12628864864000
12,628,864,864,000 is an even composite number composed of six prime numbers multiplied together.
12628864864000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12628864864000:
28 × 53 × 73 × 112 × 37 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 37 × 257)See below for interesting mathematical facts about the number 12628864864000 from the Numbermatics database.
Names of 12628864864000
- Cardinal: 12628864864000 can be written as Twelve trillion, six hundred twenty-eight billion, eight hundred sixty-four million, eight hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.2628864864 × 1013
Factors of 12628864864000
Divisors of 12628864864000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 37 40 44 49 50 55 56 64 70 74 77 80 88 98 100 110 112 121 125 128 140 148 154 160 175 176 185 196 200 220 224 242 245 250 256 257 259 275 280 296 308 320 343 350 352 370 385 392 400 407 440 448 484 490 500 514 518 539 550 560 592 605 616 640 686 700 704 740 770 784 800 814 847 875 880 896 925 968 980 1000 1028 1036 1078 1100 1120 1184 1210 1225 1232 1280 1285 1295 1372 1375 1400 1408 1480 1540 1568 1600 1628 1694 1715 1750 1760 1792 1799 1813 1850 1925 1936 1960 2000 2035 2056 2072 2156 2200 2240 2368 2420 2450 2464 2570 2590 2695 2744 2750 2800 2816 2827 2849 2960 3025 3080 3136 3200 3256 3388 3430 3500 3520 3598 3626 3700 3773 3850 3872 3920 4000 4070 4112 4144 4235 4312 4400 4477 4480 4625 4736 4840 4900 4928 5140 5180 5390 5488 5500 5600 5654 5698 5920 5929 6050 6125 6160 6272 6400 6425 6475 6512 6776 6860 7000 7040 7196 7252 7400 7546 7700 7744 7840 8000 8140 8224 8288 8470 8575 8624 8800 8954 8960 8995 9065 9250 9472 9509 9625 9680 9800 9856 10175 10280 10360 10780 10976 11000 11200 11308 11396 11840 11858 12100 12250 12320 12544 12593 12691 12850 12950 13024 13475 13552 13720 14000 14080 14135 14245 14392 14504 14800 15092 15125 15400 15488 15680 16000 16280 16448 16576 16940 17150 17248 17600 17908 17990 18130 18500 18865 19018 19250 19360 19600 19712 19789 19943 20350 20560 20720 21175 21560 21952 22000 22385 22400 22616 22792 23680 23716 24200 24500 24640 25186 25382 25700 25900 26048 26950 27104 27440 28000 28270 28490 28784 29008 29600 29645 30184 30250 30800 30976 31097 31339 31360 32000 32125 32375 32560 32896 33152 33880 34300 34496 35200 35816 35980 36260 37000 37730 38036 38500 38720 39200 39578 39886 40700 41120 41440 41503 42350 42875 43120 43904 44000 44770 44800 44975 45232 45325 45584 47360 47432 47545 48400 49000 49280 50372 50764 50875 51400 51800 52096 53900 54208 54880 56000 56540 56980 57568 58016 59200 59290 60368 60500 61600 62194 62678 62720 62965 63455 64250 64750 65120 65792 66304 66563 67375 67760 68600 68992 70400 70675 71225 71632 71960 72520 74000 75460 76072 77000 77440 78400 79156 79772 81400 82240 82880 83006 84700 85750 86240 87808 88000 88151 89540 89950 90464 90650 91168 94325 94864 95090 96800 98000 98560 98945 99715 100744 101528 101750 102800 103600 104192 104599 105875 107800 108416 109760 111925 112000 113080 113960 115136 116032 118400 118580 120736 121000 123200 124388 125356 125930 126910 128500 129500 130240 133126 134750 135520 137200 137984 138523 139601 141350 142450 143264 143920 145040 148000 148225 150920 152144 154000 154880 155485 156695 156800 158312 159544 162800 164480 165760 166012 169400 171500 172480 176000 176302 179080 179900 180928 181300 182336 188650 189728 190180 193600 196000 197890 199430 201488 203056 203500 205600 207200 207515 209198 211750 215600 216832 217679 219373 219520 223850 224000 224875 226160 226625 227920 230272 232064 236800 237160 237725 241472 242000 246400 248776 250712 251860 253820 257000 259000 260480 266252 269500 271040 274400 277046 279202 282700 284900 286528 287840 290080 296000 296450 301840 304288 308000 310970 313390 313600 314825 316624 317275 319088 325600 328960 331520 332024 332815 338800 343000 344960 352000 352604 353375 356125 358160 359800 361856 362600 364672 377300 379456 380360 387200 392000 395780 398860 402976 406112 407000 411200 414400 415030 418396 423500 431200 