3971424128000
3,971,424,128,000 is an even composite number composed of five prime numbers multiplied together.
3971424128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 3971424128000:
210 × 53 × 73 × 172 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 17 × 313)See below for interesting mathematical facts about the number 3971424128000 from the Numbermatics database.
Names of 3971424128000
- Cardinal: 3971424128000 can be written as Three trillion, nine hundred seventy-one billion, four hundred twenty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.971424128 × 1012
Factors of 3971424128000
Divisors of 3971424128000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 64 68 70 80 85 98 100 112 119 125 128 136 140 160 170 175 196 200 224 238 245 250 256 272 280 289 313 320 340 343 350 392 400 425 448 476 490 500 512 544 560 578 595 626 640 680 686 700 784 800 833 850 875 896 952 980 1000 1024 1088 1120 1156 1190 1225 1252 1280 1360 1372 1400 1445 1565 1568 1600 1666 1700 1715 1750 1792 1904 1960 2000 2023 2125 2176 2191 2240 2312 2380 2450 2504 2560 2720 2744 2800 2890 2975 3130 3136 3200 3332 3400 3430 3500 3584 3808 3920 4000 4046 4165 4250 4352 4382 4480 4624 4760 4900 5008 5120 5321 5440 5488 5600 5780 5831 5950 6125 6260 6272 6400 6664 6800 6860 7000 7168 7225 7616 7825 7840 8000 8092 8330 8500 8575 8704 8764 8960 9248 9520 9800 10016 10115 10642 10880 10955 10976 11200 11560 11662 11900 12250 12520 12544 12800 13328 13600 13720 14000 14161 14450 14875 15232 15337 15650 15680 16000 16184 16660 17000 17150 17408 17528 17920 18496 19040 19600 20032 20230 20825 21284 21760 21910 21952 22400 23120 23324 23800 24500 25040 25088 25600 26605 26656 27200 27440 28000 28322 28900 29155 29750 30464 30674 31300 31360 32000 32368 33320 34000 34300 35056 35840 36125 36992 37247 38080 39125 39200 40064 40460 41650 42568 42875 43520 43820 43904 44800 46240 46648 47600 49000 50080 50176 50575 53210 53312 54400 54775 54880 56000 56644 57800 58310 59500 60928 61348 62600 62720 64000 64736 66640 68000 68600 70112 70805 72250 73984 74494 76160 76685 78250 78400 80128 80920 83300 85136 85750 87040 87640 87808 89600 90457 92480 93296 95200 98000 99127 100160 101150 104125 106420 106624 107359 108800 109550 109760 112000 113288 115600 116620 119000 121856 122696 125200 125440 128000 129472 133025 133280 136000 137200 140224 141610 144500 145775 147968 148988 152320 153370 156500 156800 160256 161840 166600 170272 171500 175280 175616 179200 180914 184960 186235 186592 190400 196000 198254 200320 202300 208250 212840 213248 214718 217600 219100 219520 224000 226576 231200 233240 238000 245392 250400 250880 252875 258944 260729 266050 266560 272000 273875 274400 280448 283220 289000 291550 295936 297976 304640 306740 313000 313600 320512 323680 333200 340544 343000 350560 351232 354025 361828 369920 372470 373184 380800 383425 392000 396508 400640 404600 416500 425680 426496 429436 435200 438200 439040 448000 452285 453152 462400 466480 476000 490784 495635 500800 505750 517888 521458 532100 533120 536795 544000 547750 548800 560896 566440 578000 583100 595952 609280 613480 626000 627200 633199 647360 665125 666400 681088 686000 701120 708050 723656 728875 739840 744940 746368 761600 766850 784000 793016 801280 809200 833000 851360 852992 858872 876400 878080 896000 904570 906304 924800 931175 932960 952000 981568 991270 1001600 1011500 1035776 1042916 1064200 1066240 1073590 1088000 1095500 1097600 1121792 1132880 1156000 1166200 1191904 1226960 1252000 1254400 1266398 1294720 1303645 1330250 1332800 1362176 1372000 1402240 1416100 1447312 1457750 1479680 