12004005728000
12,004,005,728,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12004005728000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
12004005728000 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 12004005728000:
28 × 53 × 11 × 13 × 172 × 29 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 13 × 17 × 17 × 29 × 313)See below for interesting mathematical facts about the number 12004005728000 from the Numbermatics database.
Names of 12004005728000
- Cardinal: 12004005728000 can be written as Twelve trillion, four billion, five million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.2004005728 × 1013
Factors of 12004005728000
Divisors of 12004005728000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 20 22 25 26 29 32 34 40 44 50 52 55 58 64 65 68 80 85 88 100 104 110 116 125 128 130 136 143 145 160 170 176 187 200 208 220 221 232 250 256 260 272 275 286 289 290 313 319 320 325 340 352 374 377 400 416 425 440 442 464 493 500 520 544 550 572 578 580 626 638 640 650 680 704 715 725 748 754 800 832 850 880 884 928 935 986 1000 1040 1088 1100 1105 1144 1156 1160 1252 1276 1280 1300 1360 1375 1408 1430 1445 1450 1496 1508 1565 1595 1600 1625 1664 1700 1760 1768 1856 1870 1885 1972 2000 2080 2125 2176 2200 2210 2288 2312 2320 2431 2465 2504 2552 2600 2720 2750 2816 2860 2890 2900 2992 3016 3130 3179 3190 3200 3250 3328 3400 3443 3520 3536 3575 3625 3712 3740 3757 3770 3944 4000 4069 4147 4160 4250 4352 4400 4420 4576 4624 4640 4675 4862 4930 5008 5104 5200 5321 5423 5440 5500 5525 5720 5780 5800 5984 6032 6260 6358 6380 6400 6409 6500 6800 6886 7040 7072 7150 7225 7250 7424 7480 7514 7540 7825 7888 7975 8000 8138 8294 8320 8381 8500 8800 8840 9077 9152 9248 9280 9350 9425 9724 9860 10016 10208 10400 10642 10846 10880 11000 11050 11440 11560 11600 11968 12064 12155 12325 12520 12716 12760 12818 13000 13600 13772 14080 14144 14300 14450 14500 14960 15028 15080 15650 15776 15895 15950 16000 16276 16588 16640 16762 17000 17215 17600 17680 17875 18154 18304 18496 18560 18700 18785 18850 19448 19720 20032 20345 20416 20735 20800 21284 21692 21760 22000 22100 22880 23120 23200 23375 23936 24128 24310 24650 25040 25432 25520 25636 26000 26605 27115 27200 27544 27625 28288 28600 28900 29000 29920 30056 30160 31300 31552 31790 31900 32000 32045 32552 33176 33524 34000 34430 35200 35360 35750 36125 36308 36608 36992 37120 37400 37570 37700 38896 39125 39440 39875 40064 40690 40832 41327 41470 41600 41905 42568 43384 44000 44200 44759 45385 45760 46240 46400 46750 47125 47872 48256 48620 49300 50080 50864 51040 51272 52000 53210 54230 54400 55088 55250 56576 57200 57800 58000 58531 59840 60112 60320 60775 61625 62600 63104 63580 63800 64090 65104 66352 67048 68000 68860 69173 70400 70499 70720 71500 72250 72616 73984 74800 75140 75400 77792 78250 78880 79475 79750 80128 81380 81664 82654 82940 83200 83810 85136 86075 86768 88000 88400 89518 90457 90770 91520 92191 92480 92800 93500 93925 94250 96512 97240 98600 99847 100160 101725 101728 102080 102544 103675 104000 106420 108460 108800 108953 110176 110500 114400 115600 116000 117062 118001 119680 120224 120640 121550 123250 125200 126208 127160 127600 128180 130208 132704 133025 134096 135575 136000 137720 138346 140998 141440 143000 144500 145232 149600 150280 150800 154309 155584 156500 157760 158950 159500 160225 162760 165308 165880 167620 170272 172150 173536 176000 176800 179036 180914 181540 183040 184382 184960 185600 187000 187850 188500 194480 197200 199694 200320 203450 203456 204160 205088 206635 207350 208000 209525 212840 216920 217906 220352 221000 223795 226925 228800 231200 232000 234124 236002 239360 240448 241280 243100 246500 250400 254320 255200 256360 260416 265408 266050 268192 271150 272000 275440 276692 281996 282880 286000 289000 290464 292655 299200 300560 301600 303875 308618 311168 313000 315520 317900 319000 320450 325520 330616 331760 335240 340544 344300 345865 347072 352000 352495 353600 358072 361828 363080 368764 369920 374000 375700 377000 388960 394400 397375 399388 400640 406900 406912 