435358 438746 439040 440755 447700 449750 452320 453250 455840 460544 464128 465941 471625 474320 475450 482944 484000 492800 494725 497552 498575 501424 503720 507640 514000 518000 520960 522995 532504 539000 542080 548800 554092 558404 559625 565400 569800 573056 575680 580160 592000 592900 603680 608576 616000 621940 626780 629650 633248 634550 638176 651200 664048 665630 677600 686000 689920 692615 698005 705208 706750 712250 716320 719600 723712 725200 729344 732193 741125 754600 758912 760720 774400 777425 783475 784000 791560 797720 805952 812224 814000 822400 828800 830060 836792 847000 862400 870716 877492 881510 895400 899500 904640 906500 911680 931882 943250 948640 950900 965888 968000 969661 989450 995104 997150 1002848 1007440 1015280 1028000 1036000 1037575 1045990 1065008 1078000 1084160 1088395 1096865 1097600 1108184 1116808 1119250 1130800 1139600 1146112 1150589 1151360 1160320 1184000 1185800 1188625 1207360 1217152 1232000 1243880 1253560 1259300 1266496 1269100 1276352 1302400 1328096 1331260 1355200 1372000 1385230 1396010 1410416 1413500 1424500 1432640 1439200 1450400 1464386 1482250 1509200 1517824 1521440 1523753 1535611 1554850 1566950 1568000 1574125 1583120 1586375 1595440 1611904 1624448 1628000 1644800 1657600 1660120 1664075 1673584 1694000 1724800 1741432 1754984 1763020 1790800 1799000 1809280 1813000 1823360 1863764 1886500 1897280 1901800 1936000 1939322 1978900 1990208 1994300 2005696 2014880 2030560 2056000 2072000 2075150 2091980 2130016 2156000 2176790 2193730 2195200 2203775 2216368 2233616 2238500 2261600 2279200 2301178 2302720 2320640 2329705 2371600 2377250 2414720 2434304 2464000 2473625 2487760 2492875 2507120 2518600 2532992 2538200 2552704 2604800 2614975 2656192 2662520 2710400 2744000 2770460 2792020 2820832 2827000 2849000 2865280 2878400 2900800 2928772 2964500 3018400 3042880 3047506 3071222 3109700 3133900 3148250 3166240 3172750 3190880 3223808 3248896 3256000 3261587 3320240 3328150 3347168 3388000 3449600 3463075 3482864 3490025 3509968 3526040 3581600 3598000 3618560 3626000 3646720 3660965 3727528 3773000 3794560 3803600 3872000 3878644 3887125 3917375 3957800 3980416 3988600 4011392 4029760 4061120 4112000 4144000 4150300 4183960 4260032 4312000 4353580 4387460 4407550 4432736 4467232 4477000 4523200 4558400 4602356 4659410 4743200 4754500 4829440 4848305 4947250 4975520 4985750 5014240 5037200 5065984 5076400 5105408 5125351 5187875 5229950 5312384 5325040 5420800 5441975 5484325 5488000 5540920 5584040 5641664 5654000 5698000 5730560 5752945 5756800 5801600 5857544 5929000 6036800 6085760 6095012 6142444 6219400 6267800 6296500 6332480 6345500 6381760 6512000 6523174 6640480 6656300 6694336 6776000 6926150 6965728 6980050 7019936 7052080 7163200 7196000 7252000 7321930 7455056 7546000 7589120 7607200 7618765 7678055 7757288 7774250 7834750 7915600 7960832 7977200 8022784 8054123 8059520 8122240 8224000 8288000 8300600 8320375 8367920 8520064 8624000 8707160 8774920 8815100 8865472 8934464 8954000 9046400 9116800 9204712 9318820 9486400 9509000 9696610 9894500 9951040 9971500 10028480 10074400 10152800 10250702 10375750 10459900 10624768 10650080 10666271 10883950 10968650 10976000 11018875 11081840 11168080 11283328 11308000 11396000 11505890 11513600 11603200 11648525 11715088 11858000 12073600 12171520 12190024 12284888 12438800 12535600 12593000 12664960 12691000 12763520 13024000 13046348 13074875 13280960 13312600 13388672 13552000 13852300 13931456 13960100 14039872 14104160 14326400 14392000 14504000 14643860 14910112 15092000 15214400 15237530 15356110 15514576 15548500 15669500 15831200 15954400 16108246 16119040 16244480 16307935 16601200 16640750 16735840 17040128 17248000 17315375 17414320 17450125 17549840 17630200 17730944 17868928 17908000 18092800 18233600 18304825 18409424 18637640 18972800 19018000 19393220 19789000 19902080 19943000 20056960 20148800 20305600 20501404 20751500 20919800 21300160 21332542 21767900 21937300 22037750 22163680 22336160 22566656 22616000 22792000 23011780 23297050 23430176 23716000 