1489880 1492736 1523200 1533700 1568000 1586032 1602560 1618400 1666000 1702720 1717744 1752800 1756160 1770125 1809140 1812608 1825103 1849600 1862350 1865920 1904000 1917125 1963136 1982540 2003200 2023000 2071552 2085832 2128400 2132480 2147180 2176000 2191000 2195200 2243584 2261425 2265760 2312000 2332400 2383808 2453920 2478175 2504000 2532796 2589440 2607290 2660500 2665600 2683975 2724352 2744000 2804480 2832200 2894624 2915500 2979760 2985472 3046400 3067400 3136000 3165995 3172064 3236800 3332000 3405440 3435488 3505600 3540250 3618280 3625216 3650206 3699200 3724700 3731840 3808000 3834250 3926272 3965080 4006400 4046000 4171664 4256800 4264960 4294360 4382000 4390400 4432393 4522850 4531520 4624000 4655875 4664800 4767616 4907840 4956350 5008000 5065592 5178880 5214580 5321000 5331200 5367950 5448704 5488000 5608960 5664400 5789248 5831000 5959520 5970944 6134800 6272000 6331990 6344128 6473600 6518225 6664000 6810880 6870976 7011200 7080500 7236560 7250432 7300412 7398400 7449400 7463680 7616000 7668500 7852544 7930160 8012800 8092000 8343328 8513600 8588720 8764000 8780800 8864786 9045700 9063040 9125515 9248000 9311750 9329600 9535232 9815680 9912700 10016000 10131184 10357760 10429160 10642000 10662400 10735900 10976000 11217920 11307125 11328800 11578496 11662000 11919040 12269600 12390875 12663980 12688256 12947200 13036450 13328000 13419875 13621760 13741952 14022400 14161000 14473120 14500864 14600824 14898800 14927360 15232000 15337000 15705088 15829975 15860320 16184000 16686656 17027200 17177440 17528000 17729572 18091400 18126080 18251030 18496000 18623500 18659200 19070464 19631360 19825400 20032000 20262368 20858320 21284000 21324800 21471800 21952000 22161965 22614250 22657600 23156992 23324000 23838080 24539200 24781750 25327960 25376512 25894400 26072900 26656000 26839750 27243520 27483904 28044800 28322000 28946240 29201648 29797600 29854720 30674000 31026751 31659950 31720640 32368000 32591125 33373312 34054400 34354880 35056000 35459144 36182800 36252160 36502060 36992000 37247000 37318400 38140928 39262720 39650800 40064000 40524736 41716640 42568000 42943600 43904000 44323930 45228500 45315200 45627575 46313984 46648000 47676160 49078400 49563500 50655920 50753024 51788800 52145800 53312000 53679500 54967808 56089600 56644000 57892480 58403296 59595200 61348000 62053502 63319900 63441280 64736000 65182250 66746624 68108800 68709760 70112000 70918288 72365600 72504320 73004120 74494000 74636800 78525440 79149875 79301600 81049472 83433280 85136000 85887200 88647860 90457000 90630400 91255150 92627968 93296000 95352320 98156800 99127000 101311840 101506048 104291600 106624000 107359000 109935616 110809825 113288000 115784960 116806592 119190400 122696000 124107004 126639800 126882560 129472000 130364500 133493248 136217600 137419520 140224000 141836576 144731200 146008240 148988000 149273600 155133755 158299750 158603200 162098944 166866560 170272000 171774400 177295720 180914000 181260800 182510300 186592000 190704640 196313600 198254000 202623680 208583200 214718000 221619650 226576000 228137875 231569920 233613184 238380800 245392000 248214008 253279600 253765120 258944000 260729000 266986496 274839040 280448000 283673152 289462400 292016480 297976000 310267510 316599500 317206400 324197888 333733120 340544000 343548800 354591440 361828000 362521600 365020600 373184000 392627200 396508000 405247360 417166400 429436000 443239300 453152000 456275750 463139840 467226368 476761600 490784000 496428016 506559200 507530240 521458000 549678080 554049125 567346304 578924800 584032960 595952000 620535020 633199000 634412800 