12006771516828000
12,006,771,516,828,000 is an even composite number composed of six prime numbers multiplied together.
12006771516828000 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 12006771516828000:
25 × 33 × 53 × 112 × 61 × 38812
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 61 × 3881 × 3881)See below for interesting mathematical facts about the number 12006771516828000 from the Numbermatics database.
Names of 12006771516828000
- Cardinal: 12006771516828000 can be written as Twelve quadrillion, six trillion, seven hundred seventy-one billion, five hundred sixteen million, eight hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.2006771516828 × 1016
Factors of 12006771516828000
Divisors of 12006771516828000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 61 66 72 75 80 88 90 96 99 100 108 110 120 121 122 125 132 135 144 150 160 165 176 180 183 198 200 216 220 225 240 242 244 250 264 270 275 288 297 300 305 330 352 360 363 366 375 396 400 432 440 450 480 484 488 495 500 528 540 549 550 594 600 605 610 660 671 675 720 726 732 750 792 800 825 864 880 900 915 968 976 990 1000 1056 1080 1089 1098 1100 1125 1188 1200 1210 1220 1320 1342 1350 1375 1440 1452 1464 1485 1500 1525 1584 1647 1650 1760 1800 1815 1830 1936 1952 1980 2000 2013 2160 2178 2196 2200 2250 2376 2400 2420 2440 2475 2640 2684 2700 2745 2750 2904 2928 2970 3000 3025 3050 3168 3267 3294 3300 3355 3375 3600 3630 3660 3872 3881 3960 4000 4026 4125 4320 4356 4392 4400 4500 4575 4752 4840 4880 4950 5280 5368 5400 5445 5490 5500 5808 5856 5940 6000 6039 6050 6100 6534 6588 6600 6710 6750 7200 7260 7320 7381 7425 7625 7762 7920 8052 8235 8250 8712 8784 8800 9000 9075 9150 9504 9680 9760 9900 10065 10736 10800 10890 10980 11000 11616 11643 11880 12000 12078 12100 12200 12375 13068 13176 13200 13420 13500 13725 14520 14640 14762 14850 15125 15250 15524 15840 16104 16335 16470 16500 16775 17424 17568 18000 18117 18150 18300 19360 19405 19800 20130 21472 21600 21780 21960 22000 22143 22875 23286 23760 24156 24200 24400 24750 26136 26352 26400 26840 27000 27225 27450 29040 29280 29524 29700 30195 30250 30500 31048 32208 32670 32940 33000 33550 34848 34929 36000 36234 36300 36600 36905 37125 38810 39600 40260 41175 42691 43560 43920 44000 44286 45375 45750 46572 47520 48312 48400 48800 49500 50325 52272 52704 53680 54000 54450 54900 58080 58215 59048 59400 60390 60500 61000 62096 64416 65340 65880 66000 66429 67100 68625 69858 72468 72600 73200 73810 74250 77620 79200 80520 81675 82350 83875 85382 87120 87840 88572 90585 90750 91500 93144 96624 96800 97025 99000 100650 104544 104787 107360 108000 108900 109800 110715 116430 118096 118800 120780 121000 122000 124192 128073 130680 131760 132000 132858 134200 136125 137250 139716 144936 145200 146400 147620 148500 150975 155240 161040 163350 164700 167750 170764 174240 174645 177144 181170 181500 183000 184525 186288 193248 194050 198000 199287 201300 205875 209574 213455 217800 219600 221430 232860 236192 236741 237600 241560 242000 244000 251625 256146 261360 263520 265716 268400 272250 274500 279432 289872 290400 291075 295240 297000 301950 310480 322080 326700 329400 332145 335500 341528 349290 354288 362340 363000 366000 369050 372576 384219 388100 396000 398574 402600 408375 411750 419148 426910 435600 439200 442860 452925 465720 469601 473482 483120 484000 485125 503250 512292 522720 523935 531432 536800 544500 549000 553575 558864 579744 582150 590480 594000 603900 620960 640365 653400 658800 664290 671000 683056 698580 708576 710223 724680 726000 732000 738100 754875 768438 776200 797148 805200 816750 823500 838296 853820 871200 873225 885720 905850 922625 931440 939202 946964 966240 970250 996435 1006500 1024584 1047870 1062864 1067275 1089000 1098000 1107150 1117728 1152657 1164300 1180960 1183705 1188000 1207800 1280730 1306800 1317600 1328580 1342000 1366112 1397160 1408803 1420446 