42137668812800000
42,137,668,812,800,000 is an even composite number composed of four prime numbers multiplied together.
42137668812800000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-two divisors.
Prime factorization of 42137668812800000:
222 × 55 × 112 × 1632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 163 × 163)See below for interesting mathematical facts about the number 42137668812800000 from the Numbermatics database.
Names of 42137668812800000
- Cardinal: 42137668812800000 can be written as Forty-two quadrillion, one hundred thirty-seven trillion, six hundred sixty-eight billion, eight hundred twelve million, eight hundred thousand.
Scientific notation
- Scientific notation: 4.21376688128 × 1016
Factors of 42137668812800000
Divisors of 42137668812800000
- Number of divisors d(n): 1242
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 128 160 163 176 200 220 242 250 256 275 320 326 352 400 440 484 500 512 550 605 625 640 652 704 800 815 880 968 1000 1024 1100 1210 1250 1280 1304 1375 1408 1600 1630 1760 1793 1936 2000 2048 2200 2420 2500 2560 2608 2750 2816 3025 3125 3200 3260 3520 3586 3872 4000 4075 4096 4400 4840 5000 5120 5216 5500 5632 6050 6250 6400 6520 6875 7040 7172 7744 8000 8150 8192 8800 8965 9680 10000 10240 10432 11000 11264 12100 12500 12800 13040 13750 14080 14344 15125 15488 16000 16300 16384 17600 17930 19360 19723 20000 20375 20480 20864 22000 22528 24200 25000 25600 26080 26569 27500 28160 28688 30250 30976 32000 32600 32768 34375 35200 35860 38720 39446 40000 40750 40960 41728 44000 44825 45056 48400 50000 51200 52160 53138 55000 56320 57376 60500 61952 64000 65200 65536 68750 70400 71720 75625 77440 78892 80000 81500 81920 83456 88000 89650 90112 96800 98615 100000 101875 102400 104320 106276 110000 112640 114752 121000 123904 128000 130400 131072 132845 137500 140800 143440 151250 154880 157784 160000 163000 163840 166912 176000 179300 180224 193600 197230 200000 203750 204800 208640 212552 220000 224125 225280 229504 242000 247808 256000 260800 262144 265690 275000 281600 286880 292259 302500 309760 315568 320000 326000 327680 333824 352000 358600 360448 378125 387200 394460 400000 407500 409600 417280 425104 440000 448250 450560 459008 484000 493075 495616 509375 512000 521600 524288 531380 550000 563200 573760 584518 605000 619520 631136 640000 652000 655360 664225 667648 704000 717200 720896 756250 774400 788920 800000 815000 819200 834560 850208 880000 896500 901120 918016 968000 986150 991232 1018750 1024000 1043200 1048576 1062760 1100000 1120625 1126400 1147520 1169036 1210000 1239040 1262272 1280000 1304000 1310720 1328450 1335296 1408000 1434400 1441792 1461295 1512500 1548800 1577840 1600000 1630000 1638400 1669120 1700416 1760000 1793000 1802240 1836032 1936000 1972300 1982464 2037500 2048000 2086400 2097152 2125520 2200000 2241250 2252800 2295040 2338072 2420000 2465375 2478080 2524544 2560000 2608000 2621440 2656900 2670592 2816000 2868800 2883584 2922590 3025000 3097600 3155680 3200000 3214849 3260000 3276800 3321125 3338240 3400832 3520000 3586000 3604480 3672064 3872000 3944600 3964928 4075000 4096000 4172800 4194304 4251040 4400000 4482500 4505600 4590080 4676144 4840000 4930750 4956160 5049088 5120000 5216000 5242880 5313800 5341184 5603125 5632000 5737600 5767168 5845180 6050000 6195200 6311360 6400000 6429698 6520000 6553600 6642250 6676480 6801664 7040000 7172000 7208960 7306475 7344128 7744000 7889200 7929856 8150000 8192000 8345600 8502080 8800000 8965000 9011200 9180160 9352288 9680000 9861500 9912320 10098176 10240000 10432000 10485760 10627600 10682368 11206250 11264000 11475200 11534336 11690360 12100000 12326875 12390400 12622720 12800000 12859396 13040000 13107200 13284500 13352960 13603328 14080000 14344000 14417920 14612950 14688256 15488000 15778400 