408320 410176 413270 414700 416000 419050 425680 430375 433840 435812 440704 442000 447590 452285 453850 457600 460955 462400 464000 468248 469625 472004 480896 482560 486200 493000 499235 500800 508625 508640 510400 512720 518375 520832 530816 532100 536384 542300 544000 544765 550880 553384 563992 572000 578000 580928 585310 590005 598400 601120 603200 607750 617236 622336 626000 631040 635800 638000 640900 651040 661232 663520 665125 670480 677875 681088 688600 691730 694144 704990 707200 716144 723656 726160 737528 748000 751400 754000 760903 771545 777920 788800 794750 798776 801125 813800 813824 820352 826540 829400 838100 851360 860750 867680 871624 881408 884000 895180 904570 907700 915200 921910 924800 928000 936496 939250 944008 961792 972400 986000 995027 998470 1001600 1017250 1017280 1020800 1025440 1033175 1036750 1041664 1047625 1061632 1064200 1072768 1084600 1089530 1101760 1106768 1118975 1127984 1134625 1144000 1156000 1161856 1170620 1175941 1180010 1196800 1198483 1202240 1206400 1215500 1234472 1252000 1271600 1276000 1281800 1298011 1302080 1322464 1327040 1330250 1340960 1355750 1362176 1377200 1383460 1388288 1409980 1414400 1432288 1447312 1452320 1463275 1475056 1496000 1502800 1508000 1521806 1543090 1555840 1577600 1589500 1597552 1602250 1627600 1640704 1653080 1658800 1676200 1697399 1702720 1721500 1729325 1735360 1743248 1762475 1768000 1790360 1809140 1815400 1843820 1849600 1872992 1878500 1888016 1944800 1972000 1990054 1996940 2003200 2006017 2034500 2034560 2041600 2050880 2066350 2073500 2095250 2128400 2145536 2169200 2179060 2203520 2213536 2237950 2255968 2261425 2269250 2288000 2304775 2312000 2323712 2341240 2351882 2360020 2396966 2404480 2412800 2431000 2468944 2496175 2504000 2543200 2552000 2563600 2596022 2604160 2623253 2644928 2654080 2660500 2681920 2711500 2723825 2754400 2766920 2819960 2864576 2894624 2904640 2926550 2950025 2950112 2992000 3005600 3016000 3043612 3086180 3111680 3155200 3179000 3195104 3204500 3255200 3306160 3317600 3352400 3394798 3405440 3443000 3458650 3470720 3486496 3524950 3536000 3580720 3618280 3630800 3687640 3745984 3757000 3776032 3804515 3857725 3889600 3944000 3980108 3993880 4012034 4069000 4069120 4101760 4132700 4147000 4190500 4256800 4338400 4358120 4407040 4427072 4475900 4511936 4522850 4538500 4576000 4609550 4624000 4682480 4703764 4720040 4793932 4808960 4862000 4937888 4975135 4992350 5008000 5086400 5104000 5127200 5165875 5192044 5208320 5246506 5289856 5308160 5321000 5363840 5423000 5447650 5508800 5533840 5594875 5639920 5729152 5789248 5809280 5853100 5879705 5900050 5900224 5984000 5992415 6011200 6032000 6087224 6172360 6358000 6390208 6409000 6490055 6510400 6612320 6635200 6704800 6789596 6810880 6886000 6917300 6941440 6972992 7049900 7072000 7161440 7236560 7261600 7316375 7375280 7491968 7514000 7552064 7609030 7715450 7779200 7888000 7960216 7987760 8024068 8138000 8203520 8265400 8294000 8381000 8486995 8513600 8646625 8676800 8716240 8812375 8854144 8951800 9023872 9045700 9077000 9219100 9248000 9364960 9407528 9440080 9587864 9724000 9875776 9950270 9984700 10016000 10030085 10172800 10208000 10254400 10331750 10384088 10493012 10579712 10642000 10727680 10846000 10895300 11017600 11067680 11189750 11279840 11307125 11458304 11523875 11578496 11618560 11706200 11759410 11800100 11800448 11984830 12022400 12064000 12174448 12344720 12480875 12716000 12780416 12818000 12935351 12980110 13020800 13116265 13224640 13270400 13409600 13579192 13619125 13772000 13834600 13945984 14099800 14322880 14473120 14523200 14632750 14750125 14750560 14983936 15028000 15104128 15218060 15430900 15558400 15776000 15920432 15975520 16048136 16276000 16530800 16588000 16762000 16973990 17027200 17293250 17353600 17432480 17624750 17708288 17903600 18047744 18091400 18154000 18438200 18729920 18815056 18880160 19022575 19175728 19288625 19448000 19751552 19900540 19969400 20060170 20345600 20508800 20663500 20768176 20986024 21284000 21692000 21790600 22035200 22066187 22135360 22379500 22559680 22614250 