12090436419942400
12,090,436,419,942,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12090436419942400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1152 divisors.
12090436419942400 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 12090436419942400:
211 × 52 × 13 × 127 × 181 × 421 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 127 × 181 × 421 × 1877)See below for interesting mathematical facts about the number 12090436419942400 from the Numbermatics database.
Names of 12090436419942400
- Cardinal: 12090436419942400 can be written as Twelve quadrillion, ninety trillion, four hundred thirty-six billion, four hundred nineteen million, nine hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.20904364199424 × 1016
Factors of 12090436419942400
Divisors of 12090436419942400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 127 128 130 160 181 200 208 254 256 260 320 325 362 400 416 421 508 512 520 635 640 650 724 800 832 842 905 1016 1024 1040 1270 1280 1300 1448 1600 1651 1664 1684 1810 1877 2032 2048 2080 2105 2353 2540 2560 2600 2896 3175 3200 3302 3328 3368 3620 3754 4064 4160 4210 4525 4706 5080 5120 5200 5473 5792 6350 6400 6604 6656 6736 7240 7508 8128 8255 8320 8420 9050 9385 9412 10160 10240 10400 10525 10946 11584 11765 12700 12800 13208 13312 13472 14480 15016 16256 16510 16640 16840 18100 18770 18824 20320 20800 21050 21892 22987 23168 23530 24401 25400 25600 26416 26624 26944 27365 28960 30032 32512 33020 33280 33680 36200 37540 37648 40640 41275 41600 42100 43784 45974 46336 46925 47060 48802 50800 51200 52832 53467 53888 54730 57920 58825 60064 65024 66040 66560 67360 72400 75080 75296 76201 81280 82550 83200 84200 87568 91948 92672 93850 94120 97604 101600 105664 106934 107776 109460 114935 115840 117650 120128 122005 130048 132080 133120 134720 136825 144800 150160 150592 152402 162560 165100 166400 168400 175136 183896 185344 187700 188240 195208 203200 211328 213868 215552 218920 229870 231680 235300 238379 240256 244010 260096 264160 267335 269440 273650 289600 298831 300320 301184 304804 325120 330200 332800 336800 339737 350272 367792 370688 375400 376480 381005 390416 406400 422656 427736 431104 437840 459740 463360 470600 476758 480512 488020 528320 534670 538880 547300 574675 579200 597662 600640 602368 609608 610025 650240 660400 665600 673600 679474 695071 700544 735584 750800 752960 762010 780832 790217 812800 845312 855472 862208 875680 919480 926720 941200 953516 961024 976040 990613 1056640 1069340 1077760 1094600 1149350 1158400 1191895 1195324 1201280 1204736 1219216 1220050 1300480 1320800 1336675 1347200 1358948 1390142 1401088 1471168 1494155 1501600 1505920 1524020 1561664 1580434 1625600 1690624 1698685 1710944 1751360 1838960 1853440 1882400 1905025 1907032 1922048 1952080 1981226 2113280 2138680 2155520 2189200 2298700 2316800 2383790 2390648 2402560 2409472 2438432 2440100 2641600 2673350 2694400 2717896 2780284 2802176 2942336 2988310 3003200 3011840 3048040 3098927 3123328 3160868 3251200 3381248 3397370 3421888 3475355 3502720 3677920 3764800 3810050 3814064 3844096 3904160 3951085 3962452 4226560 4277360 4311040 4378400 4416581 4597400 4633600 4767580 4781296 4805120 4818944 4876864 4880200 4953065 5283200 5346700 5388800 5435792 5560568 5604352 5884672 5959475 5976620 6006400 6023680 6096080 6197854 6246656 6321736 6502400 6794740 6843776 6950710 7005440 7355840 7470775 7529600 7620100 7628128 7808320 7902170 7924904 8453120 8493425 8554720 8756800 8833162 9194800 9267200 9535160 9562592 9610240 9677527 9753728 9760400 9906130 10272821 10566400 10693400 10777600 10871584 11121136 11208704 11769344 11918950 11953240 12012800 12047360 12192160 12395708 12493312 12643472 13589480 13687552 13901420 14010880 14711680 14941550 15059200 15240200 15256256 15494635 15616640 15804340 15849808 16906240 16986850 17109440 17376775 17513600 17666324 18389600 19070320 19125184 19220480 19355054 19507456 19520800 19755425 19812260 20545642 21132800 21386800 21555200 21743168 22082905 22242272 23538688 23837900 23906480 24025600 24094720 24384320 24765325 24791416 24986624 25286944 27178960 27375104 27802840 28021760 29423360 29883100 30118400 30480400 30512512 30989270 31233280 31608680 31699616 33973700 34218880 34753550 35027200 35332648 36779200 38140640 38250368 38710108 39014912 39041600 39510850 39624520 41091284 42265600 42773600 43146599 43486336 44165810 44484544 47077376 47675800 47812960 48051200 48387635 48768640 49530650 49582832 49973248 50573888 51364105 54357920 54750208 55605680 56043520 58846720 59766200 60236800 60960800 