 138474106479450000
- Cardinal: 138474106479450000 can be written as One hundred thirty-eight quadrillion, four hundred seventy-four trillion, one hundred six billion, four hundred seventy-nine million, four hundred fifty thousand.
Scientific notation
- Scientific notation: 1.3847410647945 × 1017
Factors of 138474106479450000
Divisors of 138474106479450000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 35 36 40 42 45 48 49 50 54 56 60 63 70 72 75 80 84 90 98 100 105 108 112 120 125 126 135 140 144 147 150 168 175 180 189 196 200 210 216 225 240 245 250 252 270 280 294 300 315 336 343 350 360 375 378 392 400 420 432 441 450 490 500 504 525 540 560 588 600 625 630 675 686 700 720 735 750 756 784 840 875 882 900 945 980 1000 1008 1029 1050 1080 1125 1176 1200 1225 1250 1260 1323 1350 1372 1400 1470 1500 1512 1575 1680 1715 1750 1764 1800 1875 1890 1960 2000 2058 2100 2160 2205 2250 2352 2450 2500 2520 2625 2646 2700 2744 2800 2940 3000 3024 3087 3125 3150 3375 3430 3500 3528 3600 3675 3750 3780 3920 4116 4200 4375 4410 4500 4725 4900 5000 5040 5145 5250 5292 5400 5488 5625 5880 6000 6125 6174 6250 6300 6615 6750 6860 7000 7056 7350 7500 7560 7875 8232 8400 8575 8750 8820 9000 9261 9375 9450 9800 10000 10290 10500 10584 10800 11025 11250 11760 12250 12348 12500 12600 13125 13230 13500 13720 14000 14700 15000 15120 15435 15750 16464 16875 17150 17293 17500 17640 18000 18375 18522 18750 18900 19600 20580 21000 21168 21875 22050 22500 23625 24500 24696 25000 25200 25725 26250 26460 27000 27440 28125 29400 30000 30625 30870 31500 33075 33750 34300 34586 35000 35280 36750 37044 37500 37800 39375 41160 42000 42875 43750 44100 45000 46305 47250 49000 49392 50000 51450 51879 52500 52920 54000 55125 56250 58800 61250 61740 63000 65625 66150 67500 68600 69172 70000 73500 74088 75000 75600 77175 78750 82320 84375 85750 86465 87500 88200 90000 91875 92610 94500 98000 102900 103758 105000 105840 110250 112500 118125 121051 122500 123480 126000 128625 131250 132300 135000 137200 138344 147000 148176 150000 153125 154350 155637 157500 165375 168750 171500 172930 175000 176400 183750 185220 189000 196875 205800 207516 210000 214375 220500 225000 231525 236250 242102 245000 246960 257250 259395 262500 264600 270000 275625 276688 294000 306250 308700 311274 315000 330750 337500 343000 345860 350000 363153 367500 370440 378000 385875 393750 411600 415032 428750 432325 441000 450000 459375 463050 466911 472500 484204 490000 514500 518790 525000 529200 551250 590625 605255 612500 617400 622548 630000 643125 661500 675000 686000 691720 726306 735000 740880 771750 778185 787500 826875 830064 847357 857500 864650 882000 918750 926100 933822 945000 968408 1029000 1037580 1050000 1071875 1089459 1102500 1157625 1181250 1210510 1225000 1234800 1245096 1286250 1296975 1323000 1350000 1378125 1383440 1452612 1470000 1543500 1556370 1575000 1653750 1694714 1715000 1729300 1815765 1837500 1852200 1867644 1890000 1929375 1936816 2058000 2075160 2143750 2161625 2178918 2205000 2315250 2334555 2362500 2421020 2450000 2490192 2542071 2572500 2593950 2646000 2756250 2905224 3026275 3087000 3112740 3150000 3215625 3268377 3307500 3389428 3430000 3458600 3631530 3675000 3704400 3735288 3858750 3890925 4134375 4150320 4236785 4287500 4323250 4357836 4410000 4630500 4669110 4725000 4842040 5084142 5145000 5187900 5447295 5512500 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471000362175 500470228125 502400386320 512867061035 523333735750 527520405636 533834910000 538286128200 560714716875 565200434610 571965975000 586133784040 598095698000 615440473242 628000482900 645943353840 659400507045 667293637500 672857660250 703360540848 732667230050 747619622500 753600579480 785000603625 791280608454 800752365000 807429192300 820587297656 837333977200 879200676060 889724850000 897143547000 904320695376 923160709863 934524528125 942000724350 1000940456250 1009286490375 1025734122070 1046667471500 1055040811272 1076572256400 1099000845075 1121429433750 1130400869220 1143931950000 1172267568080 1230880946484 1256000965800 1308334339375 1318801014090 1334587275000 1345715320500 1413001086525 1465334460100 1495239245000 1507201158960 1538601183105 1570001207250 1582561216908 1601504730000 1614858384600 1641174595312 1682144150625 1758401352120 1794287094000 1831668075125 1846321419726 1869049056250 1884001448700 1978201521135 2001880912500 2018572980750 2051468244140 2093334943000 2110081622544 2198001690150 2242858867500 2260801738440 2355001810875 2461761892968 2512001931600 2564335305175 2616668678750 2637602028180 2669174550000 2691430641000 2769482129589 2803573584375 2826002173050 2930668920200 2990478490000 3077202366210 3140002414500 3165122433816 3229716769200 3297002535225 3364288301250 3516802704240 3663336150250 3692642839452 3738098112500 3768002897400 3925003018125 3956403042270 4003761825000 4037145961500 4102936488280 4186669886000 4396003380300 4485717735000 4521603476880 4615803549315 4710003621750 4923523785936 5046432451875 5128670610350 5233337357500 5275204056360 5382861282000 5495004225375 5538964259178 5607147168750 5652004346100 5861337840400 6154404732420 6280004829000 6330244867632 6541671696875 6594005070450 6728576602500 7065005432625 7326672300500 7385285678904 7476196225000 7536005794800 7693005915525 7850006036250 