1128676142131200
1,128,676,142,131,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 1128676142131200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
1128676142131200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 1128676142131200:
211 × 32 × 52 × 13 × 257 × 281 × 2609
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 257 × 281 × 2609)See below for interesting mathematical facts about the number 1128676142131200 from the Numbermatics database.
Names of 1128676142131200
- Cardinal: 1128676142131200 can be written as One quadrillion, one hundred twenty-eight trillion, six hundred seventy-six billion, one hundred forty-two million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.1286761421312 × 1015
Factors of 1128676142131200
Divisors of 1128676142131200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 128 130 144 150 156 160 180 192 195 200 208 225 234 240 256 257 260 281 288 300 312 320 325 360 384 390 400 416 450 468 480 512 514 520 562 576 585 600 624 640 650 720 768 771 780 800 832 843 900 936 960 975 1024 1028 1040 1124 1152 1170 1200 1248 1280 1285 1300 1405 1440 1536 1542 1560 1600 1664 1686 1800 1872 1920 1950 2048 2056 2080 2248 2304 2313 2340 2400 2496 2529 2560 2570 2600 2609 2810 2880 2925 3072 3084 3120 3200 3328 3341 3372 3600 3653 3744 3840 3855 3900 4112 4160 4215 4496 4608 4626 4680 4800 4992 5058 5120 5140 5200 5218 5620 5760 5850 6144 6168 6240 6400 6425 6656 6682 6744 7025 7200 7306 7488 7680 7710 7800 7827 8224 8320 8430 8992 9216 9252 9360 9600 9984 10023 10116 10240 10280 10400 10436 10959 11240 11520 11565 11700 12336 12480 12645 12800 12850 13045 13312 13364 13488 14050 14400 14612 14976 15360 15420 15600 15654 16448 16640 16705 16860 17984 18265 18432 18504 18720 19200 19275 19968 20046 20232 20560 20800 20872 21075 21918 22480 23040 23130 23400 23481 24672 24960 25290 25600 25700 26090 26624 26728 26976 28100 28800 29224 29952 30069 30720 30840 31200 31308 32877 32896 33280 33410 33720 33917 35968 36530 37008 37440 38400 38550 39135 39936 40092 40464 41120 41600 41744 42150 43836 44960 46080 46260 46800 46962 49344 49920 50115 50580 51200 51400 52180 53456 53952 54795 56200 57600 57825 58448 59904 60138 61680 62400 62616 63225 65225 65754 65792 66560 66820 67440 67834 71936 72217 73060 74016 74880 76800 77100 78270 79872 80184 80928 82240 83200 83488 83525 84300 87672 89920 91325 92160 92520 93600 93924 98688 99840 100230 101160 101751 102800 104360 106912 107904 109590 112400 115200 115650 116896 117405 119808 120276 123360 124800 125232 126450 130450 131508 131584 133120 133640 134880 135668 143872 144434 146120 148032 149760 150345 153600 154200 156540 160368 161856 164385 164480 166400 166976 167050 168600 169585 175344 179840 182650 185040 187200 187848 195675 197376 199680 200460 202320 203502 205600 208720 213824 215808 216651 219180 224800 230400 231300 233792 234810 239616 240552 246720 249600 250464 250575 252900 260900 263016 263168 267280 269760 271336 273975 287744 288868 292240 296064 299520 300690 305253 308400 313080 320736 323712 328770 328960 332800 333952 334100 337200 339170 350688 359680 361085 365300 370080 374400 375696 391350 394752 399360 400920 404640 407004 411200 417440 427648 431616 433302 438360 449600 460800 462600 467584 469620 481104 493440 499200 500928 501150 505800 508755 521800 526032 526336 534560 539520 542672 547950 575488 577736 584480 587025 592128 599040 601380 610506 616800 626160 641472 647424 649953 657540 657920 665600 667904 668200 670513 674400 678340 701376 719360 722170 730600 733129 740160 748800 751392 751725 782700 789504 801840 809280 814008 821925 822400 834880 847925 855296 863232 866604 876720 899200 925200 935168 938821 939240 962208 986880 998400 1001856 1002300 1011600 1017510 1043600 1052064 1069120 1079040 1083255 1085344 1095900 1155472 1168960 1174050 1184256 1198080 1202760 1221012 1233600 1252320 1282944 1294848 1299906 1315080 1315840 1335808 1336400 1341026 1348800 1356680 1402752 1438720 1444340 1461200 1466258 1480320 1497600 1502784 1503450 1526265 1565400 1579008 1603680 1618560 1628016 1643850 1644800 1669760 1695850 1710592 1726464 1733208 1753440 1798400 1805425 1850400 1870336 1877642 1878480 1924416 1973760 1996800 2003712 2004600 2011539 2023200 2035020 2087200 2104128 2138240 2158080 2166510 2170688 2191800 2199387 2310944 2337920 2348100 2368512 2405520 2442024 2467200 2504640 2543775 2565888 2589696 2599812 2630160 2631680 2671616 2672800 2682052 2697600 2713360 2805504 2816463 2877440 2888680 2922400 2932516 2960640 2995200 3005568 3006900 3052530 3130800 3207360 3237120 3249765 3256032 3287700 3289600 3339520 3352565 3391700 3421184 3466416 3506880 3596800 3610850 3665645 3700800 3740672 3755284 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27448349760 27893340800 28152153600 28262122950 28840581120 29278239744 29392607868 30146264480 30498166400 30897239040 31380008400 33277593600 33472008960 33782584320 33914547540 34310437200 34330265600 36050726400 