61025024 61978540 62466560 63217360 63399232 67947400 68437760 69507100 70054400 70665296 73558400 76281280 76500736 77420216 77473175 78029824 78083200 79021700 79249040 82182568 84531200 85547200 86293198 86972672 88331620 88969088 95351600 95625920 96102400 96775270 97537280 99061300 99165664 100357559 101147776 102728210 108715840 109500416 110414525 111211360 117693440 119532400 120473600 121921600 122050048 123957080 124933120 125807851 126434720 126798464 135894800 136875520 139014200 140108800 141330592 143029277 147116800 152562560 153001472 154840432 154946350 156059648 156166400 158043400 158498080 164365136 171094400 172586396 173945344 176663240 177938176 190703200 191251840 193550540 195074560 198122600 198331328 200715118 202295552 205456420 215732995 217431680 220829050 222422720 235386880 239064800 241938175 243843200 244100096 247914160 249866240 251615702 252869440 253596928 256820525 271789600 273751040 278028400 280217600 282661184 286058554 294233600 305125120 306002944 309680864 309892700 312332800 316086800 316996160 328730272 342188800 345172792 347890688 353326480 355876352 381406400 382503680 387101080 390149120 396245200 396662656 401430236 404591104 410912840 431465990 434863360 441658100 444845440 478129600 483876350 487686400 488200192 495828320 501787795 503231404 505738880 507193856 513641050 543579200 547502080 556056800 560905787 565322368 572117108 588467200 610250240 612005888 619361728 619785400 624665600 629039255 632173600 633992320 657460544 684377600 690345584 695781376 706652960 711752704 715146385 762812800 765007360 774202160 780298240 792490400 793325312 802860472 809182208 821825680 862931980 869726720 883316200 889690880 956259200 967752700 975372800 991656640 1003575590 1006462808 1011477760 1014387712 1027282100 1078664975 1087158400 1112113600 1121811574 1130644736 1144234216 1176934400 1220500480 1238723456 1239570800 1249331200 1258078510 1264347200 1267984640 1304648267 1314921088 1368755200 1380691168 1413305920 1423505408 1430292770 1525625600 1530014720 1548404320 1584980800 1586650624 1605720944 1618364416 1643651360 1725863960 1739453440 1766632400 1779381760 1859380601 1912518400 1935505400 1950745600 1983313280 2007151180 2012925616 2022955520 2028775424 2054564200 2157329950 2174316800 2224227200 2243623148 2261289472 2288468432 2441000960 2477446912 2479141600 2508938975 2516157020 2528694400 2535969280 2609296534 2629842176 2737510400 2761382336 2804528935 2826611840 2860585540 3051251200 3060029440 3096808640 3145196275 3169961600 3173301248 3211441888 3287302720 3451727920 3478906880 3533264800 3558763520 3575731925 3718761202 3825036800 3871010800 3901491200 3966626560 4014302360 4025851232 4045911040 4109128400 4314659900 4348633600 4448454400 4487246296 4522578944 4576936864 4954893824 4958283200 5017877950 5032314040 5057388800 5071938560 5218593068 5259684352 5522764672 5609057870 5653223680 5721171080 6102502400 6193617280 6290392550 6339923200 6346602496 6422883776 6523241335 6574605440 6903455840 7066529600 7117527040 7151463850 7437522404 7650073600 7742021600 7933253120 8028604720 8051702464 8091822080 8218256800 8629319800 8697267200 8896908800 8974492592 9045157888 9153873728 9296903005 9909787648 9916566400 10035755900 10064628080 10114777600 10143877120 10437186136 10519368704 11045529344 11218115740 11306447360 11442342160 12205004800 12387234560 12580785100 12679846400 12845767552 13046482670 13149210880 13806911680 14022644675 14133059200 14302927700 14875044808 15300147200 15484043200 15866506240 16057209440 16103404928 16436513600 17258639600 17394534400 17793817600 17948985184 18164718179 18307747456 18593806010 19819575296 19833132800 20071511800 20129256160 20229555200 20874372272 21038737408 22091058688 22436231480 22612894720 22884684320 24774469120 25161570200 25359692800 25691535104 26092965340 26298421760 27613823360 28045289350 28266118400 28605855400 29750089616 30968086400 31733012480 32114418880 32206809856 32616206675 32873027200 34517279200 35587635200 35897970368 36329436358 36615494912 37187612020 39666265600 40143023600 40258512320 40459110400 41748744544 44182117376 44872462960 45225789440 45769368640 46484515025 49548938240 50323140400 50719385600 51383070208 52185930680 52596843520 55227646720 56090578700 56532236800 57211710800 59500179232 61936172800 64228837760 64413619712 65232413350 65746054400 69034558400 71795940736 72658872716 73230989824 74375224040 79332531200 80286047200 80517024640 83497489088 88364234752 89744925920 90823590895 91538737280 92969030050 99097876480 100646280800 