23047750 23156992 23412400 23518820 23600200 23600896 23969660 24044800 24348896 24689440 24875675 24961750 25432000 25560832 25636000 25870702 25960220 26041600 26232530 26449280 26540800 26819200 27158384 27238250 27544000 27669200 27891968 28199600 28645760 28855783 28946240 29046400 29265500 29398525 29500250 29501120 29962075 30056000 30208256 30436120 30861800 31840864 31951040 32096272 32450275 32552000 33061600 33176000 33524000 33947980 34054400 34102289 34586500 34707200 34864960 35249500 35807200 36182800 36308000 36876400 37459840 37630112 37760320 38045150 38351456 38577250 38896000 39503104 39801080 39938800 40120340 41017600 41327000 41536352 41972048 42434975 42568000 43384000 43581200 44132374 44270720 44759000 45119360 45228500 46095500 46824800 47037640 47200400 47939320 48697792 49378880 49751350 49923500 50150425 50864000 51272000 51741404 51920440 52465060 52898560 53638400 54316768 54476500 55088000 55338400 56399200 57291520 57711566 57892480 58092800 58531000 58797050 59000500 59002240 59924150 60112000 60872240 61723600 63681728 63902080 64192544 64676755 64900550 65104000 65581325 66123200 66352000 67048000 67895960 68204578 69173000 69729920 70499000 71614400 72365600 72616000 73752800 74919680 75260224 75520640 76090300 76702912 77154500 77792000 79602160 79877600 80240680 82654000 83072704 83944096 84869950 85136000 86768000 87162400 88264748 88541440 89518000 90238720 90457000 92191000 93649600 94075280 94400800 95112875 95878640 97395584 98757760 99502700 99847000 100300850 101728000 102544000 103482808 103840880 104930120 108633536 108953000 110176000 110330935 110676800 112798400 115423132 115784960 117062000 117594100 118001000 118004480 119848300 120224000 121744480 123447200 124378375 127363456 127804160 128385088 129353510 129801100 130208000 131162650 132246400 132704000 134096000 135791920 136409156 138346000 139459840 140998000 143228800 144278915 144731200 145232000 146992625 147505600 149810375 150520448 151041280 152180600 153405824 154309000 159204320 159755200 160481360 162251375 165308000 166145408 167888192 169739900 170272000 170511445 173536000 174324800 176529496 179036000 180914000 184382000 187299200 188150560 188801600 190225750 191757280 194791168 197515520 199005400 199694000 200601700 205088000 206965616 207681760 209860240 212174875 217267072 217906000 220661870 221353600 225596800 230846264 234124000 235188200 236002000 239696600 243488960 246894400 248756750 250752125 254726912 256770176 258707020 259602200 262325300 264492800 268192000 271583840 272818312 276692000 281996000 286457600 288557830 289462400 290464000 293985250 295011200 299620750 301040896 304361200 306811648 308618000 318408640 319510400 320962720 323383775 324502750 327906625 330616000 332290816 335776384 339479800 341022890 348649600 353058992 358072000 361828000 368764000 374598400 375125179 376301120 377603200 380451500 383514560 398010800 399388000 401203400 413931232 415363520 419720480 424349750 434534144 435812000 441323740 442707200 451193600 461692528 468248000 470376400 472004000 479393200 486977920 493788800 497513500 501504250 513540352 517414040 519204400 524650600 543167680 545636624 551654675 553384000 563992000 577115660 578924800 587970500 590022400 599241500 608722400 617236000 636817280 639020800 641925440 646767550 649005500 655813250 661232000 671552768 678959600 682045780 697299200 706117984 716144000 721394575 723656000 737528000 750250358 752602240 755206400 760903000 767029120 796021600 798776000 802406800 827862464 830727040 839440960 848699500 852557225 871624000 882647480 923385056 936496000 940752800 944008000 958786400 973955840 987577600 995027000 1003008500 1034828080 1038408800 1049301200 1086335360 1091273248 1103309350 1106768000 1127984000 1154231320 1175941000 1198483000 1217444800 1234472000 1273634560 1283850880 1293535100 1298011000 1311626500 1322464000 1357919200 1364091560 1412235968 1432288000 1442789150 1447312000 1475056000 1500500716 1505204480 1521806000 1534058240 1592043200 1597552000 1604813600 1616918875 1655724928 