24147200 24241525 24380048 24569776 24877600 25071200 25186000 25329920 25382000 25527040 25626755 26092696 26149750 26561920 26625200 26777344 27104000 27209875 27421625 27704600 27862912 27920200 28079744 28208320 28652800 28764725 28784000 29008000 29287720 29820224 30184000 30428800 30475060 30712220 31029152 31097000 31339000 31662400 31908800 32216492 32615870 33202400 33281500 33471680 34630750 34828640 34900250 35099680 35260400 35461888 35737856 35816000 35877457 36609650 36818848 37275280 37945600 38036000 38093825 38390275 38786440 39578000 39804160 39886000 40113920 40270615 40297600 40611200 41002808 41503000 41839600 42600320 42665084 43535800 43874600 44075500 44327360 44672320 45232000 45584000 46023560 46594100 46860352 47432000 48483050 48760096 49139552 49755200 50142400 50372000 50764000 51253510 52185392 52299500 53123840 53250400 53331355 54419750 54843250 55409200 55725824 55840400 56159488 56378861 56416640 57529450 57568000 58016000 58242625 58575440 59640448 60368000 60857600 60950120 61424440 62058304 62194000 62678000 63324800 63817600 64432984 65231740 66404800 66563000 66943360 69261500 69657280 69800500 70199360 70520800 71632000 71754914 73219300 73637696 74550560 76072000 76187650 76780550 77572880 79156000 79772000 80541230 80595200 81222400 81539675 82005616 83006000 83679200 85200640 85330168 87071600 87749200 88151000 88654720 89344640 90464000 91168000 91524125 92047120 93188200 93720704 94864000 96966100 97520192 98279104 99510400 100284800 100744000 101528000 102507020 104370784 104599000 106500800 106662710 108839500 109686500 110818400 111680800 112757722 112833280 115058900 116485250 117150880 119280896 120736000 121207625 121900240 122848880 124116608 124388000 125356000 126649600 127635200 128133775 128865968 130463480 132809600 133126000 133886720 138523000 139314560 139601000 140398720 141041600 143264000 143509828 143823625 146438600 147275392 149101120 152144000 152375300 153561100 155145760 158312000 159544000 161082460 163079350 164011232 166012000 167358400 170660336 174143200 175498400 176302000 177309440 178689280 179387285 183048250 184094240 186376400 187441408 189728000 190469125 191951375 193932200 195040384 196558208 199020800 200569600 201353075 201488000 203056000 205014040 208741568 209198000 213001600 213325420 217679000 219373000 221636800 223361600 225515444 230117800 232970500 234301760 242415250 243800480 245697760 248233216 248776000 250712000 256267550 257731936 260926960 265619200 266252000 266656775 277046000 278629120 279202000 280797440 281894305 282083200 287019656 287647250 292877200 294550784 298202240 304288000 304750600 307122200 310291520 316624000 319088000 322164920 326158700 328022464 332024000 334716800 341320672 348286400 350996800 352604000 358774570 366096500 368188480 372752800 380938250 383902750 387864400 390080768 393116416 394652027 402706150 402976000 406112000 407698375 410028080 417483136 418396000 426003200 426650840 435358000 438746000 443273600 446723200 451030888 460235600 465941000 468603520 484830500 487600960 491395520 497552000 501424000 512535100 515463872 521853920 532504000 533313550 554092000 558404000 563788610 564166400 574039312 575294500 585754400 596404480 609501200 614244400 620583040 633248000 638176000 640668875 644329840 652317400 656044928 664048000 669433600 682641344 696572800 701993600 705208000 717549140 732193000 736376960 745505600 761876500 767805500 775728800 789304054 805412300 815396750 820056160 834966272 836792000 853301680 870716000 877492000 886547200 893446400 896936425 902061776 920471200 931882000 937207040 969661000 975201920 982791040 995104000 1002848000 1006765375 1025070200 1030927744 1043707840 1065008000 1066627100 1108184000 1116808000 1127577220 1148078624 1150589000 1171508800 1219002400 1228488800 1241166080 1281337750 1288659680 1304634800 1312089856 1328096000 1333283875 1365282688 1393145600 1403987200 1409471525 1410416000 1435098280 1464386000 1472753920 1491011200 1523753000 1535611000 1551457600 1578608108 1610824600 1630793500 1640112320 1673584000 