15859712 16074245 16300000 16384000 16605625 16691200 17004160 17600000 17930000 18022400 18360320 18704576 19360000 19723000 19824640 20196352 20480000 20864000 20971520 21255200 21364736 22412500 22528000 22950400 23068672 23380720 24200000 24653750 24780800 25245440 25600000 25718792 26080000 26214400 26569000 26705920 27206656 28160000 28688000 28835840 29225900 29376512 30976000 31556800 31719424 32148490 32600000 32768000 33211250 33382400 34008320 35200000 35860000 36044800 36532375 36720640 37409152 38720000 39446000 39649280 40392704 40960000 41728000 42510400 42729472 44825000 45056000 45900800 46137344 46761440 48400000 49307500 49561600 50490880 51200000 51437584 52160000 52428800 53138000 53411840 54413312 56320000 57376000 57671680 58451800 58753024 61634375 61952000 63113600 63438848 64296980 65200000 65536000 66422500 66764800 68016640 70400000 71720000 72089600 73064750 73441280 74818304 77440000 78892000 79298560 80371225 80785408 81920000 83028125 83456000 85020800 85458944 89650000 90112000 91801600 93522880 96800000 98615000 99123200 100981760 102400000 102875168 104320000 104857600 106276000 106823680 108826624 112640000 114752000 115343360 116903600 117506048 123268750 123904000 126227200 126877696 128593960 130400000 131072000 132845000 133529600 136033280 140800000 143440000 144179200 146129500 146882560 149636608 154880000 157784000 158597120 160742450 161570816 163840000 166056250 166912000 170041600 170917888 179300000 180224000 182661875 183603200 187045760 193600000 197230000 198246400 201963520 204800000 205750336 208640000 212552000 213647360 217653248 225280000 229504000 230686720 233807200 235012096 246537500 247808000 252454400 253755392 257187920 260800000 262144000 265690000 267059200 272066560 281600000 286880000 288358400 292259000 293765120 299273216 309760000 315568000 317194240 321484900 323141632 327680000 332112500 333824000 340083200 341835776 358600000 360448000 365323750 367206400 374091520 387200000 394460000 396492800 401856125 403927040 409600000 411500672 417280000 425104000 427294720 435306496 450560000 459008000 467614400 470024192 493075000 495616000 504908800 507510784 514375840 521600000 524288000 531380000 534118400 544133120 563200000 573760000 576716800 584518000 587530240 598546432 619520000 631136000 634388480 642969800 646283264 655360000 664225000 667648000 680166400 683671552 717200000 720896000 730647500 734412800 748183040 774400000 788920000 792985600 803712250 807854080 819200000 823001344 834560000 850208000 854589440 870612992 901120000 913309375 918016000 935228800 940048384 986150000 991232000 1009817600 1028751680 1043200000 1062760000 1068236800 1088266240 1126400000 1147520000 1153433600 1169036000 1175060480 1197092864 1239040000 1262272000 1268776960 1285939600 1292566528 1310720000 1328450000 1335296000 1360332800 1434400000 1441792000 1461295000 1468825600 1496366080 1548800000 1577840000 1585971200 1607424500 1615708160 1638400000 1646002688 1669120000 1700416000 1709178880 1741225984 1802240000 1826618750 1836032000 1870457600 1880096768 1972300000 1982464000 2009280625 2019635200 2057503360 2086400000 2125520000 2136473600 2176532480 2252800000 2295040000 2338072000 2350120960 2394185728 2478080000 2524544000 2537553920 2571879200 2585133056 2621440000 2656900000 2670592000 2720665600 2868800000 2883584000 2922590000 2937651200 2992732160 3097600000 3155680000 3171942400 3214849000 3231416320 3276800000 3292005376 3338240000 3400832000 3418357760 3482451968 3604480000 3653237500 3672064000 3740915200 3760193536 3944600000 3964928000 4018561250 4039270400 4115006720 4172800000 4251040000 4272947200 4353064960 4505600000 4590080000 4676144000 4700241920 4788371456 4956160000 5049088000 5143758400 5170266112 5313800000 5341184000 5441331200 5737600000 5767168000 