1449360 1452000 1455375 1476200 1509750 1536876 1552400 1594296 1610400 1633500 1647000 1660725 1676592 1707640 1746450 1771440 1811700 1845250 1862880 1878404 1893928 1921095 1940500 1992870 2013000 2049168 2095740 2125728 2130669 2134550 2178000 2196000 2214300 2264625 2305314 2328600 2348005 2367410 2415600 2561460 2604151 2613600 2619675 2657160 2684000 2767875 2794320 2817606 2840892 2898720 2910750 2952400 3019500 3073752 3104800 3188592 3201825 3267000 3294000 3321450 3353184 3415280 3492900 3542880 3551115 3623400 3690500 3756808 3787856 3842190 3881000 3985740 4026000 4098336 4191480 4226409 4261338 4269100 4356000 4366125 4428600 4529250 4610628 4657200 4696010 4734820 4831200 4982175 5122920 5208302 5239350 5314320 5336375 5535750 5588640 5635212 5681784 5763285 5821500 5904800 5918525 6039000 6147504 6377184 6392007 6403650 6534000 6588000 6642900 6830560 6985800 7044015 7102230 7246800 7381000 7513616 7575712 7684380 7762000 7812453 7971480 8052000 8303625 8382960 8452818 8522676 8538200 8732250 8857200 9058500 9221256 9314400 9392020 9469640 9605475 9964350 10245840 10416604 10478700 10628640 10653345 10672750 11071500 11270424 11363568 11526570 11643000 11740025 11837050 12078000 12295008 12679227 12784014 12807300 13020755 13068000 13098375 13285800 13971600 14088030 14204460 14493600 14762000 15027232 15062161 15368760 15524000 15624906 15942960 16009125 16607250 16765920 16905636 17045352 17076400 17464500 17714400 17755575 18117000 18442512 18784040 18939280 19210950 19928700 20491680 20833208 20957400 21132045 21306690 21345500 22143000 22540848 22727136 23053140 23286000 23437359 23480050 23674100 24156000 24910875 25358454 25568028 25614600 26041510 26196750 26571600 27943200 28176060 28408920 28645661 28816425 29524000 29592625 30124322 30737520 31249812 31885920 31960035 32018250 33214500 33811272 34090704 34152800 34929000 35220075 35511150 36234000 36885024 37568080 37878560 38421900 39062265 39857400 41666416 41914800 42264090 42613380 42691000 44286000 45081696 45186483 46106280 46572000 46874718 46960100 47348200 48027375 49821750 50716908 51136056 51229200 52083020 52393500 53143200 53266725 56352120 56817840 57291322 57632850 58700125 59185250 60248644 61475040 62499624 63396135 63920070 64036500 65103775 66429000 67622544 68181408 69858000 70312077 70440150 71022300 72468000 75136160 75310805 76843800 78124530 79714800 83332832 83829600 84528180 85226760 85382000 85936983 88572000 88777875 90372966 92212560 93749436 93920200 94696400 96054750 99643500 101433816 102272112 102458400 104166040 104787000 105660225 106533450 112704240 113635680 114582644 115265700 117186795 117400250 118370500 120497288 124999248 126792270 127840140 128073000 130207550 132858000 135245088 135559449 139716000 140624154 140880300 142044600 143228305 144082125 150621610 153687600 156249060 159429600 159800175 165683771 169056360 170453520 170764000 171873966 176100375 177555750 180745932 184425120 187498872 187840400 189392800 192109500 195311325 199287000 202867632 204544224 208332080 209574000 211320450 213066900 225408480 225932415 229165288 230531400 234373590 234800500 236741000 240994576 249998496 253584540 255680280 256146000 257810949 260415100 265716000 266333625 271118898 281248308 281760600 284089200 286456610 288164250 301243220 307375200 312498120 316980675 319600350 325518875 331367542 338112720 340907040 343747932 351560385 352200750 355111500 361491864 374997744 375680800 376554025 384219000 390622650 398574000 405735264 406678347 416664160 419148000 422640900 426133800 429684915 451864830 458330576 461062800 468747180 469601000 473482000 481989152 497051313 507169080 511360560 512292000 515621898 520830200 528301125 532667250 542237796 562496616 563521200 568178400 572913220 576328500 585933975 602486440 624996240 633961350 639200700 651037750 662735084 676225440 677797245 687495864 703120770 