42540208128000
42,540,208,128,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42540208128000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3072 divisors.
42540208128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 42540208128000:
215 × 33 × 53 × 113 × 172
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 17 × 17)See below for interesting mathematical facts about the number 42540208128000 from the Numbermatics database.
Names of 42540208128000
- Cardinal: 42540208128000 can be written as Forty-two trillion, five hundred forty billion, two hundred eight million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2540208128 × 1013
Factors of 42540208128000
Divisors of 42540208128000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 54 55 60 64 66 68 72 75 80 85 88 90 96 99 100 102 108 110 120 121 125 128 132 135 136 144 150 153 160 165 170 176 180 187 192 198 200 204 216 220 225 240 242 250 255 256 264 270 272 275 288 289 297 300 306 320 330 340 352 360 363 374 375 384 396 400 408 425 432 440 450 459 480 484 495 500 510 512 528 540 544 550 561 576 578 594 600 605 612 640 660 675 680 704 720 726 748 750 765 768 792 800 816 825 850 864 867 880 900 918 935 960 968 990 1000 1020 1024 1056 1080 1088 1089 1100 1122 1125 1152 1156 1188 1200 1210 1224 1275 1280 1320 1331 1350 1360 1375 1408 1440 1445 1452 1485 1496 1500 1530 1536 1584 1600 1632 1650 1683 1700 1728 1734 1760 1800 1815 1836 1870 1920 1936 1980 2000 2040 2048 2057 2112 2125 2160 2176 2178 2200 2244 2250 2295 2304 2312 2376 2400 2420 2448 2475 2550 2560 2601 2640 2662 2700 2720 2750 2805 2816 2880 2890 2904 2970 2992 3000 3025 3060 3072 3168 3179 3200 3264 3267 3300 3366 3375 3400 3456 3468 3520 3600 3630 3672 3740 3825 3840 3872 3960 3993 4000 4080 4096 4114 4125 4224 4250 4320 4335 4352 4356 4400 4488 4500 4590 4608 4624 4675 4752 4800 4840 4896 4950 5049 5100 5120 5202 5280 5324 5400 5440 5445 5500 5610 5632 5760 5780 5808 5940 5984 6000 6050 6120 6144 6171 6336 6358 6375 6400 6528 6534 6600 6655 6732 6750 6800 6912 6936 7040 7200 7225 7260 7344 7425 7480 7650 7680 7744 7803 7920 7986 8000 8160 8192 8228 8250 8415 8448 8500 8640 8670 8704 8712 8800 8976 9000 9075 9180 9216 9248 9350 9504 9537 9600 9680 9792 9900 10098 10200 10240 10285 10404 10560 10648 10800 10880 10890 11000 11220 11264 11475 11520 11560 11616 11880 11968 11979 12000 12100 12240 12288 12342 12375 12672 12716 12750 12800 13005 13056 13068 13200 13310 13464 13500 13600 13824 13872 14025 14080 14400 14450 14520 14688 14850 14960 15125 15300 15360 15488 15606 15840 15895 15972 16000 16320 16335 16384 16456 16500 16830 16896 17000 17280 17340 17408 17424 17600 17952 18000 18150 18360 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3323453760 3336486912 3345408000 3357024000 3437592576 3446784000 3461931000 3475507200 3515719680 3545017344 3551232000 3554496000 3580825600 3662208000 3679948800 3692726400 3707207680 3776652000 3791462400 3867291648 3906355200 3909945600 3938908160 3995136000 4028428800 4088832000 4136140800 4154317200 4170608640 4212736000 4296990720 4344384000 4394649600 4431271680 4460544000 4476032000 4549754880 4599936000 4615908000 4634009600 4687626240 4726689792 4739328000 4834114560 4882944000 4887432000 4906598400 4923635200 5004730368 5035536000 5055283200 5156388864 5170176000 5192896500 5213260800 5317526016 5326848000 5371238400 5451776000 5493312000 5539089600 5560811520 5687193600 5729320960 5792512000 5859532800 5887918080 5908362240 6042643200 6133248000 6154544000 6255912960 6302253056 6319104000 6392217600 6445486080 6510592000 6516576000 6646907520 6672973824 6690816000 6714048000 6893568000 6923862000 6951014400 7031439360 7090034688 7108992000 7161651200 7324416000 7359897600 7385452800 7553304000 7582924800 7734583296 7812710400 7819891200 7877816320 7990272000 8056857600 8177664000 8308634400 8341217280 8425472000 8593981440 8688768000 8789299200 8862543360 8952064000 9099509760 9199872000 9231816000 9268019200 9453379584 9478656000 9668229120 9765888000 9774864000 9813196800 9847270400 10009460736 10071072000 10312777728 10340352000 10385793000 10426521600 10635052032 10653696000 10742476800 10986624000 11078179200 11121623040 11374387200 11585024000 11719065600 11816724480 12085286400 12266496000 12309088000 12511825920 12604506112 12638208000 12890972160 13021184000 13033152000 13293815040 13381632000 13428096000 13847724000 13902028800 14062878720 14180069376 14217984000 14323302400 14648832000 14719795200 14770905600 15106608000 15165849600 15469166592 15639782400 15755632640 15980544000 16113715200 