12642436128000
12,642,436,128,000 is an even composite number composed of seven prime numbers multiplied together.
12642436128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 12642436128000:
28 × 3 × 53 × 7 × 23 × 509 × 1607
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 23 × 509 × 1607)See below for interesting mathematical facts about the number 12642436128000 from the Numbermatics database.
Names of 12642436128000
- Cardinal: 12642436128000 can be written as Twelve trillion, six hundred forty-two billion, four hundred thirty-six million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.2642436128 × 1013
Factors of 12642436128000
Divisors of 12642436128000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 25 28 30 32 35 40 42 46 48 50 56 60 64 69 70 75 80 84 92 96 100 105 112 115 120 125 128 138 140 150 160 161 168 175 184 192 200 210 224 230 240 250 256 276 280 300 320 322 336 345 350 368 375 384 400 420 448 460 480 483 500 509 525 552 560 575 600 640 644 672 690 700 736 750 768 800 805 840 875 896 920 960 966 1000 1018 1050 1104 1120 1150 1200 1280 1288 1344 1380 1400 1472 1500 1527 1600 1607 1610 1680 1725 1750 1792 1840 1920 1932 2000 2036 2100 2208 2240 2300 2400 2415 2545 2576 2625 2688 2760 2800 2875 2944 3000 3054 3200 3214 3220 3360 3450 3500 3563 3680 3840 3864 4000 4025 4072 4200 4416 4480 4600 4800 4821 4830 5090 5152 5250 5376 5520 5600 5750 5888 6000 6108 6400 6428 6440 6720 6900 7000 7126 7360 7635 7728 8000 8035 8050 8144 8400 8625 8832 8960 9200 9600 9642 9660 10180 10304 10500 10689 11040 11200 11249 11500 11707 12000 12075 12216 12725 12856 12880 13440 13800 14000 14252 14720 15270 15456 16000 16070 16100 16288 16800 17250 17664 17815 18400 19200 19284 19320 20125 20360 20608 21000 21378 22080 22400 22498 23000 23414 24000 24105 24150 24432 25450 25712 25760 26880 27600 28000 28504 29440 30540 30912 32000 32140 32200 32576 33600 33747 34500 35121 35630 36800 36961 38175 38568 38640 40175 40250 40720 41216 42000 42756 44160 44800 44996 46000 46828 48000 48210 48300 48864 50900 51424 51520 53445 55200 56000 56245 57008 58535 60375 61080 61824 63625 64280 64400 65152 67200 67494 69000 70242 71260 73600 73922 76350 77136 77280 80350 80500 81440 81949 84000 85512 88320 89075 89992 92000 93656 96000 96420 96600 97728 101800 102848 103040 106890 110400 110883 112000 112490 114016 117070 120525 120750 122160 123648 127250 128560 128800 130304 134400 134988 138000 140484 142520 147200 147844 152700 154272 154560 160700 161000 162880 163898 168000 168735 171024 175605 178150 179984 184000 184805 187312 190875 192840 193200 195456 200875 203600 205696 206080 213780 220800 221766 224000 224980 228032 234140 241050 241500 244320 245847 254500 257120 257600 258727 267225 269976 276000 280968 281225 285040 292675 295688 305400 308544 309120 321400 322000 325760 327796 336000 337470 342048 351210 356300 359968 368000 369610 374624 381750 385680 386400 390912 401750 407200 409745 411392 427560 441600 443532 445375 449960 456064 468280 482100 483000 488640 491694 509000 514240 515200 517454 534450 539952 552000 554415 561936 562450 570080 585350 591376 602625 610800 617088 618240 642800 644000 651520 655592 672000 674940 684096 702420 712600 719936 736000 739220 749248 763500 771360 772800 776181 803500 814400 817963 819490 843675 855120 878025 887064 890750 899920 912128 924025 936560 964200 966000 977280 983388 1018000 1028480 1030400 1034908 1068900 1079904 1104000 1108830 1123872 1124900 1140160 1170700 1182752 1205250 1221600 1229235 1234176 1285600 1288000 1293635 1311184 1336125 1349880 1368192 1404840 1406125 1425200 1439872 1463375 1478440 1498496 1527000 1542720 1545600 1552362 1607000 1628800 1635926 1638980 1687350 1710240 1756050 1774128 1781500 1799840 1848050 1873120 1928400 1932000 1954560 1966776 2036000 2048725 2056960 2069816 2137800 2159808 2208000 2217660 2247744 2249800 2280320 