704401500 710223000 716141525 722983728 749995488 753108050 768438000 773432847 781245300 797148000 799000875 813356694 828418855 845281800 852267600 859369830 903729660 916661152 918791821 922125600 937494360 939202000 946964000 976556625 994102626 1014338160 1022721120 1031243796 1041660400 1056602250 1065334500 1084475592 1124993232 1127042400 1129662075 1145826440 1152657000 1171867950 1204972880 1249992480 1267922700 1278401400 1289054745 1302075500 1325470168 1355594490 1374991728 1406241540 1408803000 1420446000 1432283050 1445967456 1491153939 1506216100 1536876000 1546865694 1562490600 1584903375 1598001750 1626713388 1656837710 1690563600 1704535200 1718739660 1757801925 1807459320 1822521481 1837583642 1874988720 1878404000 1882770125 1953113250 1988205252 2028676320 2033391735 2062487592 2083320800 2113204500 2130669000 2148424575 2168951184 2249986464 2259324150 2291652880 2305314000 2343735900 2409945760 2485256565 2535845400 2556802800 2578109490 2604151000 2650940336 2711188980 2749983456 2756375463 2812483080 2817606000 2840892000 2864566100 2929669875 2982307878 3012432200 3093731388 3124981200 3169806750 3196003500 3253426776 3313675420 3381127200 3388986225 3437479320 3515603850 3580707625 3614918640 3645042962 3675167284 3749977440 3765540250 3867164235 3906226500 3976410504 4066783470 4124975184 4142094275 4226409000 4261338000 4296849150 4337902368 4473461817 4518648300 4583305760 4593959105 4610628000 4687471800 4970513130 5071690800 5113605600 5156218980 5208302000 5301880672 5422377960 5467564443 5512750926 5624966160 5635212000 5648310375 5729132200 5859339750 5964615756 6024864400 6187462776 6249962400 6339613500 6392007000 6445273725 6506853552 6627350840 6777972450 6874958640 7031207700 7161415250 7229837280 7290085924 7350334568 7455769695 7531080500 7734328470 7812453000 7952821008 8133566940 8249950368 8269126389 8284188550 8452818000 8522676000 8593698300 8789009625 8946923634 9037296600 9112607405 9187918210 9374943600 9941026260 10106710031 10143381600 10166958675 10312437960 10416604000 10742122875 10844755920 10935128886 11025501852 11249932320 11296620750 11458264400 11718679500 11929231512 12049728800 12374925552 12426282825 12679227000 12784014000 12890547450 13013707104 13254701680 13555944900 13749917280 13781877315 14062415400 14322830500 14580171848 14700669136 14911539390 15062161000 15468656940 15624906000 15905642016 16267133880 16402693329 16538252778 16568377100 16905636000 16944931125 17187396600 17578019250 17893847268 18074593200 18225214810 18375836420 18749887200 19335821175 19882052520 20213420062 20333917350 20624875920 20710471375 21484245750 21689511840 21870257772 22051003704 22367309085 22593241500 22916528800 22969795525 23437359000 23858463024 24749851104 24807379167 24852565650 25358454000 25568028000 25781094900 26509403360 27111889800 27337822215 27563754630 28124830800 28645661000 29160343696 29401338272 29823078780 30124322000 30320130093 30937313880 31249812000 32226368625 32534267760 32805386658 33076505556 33136754200 33889862250 34374793200 35156038500 35787694536 36149186400 36450429620 36751672840 37278848475 38671642350 39764105040 40426840124 40667834700 41249751840 41345631945 41420942750 42968491500 43740515544 44102007408 44734618170 45186483000 45563037025 45939591050 46874718000 47716926048 49208079987 49614758334 49705131300 50533550155 50716908000 50834793375 51562189800 54223779600 54675644430 55127509260 56249661600 57291322000 58320687392 59646157560 60248644000 60640260186 61874627760 62131414125 64452737250 65068535520 65610773316 66153011112 66273508400 67779724500 68749586400 68909386575 70312077000 71575389072 72900859240 73503345680 74557696950 77343284700 79528210080 80853680248 81335669400 82013466645 82691263890 82841885500 85936983000 87481031088 88204014816 89469236340 90372966000 90960390279 91126074050 91879182100 93749436000 