16355328000 16617268800 16682434560 17187962880 17377536000 17578598400 17725086720 17904128000 18399744000 18463632000 18536038400 18906759168 18957312000 19336458240 19531776000 19549728000 19694540800 20018921472 20142144000 20680704000 20771586000 20853043200 21270104064 21484953600 21973248000 22156358400 22748774400 23170048000 23438131200 23633448960 24170572800 24532992000 24618176000 25023651840 25276416000 25781944320 26066304000 26587630080 26856192000 27695448000 27804057600 28360138752 28435968000 28646604800 29297664000 29439590400 29541811200 30213216000 30938333184 31279564800 31511265280 31961088000 32227430400 33234537600 33364869120 34755072000 35157196800 35450173440 35808256000 36799488000 36927264000 37813518336 37914624000 38672916480 39063552000 39099456000 39389081600 40284288000 41543172000 41706086400 42540208128 42969907200 43946496000 44312716800 45497548800 46340096000 47266897920 48341145600 49065984000 49236352000 50047303680 51563888640 52132608000 53175260160 53712384000 55390896000 55608115200 56720277504 56871936000 58595328000 59083622400 60426432000 62559129600 63022530560 64454860800 66469075200 69510144000 70314393600 70900346880 71616512000 73598976000 73854528000 75829248000 77345832960 78198912000 78778163200 80568576000 83086344000 83412172800 85080416256 85939814400 87892992000 88625433600 92680192000 94533795840 96682291200 98472704000 100094607360 104265216000 106350520320 107424768000 110781792000 113440555008 113743872000 117190656000 118167244800 120852864000 125118259200 128909721600 132938150400 139020288000 141800693760 143233024000 147197952000 147709056000 154691665920 156397824000 157556326400 161137152000 166172688000 166824345600 170160832512 175785984000 177250867200 189067591680 193364582400 196945408000 208530432000 212701040640 214849536000 221563584000 227487744000 236334489600 241705728000 250236518400 257819443200 265876300800 278040576000 283601387520 295418112000 312795648000 315112652800 322274304000 332345376000 340321665024 351571968000 354501734400 386729164800 393890816000 417060864000 425402081280 429699072000 443127168000 472668979200 483411456000 500473036800 531752601600 567202775040 590836224000 625591296000 644548608000 664690752000 709003468800 773458329600 787781632000 834121728000 850804162560 886254336000 945337958400 966822912000 1063505203200 1181672448000 1251182592000 1289097216000 1329381504000 1418006937600 1575563264000 1701608325120 1772508672000 1933645824000 2127010406400 2363344896000 2502365184000 2658763008000 2836013875200 3545017344000 3867291648000 4254020812800 4726689792000 5317526016000 7090034688000 8508041625600 10635052032000 14180069376000 21270104064000 42540208128000
- Sum of all divisors σ(n): 183796546003200
- Sum of proper divisors (its aliquot sum) s(n): 141256337875200
- 42540208128000 is an abundant number, because the sum of its proper divisors (141256337875200) is greater than itself. Its abundance is 98716129747200
Bases of 42540208128000
- Binary: 10011010110000101010011111111010000000000000002
- Hexadecimal: 0x26B0A9FE8000
- Base-36: F2UP9KAO0
Squares and roots of 42540208128000
- 42540208128000 squared (425402081280002) is 1809669307573557264384000000
- 42540208128000 cubed (425402081280003) is 76983708987032772696221681713152000000000
-
The
square root of 42540208128000 is 6522285.4988109805 -
The
cube root of 42540208128000 is 34908.6620174579
Scales and comparisons
How big is 42540208128000?- 42,540,208,128,000 seconds is equal to 1,352,647 years, 1 week, 5 days.
-
To count from 1 to 42,540,208,128,000 would take you about three million, three hundred eighty-one thousand, six hundred seventeen 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 42540208128000 cubic inches would be around 2909.1 feet tall.
Recreational maths with 42540208128000
- 42540208128000 backwards is 00082180204524
- 42540208128000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42540208128000's digits is 36
- More coming soon!
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Cite this page
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"Number 42540208128000 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.
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Numbermatics. (2024). Number 42540208128000 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/42540208128000/
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The information we have on file for 42540208128000 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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