102766140416 104371861360 105193687040 110455293440 112181157400 113064473600 114423421600 119000358464 123872345600 128457675520 128827239424 130464826700 131492108800 138069116800 143591881472 145317745432 146461979648 148750448080 158665062400 160572094400 161034049280 166994978176 179489851840 181647181790 183077474560 185938060100 201292561600 205532280832 208743722720 220910586880 224362314800 226128947200 228846843200 236141336327 238000716928 247744691200 256915351040 257654478848 260929653400 262984217600 276138233600 287183762944 290635490864 292923959296 297500896160 321144188800 322068098560 333989956352 358979703680 363294363580 366154949120 371876120200 402585123200 417487445440 441821173760 448724629600 454117954475 457693686400 472282672654 476001433856 495489382400 513830702080 521859306800 525968435200 552276467200 574367525888 581270981728 595001792320 642288377600 644136197120 667979912704 717959407360 726588727160 732309898240 743752240400 805170246400 834974890880 897449259200 908235908950 915387372800 944565345308 952002867712 1027661404160 1043718613600 1104552934400 1148735051776 1162541963456 1180706681635 1190003584640 1284576755200 1288272394240 1335959825408 1435918814720 1453177454320 1464619796480 1487504480800 1610340492800 1669949781760 1794898518400 1816471817900 1830774745600 1889130690616 1904005735424 2087437227200 2209105868800 2325083926912 2361413363270 2380007169280 2569153510400 2671919650816 2871837629440 2906354908640 2975008961600 3220680985600 3339899563520 3589797036800 3632943635800 3661549491200 3778261381232 3808011470848 4174874454400 4650167853824 4722826726540 4760014338560 5138307020800 5743675258880 5812709817280 5903533408175 5950017923200 6441361971200 6679799127040 7179594073600 7265887271600 7323098982400 7556522762464 8349748908800 9300335707648 9445653453080 9520028677120 11625419634560 11807066816350 11900035846400 13359598254080 14359188147200 14531774543200 15113045524928 16699497817600 18600671415296 18891306906160 19040057354240 23250839269120 23614133632700 23800071692800 28718376294400 29063549086400 30226091049856 33398995635200 37201342830592 37782613812320 46501678538240 47228267265400 47600143385600 58127098172800 60452182099712 66797991270400 75565227624640 93003357076480 94456534530800 95200286771200 116254196345600 120904364199424 151130455249280 186006714152960 188913069061600 232508392691200 241808728398848 302260910498560 377826138123200 465016785382400 483617456797696 604521820997120 755652276246400 930033570764800 1209043641994240 1511304552492800 2418087283988480 3022609104985600 6045218209971200 12090436419942400
- Sum of all divisors σ(n): 32812024876001280
- Sum of proper divisors (its aliquot sum) s(n): 20721588456058880
- 12090436419942400 is an abundant number, because the sum of its proper divisors (20721588456058880) is greater than itself. Its abundance is 8631152036116480
Bases of 12090436419942400
- Binary: 1010101111010000110000000101111111110101111000000000002
- Hexadecimal: 0x2AF43017FD7800
- Base-36: 3B1P9TAM6F4
Squares and roots of 12090436419942400
- 12090436419942400 squared (120904364199424002) is 146178652824669598124419317760000
- 12090436419942400 cubed (120904364199424003) is 1767363707929501293227542041945090266497024000000
-
The
square root of 12090436419942400 is 109956520.5885599129 -
The
cube root of 12090436419942400 is 229516.5422702703
Scales and comparisons
How big is 12090436419942400?- 12,090,436,419,942,400 seconds is equal to 384,438,479 years, 50 weeks, 6 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 12,090,436,419,942,400 would take you about one billion, one hundred fifty-three million, three hundred fifteen thousand, four hundred thirty-nine 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 12090436419942400 cubic inches would be around 19126.4 feet tall.
Recreational maths with 12090436419942400
- 12090436419942400 backwards is 00424991463409021
- The number of decimal digits it has is: 17
- The sum of 12090436419942400's digits is 58
- More coming soon!
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"Number 12090436419942400 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
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Numbermatics. (2024). Number 12090436419942400 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/12090436419942400/
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The information we have on file for 12090436419942400 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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