96679105875 98416159974 99229516668 99410262600 101067100310 101669586750 103124379600 108447559200 109351288860 110255018520 111173810341 111836545425 114582644000 114848977625 119292315120 121280520372 123749255520 124036895835 124262828250 128905474500 131221546632 132306022224 132547016800 135559449000 136689111075 137818773150 140624154000 143150778144 145801718480 147006691360 149115393900 151600650465 154686569400 161707360496 162671338800 164026933290 165382527780 165683771000 171873966000 174962062176 178938472680 180745932000 181920780558 182252148100 183758364200 186394242375 193358211750 196832319948 198459033336 198820525200 202134200620 203339173500 206248759200 206728159725 218702577720 220510037040 222347620682 223673090850 227815185125 229697955250 238584630240 242561040744 246040399935 248073791670 248525656500 252667750775 257810949000 262443093264 264612044448 271118898000 272881170837 273378222150 275637546300 281248308000 291603436960 298230787800 303201300930 309373138800 323414720992 325342677600 328053866580 330765055560 331367542000 333521431023 343747932000 344546932875 357876945360 363841561116 364504296200 367516728400 372788484750 386716423500 393664639896 396918066672 397641050400 404268401240 406678347000 410067333225 413456319450 437405155440 441020074080 444695241364 447346181700 454801951395 455630370250 459395910500 485122081488 492080799870 496147583340 497051313000 505335501550 515621898000 524886186528 542237796000 545762341674 546756444300 551275092600 555869051705 559182727125 596461575600 606402601860 618746277600 620184479175 656107733160 661530111120 662735084000 667042862046 683445555375 689093865750 715753890720 727683122232 729008592400 735033456800 745576969500 758003252325 773432847000 787329279792 793836133344 808536802480 813356694000 820134666450 826912638900 874810310880 889390482728 894692363400 909603902790 911260740500 918791821000 970244162976 984161599740 992295166680 994102626000 1000564293069 1010671003100 1031243796000 1033640798625 1091524683348 1093512888600 1102550185200 1111738103410 1118365454250 1192923151200 1212805203720 1230201999675 1240368958350 1263338753875 1312215466320 1323060222240 1334085724092 1364405854185 1366891110750 1378187731500 1455366244464 1458017184800 1491153939000 1516006504650 1546865694000 1574658559584 1617073604960 1626713388000 1640269332900 1653825277800 1667607155115 1778780965456 1789384726800 1819207805580 1822521481000 1837583642000 1968323199480 1984590333360 1988205252000 2001128586138 2021342006200 2050336666125 2067281597250 2183049366696 2187025777200 2205100370400 2223476206820 2236730908500 2274009756975 2425610407440 2460403999350 2480737916700 2526677507750 2624430932640 2668171448184 2728811708370 2733782221500 2756375463000 2779345258525 2910732488928 2982307878000 3001692879207 3032013009300 3093731388000 3100922395875 3280538665800 3307650555600 3335214310230 3557561930912 3578769453600 3638415611160 3645042962000 3675167284000 3790016261625 3936646398960 3969180666720 4002257172276 4042684012400 4100673332250 4134563194500 4366098733392 4374051554400 4446952413640 4473461817000 4548019513950 4851220814880 4920807998700 4961475833400 5002821465345 5053355015500 5336342896368 5457623416740 5467564443000 5512750926000 5558690517050 5964615756000 6003385758414 6064026018600 6151009998375 6201844791750 6561077331600 6615301111200 6670428620460 6822029270925 7276831222320 7290085924000 7580032523250 7873292797920 8004514344552 8085368024800 8201346664500 8269126389000 8338035775575 8732197466784 8893904827280 8946923634000 9096039027900 9841615997400 9922951666800 10005642930690 10106710031000 10672685792736 10915246833480 10935128886000 11025501852000 11117381034100 11370048784875 12006771516828 12128052037200 12302019996750 12403689583500 13122154663200 13340857240920 13644058541850 13896726292625 14553662444640 