2341400 2365504 2410500 2443200 2453889 2458470 2571200 2576000 2587270 2622368 2672250 2699760 2736384 2772075 2809680 2812250 2850400 2879744 2926750 2956880 2996992 3054000 3085440 3091200 3104724 3214000 3257600 3271852 3277960 3374700 3420480 3512100 3548256 3563000 3599680 3696100 3746240 3856800 3864000 3880905 3933552 4072000 4089815 4097450 4139632 4218375 4275600 4319616 4390125 4435320 4495488 4499600 4560640 4620125 4682800 4731008 4821000 4886400 4907778 4916940 5142400 5152000 5174540 5244736 5344500 5399520 5544150 5619360 5624500 5700800 5725741 5853500 5913760 6108000 6146175 6170880 6209448 6428000 6468175 6543704 6555920 6749400 6840960 7024200 7096512 7126000 7199360 7392200 7492480 7713600 7728000 7761810 7867104 8144000 8179630 8194900 8279264 8436750 8551200 8639232 8780250 8870640 8990976 8999200 9240250 9365600 9462016 9642000 9772800 9815556 9833880 10243625 10284800 10349080 10489472 10689000 10799040 11088300 11238720 11249000 11401600 11451482 11707000 11827520 12216000 12269445 12292350 12418896 12856000 12936350 13087408 13111840 13498800 13681920 13860375 14048400 14193024 14252000 14398720 14784400 14984960 15427200 15456000 15523620 15734208 16288000 16359260 16389800 16558528 16873500 17102400 17177223 17560500 17741280 17998400 18480500 18731200 18813149 19284000 19404525 19631112 19667760 20449075 20487250 20698160 20978944 21378000 21598080 22176600 22477440 22498000 22803200 22902964 23414000 23655040 24432000 24538890 24584700 24837792 25712000 25872700 26174816 26223680 26997600 27720750 28096800 28386048 28504000 28628705 29568800 30730875 30854400 31047240 31468416 32340875 32718520 32779600 33117056 33747000 34204800 34354446 35121000 35482560 35996800 36961000 37462400 37626298 38568000 38809050 39262224 39335520 40898150 40974500 41396320 42756000 43196160 44353200 44954880 44996000 45805928 46828000 47310080 48864000 49077780 49169400 49675584 51424000 51745400 52349632 52447360 53995200 55441500 56193600 56439447 57008000 57257410 59137600 61347225 61461750 62094480 62936832 64681750 65437040 65559200 66234112 67494000 68409600 68708892 70242000 70965120 71993600 73922000 74924800 75252596 77136000 77618100 78524448 78671040 81796300 81949000 82792640 85512000 85886115 88706400 89992000 91611856 93656000 94065745 97022625 98155560 98338800 99351168 102245375 103490800 104699264 104894720 107990400 110883000 112387200 112878894 114016000 114514820 118275200 122694450 122923500 124188960 129363500 130874080 131118400 131692043 134988000 137417784 140484000 141930240 143143525 147844000 150505192 154272000 155236200 157048896 157342080 163592600 163898000 165585280 171024000 171772230 177412800 179984000 183223712 187312000 188131490 194045250 196311120 196677600 198702336 204490750 206981600 209398528 215980800 221766000 224774400 225757788 229029640 236550400 245388900 245847000 248377920 258727000 261748160 262236800 263384086 269976000 274835568 280968000 282197235 286287050 295688000 301010384 306736125 310472400 314097792 314684160 327185200 327796000 331170560 342048000 343544460 354825600 359968000 366447424 374624000 376262980 388090500 392622240 393355200 395076129 408981500 413963200 429430575 443532000 451515576 458059280 470328725 490777800 491694000 496755840 517454000 523496320 524473600 526768172 539952000 549671136 561936000 564394470 572574100 591376000 602020768 613472250 620944800 628195584 654370400 655592000 658460215 687088920 709651200 715717625 732894848 752525960 776181000 785244480 786710400 790152258 817963000 827926400 858861150 887064000 903031152 916118560 940657450 981555600 983388000 993511680 1034908000 1046992640 1053536344 1079904000 1099342272 1123872000 1128788940 1145148200 1182752000 1204041536 1226944500 1241889600 1308740800 1311184000 1316920430 1374177840 1410986175 1431435250 1465789696 1505051920 1552362000 1570488960 1573420800 