36175517376 36597799680 36740759835 37536204800 37682830600 38621548800 39190143824 40166410752 41840011200 42228230400 42393184425 43260871680 43917359616 44088911802 44629345280 45219396720 45747249600 48067635200 48234023168 48797066240 48987679780 50208013440 51495398400 53555214336 54076089600 54263276064 54896699520 55786681600 56304307200 56524245900 58556479488 58785215736 60292528960 60996332800 61234599725 61794478080 62760016800 66944017920 67565168640 67829095080 68620874400 72101452800 72351034752 73195599360 73481519670 75365661200 77243097600 78380287648 80332821504 83680022400 84456460800 84786368850 86521743360 87834719232 88177823604 89258690560 90438793440 91494499200 96468046336 97594132480 97975359560 100416026880 102990796800 108152179200 108526552128 109793399040 110222279505 111573363200 112608614400 113048491800 117570431472 120585057920 121992665600 122469199450 125520033600 133888035840 135658190160 137241748800 144202905600 144702069504 146391198720 146963039340 150731322400 154486195200 156760575296 160665643008 167360044800 168912921600 169572737700 175669438464 176355647208 180877586880 182988998400 183703799175 192936092672 195950719120 200832053760 216304358400 217053104256 219586798080 220444559010 223146726400 226096983600 235140862944 241170115840 243985331200 244938398900 251040067200 267776071680 271316380320 274483497600 289404139008 292782397440 293926078680 301462644800 308972390400 313521150592 334720089600 337825843200 339145475400 352711294416 361755173760 365977996800 367407598350 385872185344 391901438240 401664107520 432608716800 434106208512 439173596160 440889118020 446293452800 452193967200 470281725888 482340231680 487970662400 489876797800 502080134400 542632760640 548966995200 551111397525 578808278016 587852157360 602925289600 627042301184 669440179200 678290950800 705422588832 723510347520 731955993600 734815196700 783802876480 803328215040 868212417024 878347192320 881778236040 904387934400 940563451776 964680463360 979753595600 1004160268800 1085265521280 1097933990400 1102222795050 1157616556032 1175704314720 1205850579200 1254084602368 1338880358400 1356581901600 1410845177664 1447020695040 1463911987200 1469630393400 1567605752960 1736424834048 1763556472080 1808775868800 1881126903552 1929360926720 1959507191200 2008320537600 2170531042560 2195867980800 2204445590100 2351408629440 2411701158400 2508169204736 2713163803200 2821690355328 2894041390080 2939260786800 3135211505920 3472849668096 3527112944160 3617551737600 3762253807104 3919014382400 4016641075200 4341062085120 4391735961600 4408891180200 4702817258880 4823402316800 5016338409472 5426327606400 5643380710656 5788082780160 5878521573600 6270423011840 7054225888320 7235103475200 7524507614208 7838028764800 8682124170240 8817782360400 9405634517760 9646804633600 10852655212800 11286761421312 11757043147200 12540846023680 14108451776640 14470206950400 15049015228416 15676057529600 17364248340480 17635564720800 18811269035520 21705310425600 22573522842624 23514086294400 25081692047360 28216903553280 28940413900800 31352115059200 35271129441600 37622538071040 43410620851200 45147045685248 47028172588800 56433807106560 62704230118400 70542258883200 75245076142080 86821241702400 94056345177600 112867614213120 125408460236800 141084517766400 188112690355200 225735228426240 282169035532800 376225380710400 564338071065600 1128676142131200
- Sum of all divisors σ(n): 4387289669708400
- Sum of proper divisors (its aliquot sum) s(n): 3258613527577200
- 1128676142131200 is an abundant number, because the sum of its proper divisors (3258613527577200) is greater than itself. Its abundance is 2129937385446000
Bases of 1128676142131200
- Binary: 1000000001010000110011001001000010010101000000000002
- Hexadecimal: 0x402866484A800
- Base-36: B42YNTGXS0
Squares and roots of 1128676142131200
- 1128676142131200 squared (11286761421312002) is 1273909833816168783678013440000
- 1128676142131200 cubed (11286761421312003) is 1437831636654631490179214124101903843328000000
-
The
square root of 1128676142131200 is 33595775.6590199893 -
The
cube root of 1128676142131200 is 104117.3521879881
Scales and comparisons
How big is 1128676142131200?- 1,128,676,142,131,200 seconds is equal to 35,888,410 years, 4 weeks, 6 days, 16 hours.
-
To count from 1 to 1,128,676,142,131,200 would take you about one hundred seven million, six hundred sixty-five thousand, two hundred thirty 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 1128676142131200 cubic inches would be around 8676.4 feet tall.
Recreational maths with 1128676142131200
- 1128676142131200 backwards is 0021312416768211
- 1128676142131200 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1128676142131200's digits is 45
- More coming soon!
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The information we have on file for 1128676142131200 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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