15008464396035 15160065046500 16009028689104 16402693329000 16538252778000 16676071551150 17787809654560 17893847268000 18192078055800 19683231994800 19845903333600 20011285861380 20213420062000 21830493666960 21870257772000 22234762068200 22740097569750 24013543033656 24256104074400 24604039993500 24807379167000 25014107326725 26681714481840 27288117083700 27793452585250 30016928792070 30320130093000 32018057378208 32805386658000 33076505556000 33352143102300 34110146354625 36384156111600 39366463989600 40022571722760 40426840124000 41690178877875 43660987333920 44469524136400 45480195139500 48027086067312 49208079987000 49614758334000 50028214653450 53363428963680 54576234167400 55586905170500 60033857584140 60640260186000 65610773316000 66704286204600 68220292709250 72768312223200 75042321980175 80045143445520 83380357755750 88939048272800 90960390279000 96054172134624 98416159974000 99229516668000 100056429306900 109152468334800 111173810341000 120067715168280 121280520372000 125070536633625 133408572409200 136440585418500 150084643960350 160090286891040 166760715511500 181920780558000 196832319948000 200112858613800 218304936669600 222347620682000 240135430336560 250141073267250 266817144818400 272881170837000 300169287920700 333521431023000 363841561116000 375211609900875 400225717227600 444695241364000 480270860673120 500282146534500 545762341674000 600338575841400 667042862046000 750423219801750 800451434455200 1000564293069000 1091524683348000 1200677151682800 1334085724092000 1500846439603500 2001128586138000 2401354303365600 3001692879207000 4002257172276000 6003385758414000 12006771516828000
- Sum of all divisors σ(n): 48839102248023360
- Sum of proper divisors (its aliquot sum) s(n): 36832330731195360
- 12006771516828000 is an abundant number, because the sum of its proper divisors (36832330731195360) is greater than itself. Its abundance is 24825559214367360
Bases of 12006771516828000
- Binary: 1010101010100000011000010101110010100011101001011000002
- Hexadecimal: 0x2AA8185728E960
- Base-36: 3A81MORGRC0
Squares and roots of 12006771516828000
- 12006771516828000 squared (120067715168280002) is 144162562257312151887181584000000
- 12006771516828000 cubed (120067715168280003) is 1730926946304038809548731950053547695552000000000
-
The
square root of 12006771516828000 is 109575414.7463198059 -
The
cube root of 12006771516828000 is 228985.9040339077
Scales and comparisons
How big is 12006771516828000?- 12,006,771,516,828,000 seconds is equal to 381,778,194 years, 44 weeks, 2 days, 6 hours.
-
To count from 1 to 12,006,771,516,828,000 would take you about one billion, one hundred forty-five million, three hundred thirty-four thousand, five hundred eighty-four 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 12006771516828000 cubic inches would be around 19082.2 feet tall.
Recreational maths with 12006771516828000
- 12006771516828000 backwards is 00082861517760021
- 12006771516828000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12006771516828000's digits is 54
- 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 12006771516828000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
APA style:
Numbermatics. (2024). Number 12006771516828000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/12006771516828000/
Chicago style:
Numbermatics. 2024. "Number 12006771516828000 - Facts about the integer". https://numbermatics.com/n/12006771516828000/
The information we have on file for 12006771516828000 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 12006771516828000, math, Factors of 12006771516828000, curriculum, school, college, exams, university, Prime factorization of 12006771516828000, STEM, science, technology, engineering, physics, economics, calculator, twelve quadrillion, six trillion, seven hundred seventy-one billion, five hundred sixteen million, eight hundred twenty-eight thousand.