7912806084540 8007523650000 8074291923000 8205872976560 8410720753125 8792006760600 8971435470000 9158340375625 9231607098630 9420007243500 9891007605675 10092864903750 10257341220700 10466674715000 10550408112720 10990008450750 11077928518356 11214294337500 11304008692200 11775009054375 12308809464840 12560009658000 12821676525875 13083343393750 13188010140900 13457153205000 13847410647945 14130010865250 14653344601000 14770571357808 14952392450000 15386011831050 15700012072500 15825612169080 16148583846000 16485012676125 16821441506250 17584013521200 18316680751250 18463214197260 18840014487000 19625015090625 19782015211350 20185729807500 20514682441400 20933349430000 21980016901500 22155857036712 22428588675000 22608017384400 23079017746575 23550018108750 24617618929680 25232162259375 25643353051750 26166686787500 26376020281800 26914306410000 27475021126875 27694821295890 28260021730500 29306689202000 30772023662100 31400024145000 31651224338160 32970025352250 33642883012500 35325027163125 36633361502500 36926428394520 37680028974000 38465029577625 39250030181250 39564030422700 40371459615000 41029364882800 43960033803000 44311714073424 44857177350000 45791701878125 46158035493150 47100036217500 49455038028375 50464324518750 51286706103500 52333373575000 52752040563600 54950042253750 55389642591780 56520043461000 58875045271875 61544047324200 62800048290000 64108382629375 65940050704500 67285766025000 69237053239725 70650054326250 73266723005000 73852856789040 76930059155250 78500060362500 79128060845400 80742919230000 82425063380625 87920067606000 91583403756250 92316070986300 94200072435000 98910076056750 100928649037500 102573412207000 104666747150000 109900084507500 110779285183560 113040086922000 115395088732875 117750090543750 123088094648400 128216765258750 131880101409000 134571532050000 137375105634375 138474106479450 141300108652500 146533446010000 153860118310500 157000120725000 158256121690800 164850126761250 176625135815625 183166807512500 184632141972600 188400144870000 192325147888125 197820152113500 201857298075000 205146824414000 219800169015000 221558570367120 230790177465750 235500181087500 247275190141875 256433530517500 263760202818000 274750211268750 276948212958900 282600217305000 307720236621000 314000241450000 320541913146875 329700253522500 346185266198625 353250271631250 366333615025000 369264283945200 384650295776250 395640304227000 403714596150000 412125316903125 439600338030000 461580354931500 471000362175000 494550380283750 512867061035000 549500422537500 553896425917800 565200434610000 576975443664375 615440473242000 641083826293750 659400507045000 692370532397250 706500543262500 732667230050000 769300591552500 791280608454000 824250633806250 923160709863000 942000724350000 961625739440625 989100760567500 1025734122070000 1099000845075000 1107792851835600 1153950887328750 1236375950709375 1282167652587500 1318801014090000 1384741064794500 1413001086525000 1538601183105000 1648501267612500 1730926330993125 1846321419726000 1923251478881250 1978201521135000 2198001690150000 2307901774657500 2472751901418750 2564335305175000 2769482129589000 2826002173050000 2884877218321875 3077202366210000 3297002535225000 3461852661986250 3846502957762500 3956403042270000 4615803549315000 4945503802837500 5128670610350000 5538964259178000 5769754436643750 6594005070450000 6923705323972500 7693005915525000 8654631654965625 9231607098630000 9891007605675000 11539508873287500 13847410647945000 15386011831050000 17309263309931250 19782015211350000 23079017746575000 27694821295890000 34618526619862500 46158035493150000 69237053239725000 138474106479450000
- Sum of all divisors σ(n): 579401630484768000
- Sum of proper divisors (its aliquot sum) s(n): 440927524005318000
- 138474106479450000 is an abundant number, because the sum of its proper divisors (440927524005318000) is greater than itself. Its abundance is 302453417525868000
Bases of 138474106479450000
- Binary: 1111010111111010101110111010101110100110000010111100100002
- Hexadecimal: 0x1EBF577574C1790
- Base-36: 11VGZ2BADVO0
Squares and roots of 138474106479450000
- 138474106479450000 squared (1384741064794500002) is 19175078165282056473272302500000000
- 138474106479450000 cubed (1384741064794500003) is 2655251815611044234322376959359470433625000000000000
-
The
square root of 138474106479450000 is 372121091.1510526031 -
The
cube root of 138474106479450000 is 517356.0401194635
Scales and comparisons
How big is 138474106479450000?- 138,474,106,479,450,000 seconds is equal to 4,403,048,257 years, 26 weeks, 4 days, 9 hours.
-
To count from 1 to 138,474,106,479,450,000 would take you about thirteen billion, two hundred nine million, one hundred forty-four thousand, seven hundred seventy-two 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 138474106479450000 cubic inches would be around 43113 feet tall.
Recreational maths with 138474106479450000
- 138474106479450000 backwards is 000054974601474831
- 138474106479450000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138474106479450000's digits is 63
- More coming soon!
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The information we have on file for 138474106479450000 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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