1661454080 1678881920 1697399000 1705114450 1743248000 1765294960 1846770112 1872992000 1875625895 1881505600 1888016000 1917572800 1990054000 2006017000 2069656160 2076817600 2098602400 2172670720 2182546496 2206618700 2213536000 2255968000 2308462640 2351882000 2396966000 2434889600 2468944000 2567701760 2587070200 2596022000 2623253000 2715838400 2728183120 2758273375 2824471936 2885578300 2894624000 2950112000 3001001432 3043612000 3184086400 3195104000 3209627200 3233837750 3311449856 3357763840 3394798000 3410228900 3486496000 3530589920 3606972875 3693540224 3751251790 3763011200 3776032000 3835145600 3980108000 4012034000 4139312320 4153635200 4197204800 4262786125 4365092992 4413237400 4616925280 4703764000 4793932000 4869779200 4937888000 5174140400 5192044000 5246506000 5431676800 5456366240 5516546750 5648943872 5771156600 6002002864 6087224000 6368172800 6419254400 6467675500 6789596000 6820457800 7061179840 7213945750 7387080448 7502503580 7526022400 7670291200 7960216000 8024068000 8278624640 8307270400 8394409600 8525572250 8730185984 8826474800 9233850560 9378129475 9407528000 9587864000 10348280800 10384088000 10493012000 10863353600 10912732480 11033093500 11542313200 12004005728 12174448000 12838508800 12935351000 13579192000 13640915600 14122359680 14427891500 15005007160 15920432000 16048136000 16557249280 16788819200 17051144500 17652949600 18467701120 18756258950 18815056000 19175728000 20696561600 20768176000 20986024000 21825464960 22066187000 23084626400 24008011456 24348896000 25870702000 27158384000 27281831200 28244719360 28855783000 30010014320 31840864000 32096272000 34102289000 35305899200 36935402240 37512517900 37630112000 38351456000 41393123200 41536352000 41972048000 43650929920 44132374000 46169252800 46890647375 48016022912 51741404000 54316768000 54563662400 57711566000 60020028640 64192544000 68204578000 70611798400 75025035800 82786246400 83944096000 88264748000 92338505600 93781294750 96032045824 103482808000 109127324800 115423132000 120040057280 136409156000 141223596800 150050071600 176529496000 184677011200 187562589500 206965616000 218254649600 230846264000 240080114560 272818312000 300100143200 353058992000 375125179000 413931232000 461692528000 480160229120 545636624000 600200286400 706117984000 750250358000 923385056000 1091273248000 1200400572800 1500500716000 2400801145600 3001001432000 6002002864000 12004005728000
- Sum of all divisors σ(n): 38729693358720
- Sum of proper divisors (its aliquot sum) s(n): 26725687630720
- 12004005728000 is an abundant number, because the sum of its proper divisors (26725687630720) is greater than itself. Its abundance is 14721681902720
Bases of 12004005728000
- Binary: 101011101010111001100111111101001111000000002
- Hexadecimal: 0xAEAE67F4F00
- Base-36: 496KB2QRK
Squares and roots of 12004005728000
- 12004005728000 squared (120040057280002) is 144096153517856809984000000
- 12004005728000 cubed (120040057280003) is 1729731052211120497331743588352000000000
-
The
square root of 12004005728000 is 3464679.7439301659 -
The
cube root of 12004005728000 is 22896.8320198267
Scales and comparisons
How big is 12004005728000?- 12,004,005,728,000 seconds is equal to 381,690 years, 13 weeks, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 12,004,005,728,000 would take you about nine hundred fifty-four thousand, two hundred twenty-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 12004005728000 cubic inches would be around 1908.1 feet tall.
Recreational maths with 12004005728000
- 12004005728000 backwards is 00082750040021
- 12004005728000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12004005728000's digits is 29
- More coming soon!
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Numbermatics. (2024). Number 12004005728000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/12004005728000/
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The information we have on file for 12004005728000 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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