1706603360 1741432000 1754984000 1793872850 1804123552 1840942400 1863764000 1939322000 1950403840 1965582080 1973260135 2013530750 2050140400 2061855488 2087415680 2130016000 2133254200 2216368000 2233616000 2255154440 2296157248 2301178000 2343017600 2438004800 2456977600 2562675500 2577319360 2609269600 2666567750 2730565376 2818943050 2820832000 2870196560 2928772000 2982022400 3047506000 3071222000 3102915200 3157216216 3221649200 3261587000 3280224640 3347168000 3413206720 3482864000 3509968000 3587745700 3608247104 3681884800 3727528000 3878644000 3946520270 4027061500 4100280800 4174831360 4266508400 4432736000 4467232000 4484682125 4510308880 4592314496 4602356000 4686035200 4876009600 4913955200 5125351000 5154638720 5218539200 5333135500 5637886100 5740393120 5857544000 6095012000 6142444000 6205830400 6314432432 6443298400 6523174000 6560449280 6826413440 6965728000 7019936000 7047357625 7175491400 7216494208 7363769600 7455056000 7757288000 7893040540 8054123000 8200561600 8533016800 8969364250 9020617760 9184628992 9204712000 9752019200 9827910400 9866300675 10250702000 10309277440 10437078400 10666271000 11275772200 11480786240 11715088000 12190024000 12284888000 12628864864 12886596800 13046348000 13652826880 14094715250 14350982800 14432988416 14910112000 15514576000 15786081080 16108246000 16401123200 17066033600 17938728500 18041235520 18409424000 19732601350 20501404000 20874156800 21332542000 22551544400 22961572480 23430176000 24380048000 24569776000 25257729728 25773193600 26092696000 28189430500 28701965600 31029152000 31572162160 32216492000 32802246400 34132067200 35877457000 36082471040 36818848000 39465202700 41002808000 42665084000 45103088800 45923144960 48760096000 49139552000 49331503375 50515459456 51546387200 52185392000 56378861000 57403931200 63144324320 64432984000 68264134400 71754914000 72164942080 78930405400 82005616000 85330168000 90206177600 98663006750 101030918912 104370784000 112757722000 114807862400 126288648640 128865968000 143509828000 157860810800 164011232000 170660336000 180412355200 197326013500 225515444000 229615724800 252577297280 257731936000 287019656000 315721621600 341320672000 360824710400 394652027000 451030888000 505154594560 574039312000 631443243200 789304054000 902061776000 1148078624000 1262886486400 1578608108000 1804123552000 2525772972800 3157216216000 6314432432000 12628864864000
- Sum of all divisors σ(n): 41577697324800
- Sum of proper divisors (its aliquot sum) s(n): 28948832460800
- 12628864864000 is an abundant number, because the sum of its proper divisors (28948832460800) is greater than itself. Its abundance is 16319967596800
Bases of 12628864864000
- Binary: 101101111100011000110000000100001111000000002
- Hexadecimal: 0xB7C63010F00
- Base-36: 4H5MC2LTS
Squares and roots of 12628864864000
- 12628864864000 squared (126288648640002) is 159488227753173738496000000
- 12628864864000 cubed (126288648640003) is 2014155275693685490579658604544000000000
-
The
square root of 12628864864000 is 3553711.4210357599 -
The
cube root of 12628864864000 is 23287.4233637151
Scales and comparisons
How big is 12628864864000?- 12,628,864,864,000 seconds is equal to 401,558 years, 43 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 12,628,864,864,000 would take you about one million, three thousand, eight 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 12628864864000 cubic inches would be around 1940.6 feet tall.
Recreational maths with 12628864864000
- 12628864864000 backwards is 00046846882621
- 12628864864000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12628864864000's digits is 55
- More coming soon!
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"Number 12628864864000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 12628864864000 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/12628864864000/
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The information we have on file for 12628864864000 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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