5845180000 5875302400 5985464320 6195200000 6311360000 6343884800 6429698000 6462832640 6553600000 6584010752 6676480000 6801664000 6964903936 7208960000 7306475000 7344128000 7481830400 7520387072 7889200000 7929856000 8037122500 8078540800 8230013440 8345600000 8502080000 8545894400 8706129920 9011200000 9180160000 9352288000 9400483840 9576742912 9912320000 10046403125 10098176000 10287516800 10340532224 10627600000 10682368000 10882662400 11475200000 11690360000 11750604800 11970928640 12390400000 12622720000 12687769600 12859396000 12925665280 13107200000 13168021504 13352960000 13603328000 13929807872 14417920000 14612950000 14688256000 14963660800 15778400000 15859712000 16074245000 16157081600 16460026880 16691200000 17004160000 17091788800 17412259840 18022400000 18360320000 18704576000 18800967680 19153485824 19824640000 20092806250 20196352000 20575033600 20681064448 21255200000 21364736000 21765324800 22950400000 23380720000 23501209600 23941857280 24780800000 25245440000 25718792000 25851330560 26336043008 26705920000 27206656000 27859615744 28835840000 29225900000 29376512000 29927321600 31556800000 31719424000 32148490000 32314163200 32920053760 33382400000 34008320000 34824519680 36044800000 36720640000 37409152000 37601935360 38306971648 39649280000 40185612500 40392704000 41150067200 41362128896 42510400000 42729472000 43530649600 45900800000 46761440000 47002419200 47883714560 49561600000 50490880000 51437584000 51702661120 52672086016 53411840000 54413312000 55719231488 58451800000 58753024000 59854643200 63113600000 63438848000 64296980000 64628326400 65840107520 66764800000 68016640000 69649039360 72089600000 73441280000 74818304000 76613943296 79298560000 80371225000 80785408000 82300134400 82724257792 85020800000 85458944000 87061299200 91801600000 93522880000 94004838400 95767429120 99123200000 100981760000 102875168000 103405322240 105344172032 106823680000 108826624000 111438462976 116903600000 117506048000 119709286400 126227200000 128593960000 129256652800 131680215040 133529600000 136033280000 139298078720 144179200000 146882560000 149636608000 153227886592 158597120000 160742450000 161570816000 164600268800 170041600000 174122598400 183603200000 187045760000 188009676800 191534858240 198246400000 201963520000 205750336000 206810644480 210688344064 213647360000 217653248000 233807200000 235012096000 239418572800 252454400000 257187920000 258513305600 263360430080 267059200000 272066560000 278596157440 293765120000 299273216000 306455773184 317194240000 321484900000 323141632000 329200537600 340083200000 348245196800 367206400000 374091520000 383069716480 396492800000 403927040000 411500672000 413621288960 421376688128 427294720000 435306496000 467614400000 470024192000 478837145600 504908800000 514375840000 517026611200 526720860160 534118400000 544133120000 557192314880 587530240000 598546432000 612911546368 642969800000 646283264000 658401075200 680166400000 696490393600 734412800000 748183040000 766139432960 792985600000 807854080000 823001344000 842753376256 870612992000 935228800000 940048384000 957674291200 1009817600000 1028751680000 1034053222400 1053441720320 1068236800000 1088266240000 1175060480000 1197092864000 1225823092736 1285939600000 1292566528000 1316802150400 1360332800000 1392980787200 1468825600000 1496366080000 1532278865920 1585971200000 1615708160000 1646002688000 1685506752512 1741225984000 1870457600000 1915348582400 2019635200000 2057503360000 2068106444800 2106883440640 2136473600000 2176532480000 2350120960000 2394185728000 2571879200000 2585133056000 2633604300800 2720665600000 2785961574400 2937651200000 2992732160000 3064557731840 3231416320000 3292005376000 3371013505024 3482451968000 3740915200000 3830697164800 4039270400000 4115006720000 4213766881280 4353064960000 