1580304516 1635926000 1655852800 1717722300 1774128000 1806062304 1832237120 1881314900 1963111200 1966776000 1975380645 2069816000 2107072688 2147152875 2198684544 2257577880 2290296400 2351643625 2408083072 2453889000 2483779200 2617481600 2622368000 2633840860 2748355680 2821972350 2862870500 3010103840 3104724000 3140977920 3160609032 3271852000 3292301075 3435444600 3548256000 3612124608 3664474240 3762629800 3926222400 3933552000 3950761290 4139632000 4214145376 4294305750 4397369088 4515155760 4580592800 4703287250 4816166144 4907778000 4967558400 5234963200 5267681720 5496711360 5643944700 5725741000 6020207680 6209448000 6321218064 6543704000 6584602150 6870889200 7054930875 7224249216 7328948480 7525259600 7852444800 7867104000 7901522580 8279264000 8428290752 8588611500 9030311520 9161185600 9406574500 9815556000 9876903225 10535363440 10993422720 11287889400 11451482000 12040415360 12418896000 12642436128 13087408000 13169204300 13741778400 14109861750 14448498432 15050519200 15704889600 15803045160 16461505375 16856581504 17177223000 18060623040 18322371200 18813149000 19631112000 19753806450 21070726880 21986845440 22575778800 22902964000 24080830720 24837792000 25284872256 26174816000 26338408600 27483556800 28219723500 30101038400 31606090320 32923010750 33713163008 34354446000 36121246080 36644742400 37626298000 39262224000 39507612900 42141453760 45151557600 45805928000 49384516125 50569744512 52676817200 54967113600 56439447000 60202076800 63212180640 65846021500 68708892000 72242492160 75252596000 78524448000 79015225800 84282907520 90303115200 91611856000 98769032250 101139489024 105353634400 109934227200 112878894000 120404153600 126424361280 131692043000 137417784000 150505192000 158030451600 168565815040 180606230400 183223712000 197538064500 210707268800 225757788000 252848722560 263384086000 274835568000 301010384000 316060903200 361212460800 395076129000 421414537600 451515576000 505697445120 526768172000 549671136000 602020768000 632121806400 790152258000 842829075200 903031152000 1053536344000 1264243612800 1580304516000 1806062304000 2107072688000 2528487225600 3160609032000 4214145376000 6321218064000 12642436128000
- Sum of all divisors σ(n): 50206845911040
- Sum of proper divisors (its aliquot sum) s(n): 37564409783040
- 12642436128000 is an abundant number, because the sum of its proper divisors (37564409783040) is greater than itself. Its abundance is 24921973655040
Bases of 12642436128000
- Binary: 101101111111100010111110101000011101000000002
- Hexadecimal: 0xB7F8BEA1D00
- Base-36: 4HBUS1W5C
Squares and roots of 12642436128000
- 12642436128000 squared (126424361280002) is 159831191250559632384000000
- 12642436128000 cubed (126424361280003) is 2020655626647352596669880369152000000000
-
The
square root of 12642436128000 is 3555620.3576872489 -
The
cube root of 12642436128000 is 23295.7621081565
Scales and comparisons
How big is 12642436128000?- 12,642,436,128,000 seconds is equal to 401,990 years, 18 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 12,642,436,128,000 would take you about one million, four thousand, nine hundred seventy-five 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 12642436128000 cubic inches would be around 1941.3 feet tall.
Recreational maths with 12642436128000
- 12642436128000 backwards is 00082163424621
- The number of decimal digits it has is: 14
- The sum of 12642436128000's digits is 39
- More coming soon!
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The information we have on file for 12642436128000 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 12642436128000, math, Factors of 12642436128000, curriculum, school, college, exams, university, Prime factorization of 12642436128000, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, six hundred forty-two billion, four hundred thirty-six million, one hundred twenty-eight thousand.