648395776 667466240 681088000 687097600 709182880 723656000 730041200 746368000 775668775 793016000 810494720 834332800 858872000 886478600 906304000 912551500 934452736 953523200 981568000 992856032 1013118400 1042916000 1108098250 1134692608 1157849600 1168065920 1191904000 1241070040 1266398000 1268825600 1334932480 1374195200 1418365760 1447312000 1460082400 1551337550 1586032000 1620989440 1668665600 1717744000 1772957200 1812608000 1825103000 1868905472 1963136000 1985712064 2026236800 2085832000 2216196500 2269385216 2315699200 2336131840 2383808000 2482140080 2532796000 2537651200 2748390400 2836731520 2894624000 2920164800 3102675100 3172064000 3241978880 3337331200 3435488000 3545914400 3650206000 3878343875 3971424128 4052473600 4171664000 4432393000 4538770432 4672263680 4767616000 4964280160 5065592000 5673463040 5789248000 5840329600 6205350200 6344128000 6674662400 6870976000 7091828800 7300412000 7756687750 7942848256 8104947200 8343328000 8864786000 9344527360 9928560320 10131184000 11346926080 11578496000 11680659200 12410700400 12688256000 13741952000 14183657600 14600824000 15513375500 15885696512 16209894400 16686656000 17729572000 19857120640 20262368000 22693852160 23361318400 24821400800 28367315200 29201648000 31026751000 31771393024 33373312000 35459144000 39714241280 40524736000 46722636800 49642801600 56734630400 58403296000 62053502000 70918288000 79428482560 81049472000 99285603200 113469260800 116806592000 124107004000 141836576000 158856965120 198571206400 233613184000 248214008000 283673152000 397142412800 496428016000 567346304000 794284825600 992856032000 1985712064000 3971424128000
- Sum of all divisors σ(n): 12313186454400
- Sum of proper divisors (its aliquot sum) s(n): 8341762326400
- 3971424128000 is an abundant number, because the sum of its proper divisors (8341762326400) is greater than itself. Its abundance is 4370338198400
Bases of 3971424128000
- Binary: 1110011100101010110101001100001100000000002
- Hexadecimal: 0x39CAB530C00
- Base-36: 1EOG3DX4W
Squares and roots of 3971424128000
- 3971424128000 squared (39714241280002) is 15772209604460560384000000
- 3971424128000 cubed (39714241280003) is 62638133775028005933418545152000000000
-
The
square root of 3971424128000 is 1992843.2271505955 -
The
cube root of 3971424128000 is 15836.1190029313
Scales and comparisons
How big is 3971424128000?- 3,971,424,128,000 seconds is equal to 126,279 years, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 3,971,424,128,000 would take you about three hundred fifteen thousand, six hundred ninety-seven 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 3971424128000 cubic inches would be around 1319.7 feet tall.
Recreational maths with 3971424128000
- 3971424128000 backwards is 0008214241793
- The number of decimal digits it has is: 13
- The sum of 3971424128000's digits is 41
- 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 3971424128000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 3971424128000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/3971424128000/
Chicago style:
Numbermatics. 2024. "Number 3971424128000 - Facts about the integer". https://numbermatics.com/n/3971424128000/
The information we have on file for 3971424128000 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 3971424128000, math, Factors of 3971424128000, curriculum, school, college, exams, university, Prime factorization of 3971424128000, STEM, science, technology, engineering, physics, economics, calculator, three trillion, nine hundred seventy-one billion, four hundred twenty-four million, one hundred twenty-eight thousand.