4700241920000 4788371456000 5143758400000 5170266112000 5267208601600 5441331200000 5875302400000 5985464320000 6129115463680 6462832640000 6584010752000 6742027010048 6964903936000 7481830400000 7661394329600 8078540800000 8230013440000 8427533762560 8706129920000 9576742912000 10287516800000 10340532224000 10534417203200 10882662400000 11750604800000 11970928640000 12925665280000 13168021504000 13484054020096 13929807872000 14963660800000 15322788659200 16157081600000 16460026880000 16855067525120 17412259840000 19153485824000 20575033600000 21068834406400 21765324800000 23501209600000 23941857280000 25851330560000 26336043008000 29927321600000 30645577318400 32314163200000 32920053760000 33710135050240 34824519680000 38306971648000 41150067200000 42137668812800 43530649600000 47883714560000 51702661120000 52672086016000 59854643200000 64628326400000 65840107520000 67420270100480 69649039360000 76613943296000 82300134400000 84275337625600 87061299200000 95767429120000 105344172032000 119709286400000 129256652800000 131680215040000 153227886592000 164600268800000 168550675251200 174122598400000 191534858240000 210688344064000 239418572800000 258513305600000 263360430080000 329200537600000 337101350502400 348245196800000 383069716480000 421376688128000 478837145600000 526720860160000 658401075200000 766139432960000 842753376256000 957674291200000 1053441720320000 1316802150400000 1685506752512000 1915348582400000 2106883440640000 2633604300800000 3830697164800000 4213766881280000 5267208601600000 8427533762560000 10534417203200000 21068834406400000 42137668812800000
- Sum of all divisors σ(n): 116498793263392638
- Sum of proper divisors (its aliquot sum) s(n): 74361124450592638
- 42137668812800000 is an abundant number, because the sum of its proper divisors (74361124450592638) is greater than itself. Its abundance is 32223455637792638
Bases of 42137668812800000
- Binary: 100101011011001111111100100011010100000000000000000000002
- Hexadecimal: 0x95B3FC8D400000
- Base-36: BIWK1TCRTVK
Squares and roots of 42137668812800000
- 42137668812800000 squared (421376688128000002) is 1775583132977217761443840000000000
- 42137668812800000 cubed (421376688128000003) is 74818934006987824079306327066673152000000000000000
-
The
square root of 42137668812800000 is 205274618.0432446937 -
The
cube root of 42137668812800000 is 347982.0442930937
Scales and comparisons
How big is 42137668812800000?- 42,137,668,812,800,000 seconds is equal to 1,339,847,527 years, 45 weeks, 5 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 42,137,668,812,800,000 would take you about four billion, nineteen million, five hundred forty-two thousand, five hundred eighty-three 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 42137668812800000 cubic inches would be around 28998.5 feet tall.
Recreational maths with 42137668812800000
- 42137668812800000 backwards is 00000821886673124
- The number of decimal digits it has is: 17
- The sum of 42137668812800000's digits is 56
- 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 42137668812800000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
APA style:
Numbermatics. (2024). Number 42137668812800000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/42137668812800000/
Chicago style:
Numbermatics. 2024. "Number 42137668812800000 - Facts about the integer". https://numbermatics.com/n/42137668812800000/
The information we have on file for 42137668812800000 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 42137668812800000, math, Factors of 42137668812800000, curriculum, school, college, exams, university, Prime factorization of 42137668812800000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, one hundred thirty-seven trillion, six hundred sixty-eight billion, eight hundred twelve million, eight hundred thousand.