12137284972800
12,137,284,972,800 is an even composite number composed of seven prime numbers multiplied together.
12137284972800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 12137284972800:
28 × 32 × 52 × 13 × 41 × 61 × 6481
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 41 × 61 × 6481)See below for interesting mathematical facts about the number 12137284972800 from the Numbermatics database.
Names of 12137284972800
- Cardinal: 12137284972800 can be written as Twelve trillion, one hundred thirty-seven billion, two hundred eighty-four million, nine hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.21372849728 × 1013
Factors of 12137284972800
Divisors of 12137284972800
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 41 45 48 50 52 60 61 64 65 72 75 78 80 82 90 96 100 104 117 120 122 123 128 130 144 150 156 160 164 180 183 192 195 200 205 208 225 234 240 244 246 256 260 288 300 305 312 320 325 328 360 366 369 384 390 400 410 416 450 468 480 488 492 520 533 549 576 585 600 610 615 624 640 650 656 720 732 738 768 780 793 800 820 832 900 915 936 960 975 976 984 1025 1040 1066 1098 1152 1170 1200 1220 1230 1248 1280 1300 1312 1440 1464 1476 1525 1560 1586 1599 1600 1640 1664 1800 1830 1845 1872 1920 1950 1952 1968 2050 2080 2132 2196 2304 2340 2379 2400 2440 2460 2496 2501 2600 2624 2665 2745 2880 2925 2928 2952 3050 3075 3120 3172 3198 3200 3280 3328 3600 3660 3690 3744 3840 3900 3904 3936 3965 4100 4160 4264 4392 4575 4680 4758 4797 4800 4880 4920 4992 5002 5200 5248 5330 5490 5760 5850 5856 5904 6100 6150 6240 6344 6396 6400 6481 6560 7137 7200 7320 7380 7488 7503 7800 7808 7872 7930 7995 8200 8320 8528 8784 9150 9225 9360 9516 9594 9600 9760 9840 9984 10004 10400 10496 10660 10980 11520 11700 11712 11808 11895 12200 12300 12480 12505 12688 12792 12962 13120 13325 13725 14274 14400 14640 14760 14976 15006 15600 15616 15744 15860 15990 16400 16640 17056 17568 18300 18450 18720 19032 19188 19200 19443 19520 19680 19825 20008 20800 21320 21960 22509 23400 23424 23616 23790 23985 24400 24600 24960 25010 25376 25584 25924 26240 26650 27450 28548 28800 29280 29520 29952 30012 31200 31488 31720 31980 32405 32513 32800 34112 35136 35685 36600 36900 37440 37515 38064 38376 38886 39040 39360 39650 39975 40016 41600 42640 43920 45018 46800 46848 47232 47580 47970 48800 49200 49920 50020 50752 51168 51848 52480 53300 54900 57096 57600 58329 58560 59040 59475 60024 62400 62525 63440 63960 64810 65026 65600 68224 70272 71370 73200 73800 74880 75030 76128 76752 77772 78080 78720 79300 79950 80032 83200 84253 85280 87840 90036 93600 94464 95160 95940 97215 97539 97600 98400 100040 101504 102336 103696 106600 109800 112545 114192 116658 117120 118080 118950 119925 120048 124800 125050 126880 127920 129620 130052 131200 136448 140544 142740 146400 147600 149760 150060 152256 153504 155544 157440 158600 159900 160064 162025 162565 168506 170560 175680 178425 180072 187200 187575 190320 191880 194430 195078 195200 196800 200080 203008 204672 207392 213200 219600 225090 228384 233316 234240 236160 237900 239850 240096 249600 250100 252759 253760 255840 259240 260104 262400 265721 285480 291645 292617 292800 295200 300120 304512 307008 311088 317200 319800 320128 324050 325130 337012 341120 351360 356850 360144 374400 375150 380640 383760 388860 390156 390400 393600 395341 400160 409344 414784 421265 426400 439200 450180 456768 466632 472320 475800 479700 480192 486075 487695 500200 505518 507520 511680 518480 520208 531442 562725 570960 583290 585234 585600 590400 600240 609024 614016 622176 634400 639600 640256 648100 650260 674024 682240 702720 713700 720288 748800 750300 758277 761280 767520 777720 780312 787200 790682 797163 800320 812825 829568 842530 852800 878400 900360 913536 933264 951600 959400 960384 972150 975390 1000400 1011036 1015040 1023360 1036960 1040416 1062884 1125450 1141920 1166580 1170468 1171200 1180800 1186023 1200480 1228032 1244352 1263795 1268800 1279200 1296200 1300520 1328605 1348048 1427400 1440576 1458225 1463085 1500600 1516554 1522560 1535040 1555440 1560624 1581364 1594326 1600640 1625650 1659136 1685060 1705600 1756800 1800720 1827072 1866528 1903200 1918800 1920768 1944300 1950780 1976705 2000800 2022072 2046720 2073920 2080832 2106325 2125768 2250900 2283840 2333160 2340936 2361600 2372046 2391489 2400960 2438475 2488704 2527590 2537600 2558400 2592400 2601040 2657210 2696096 2854800 2881152 2916450 2926170 3001200 3033108 3045120 3070080 3110880 3121248 3162728 3188652 3201280 3251300 3370120 3411200 3454373 3513600 3558069 3601440 3733056 3791385 3806400 3837600 3888600 3901560 3953410 3985815 4001600 4044144 4147840 4161664 4212650 4251536 4501800 4567680 4666320 4681872 4744092 4782978 4801920 4876950 4977408 5055180 5075200 5116800 5139433 5184800 5202080 5314420 5392192 5709600 5762304 5832900 5852340 5930115 6002400 6066216 6140160 6221760 6242496 6318975 6325456 6377304 6502600 6643025 6740240 6908746 7116138 7202880 7315425 7466112 7582770 7612800 7675200 7777200 7803120 7906820 7971630 8003200 8088288 8295680 8323328 8425300 8503072 9003600 9135360 9332640 9363744 9488184 9565956 9603840 9753900 9883525 10110360 10233600 10278866 10363119 10369600 10404160 10628840 10784384 11419200 11665800 11704680 11860230 11957445 12004800 12132432 12443520 12484992 12637950 12650912 12754608 13005200 13286050 13480480 13817492 14232276 14405760 14630850 14932224 15165540 15225600 15350400 15418299 15554400 15606240 15813640 15943260 16006400 16176576 16208981 16850600 17006144 17271865 17790345 18007200 18665280 18727488 18956925 18976368 19131912 19507800 19767050 19929075 20220720 20557732 20726238 20739200 20808320 21257680 21568768 22838400 23331600 23409360 23720460 23914890 24009600 24264864 24887040 24969984 25275900 25301824 25509216 25697165 26010400 26572100 26960960 27634984 28464552 28811520 29261700 29650575 30331080 30700800 30836598 31089357 31108800 31212480 31627280 31886520 32353152 32417962 33701200 34012288 34543730 35580690 36014400 37330560 37454976 37913850 37952736 38263824 39015600 39534100 39858150 40441440 41115464 41452476 41478400 41616640 42515360 45676800 46254897 46663200 46818720 47440920 47829780 48019200 48529728 48626943 50551800 50603648 51018432 51394330 51815595 52020800 53144200 53921920 55269968 56929104 58523400 59301150 59787225 60662160 61673196 62178714 62217600 62424960 63254560 63773040 64706304 64835924 67402400 68024576 69087460 71161380 72028800 74661120 74909952 75827700 75905472 76527648 77091495 78031200 79068200 79716300 80882880 81044905 82230928 82904952 85030720 86359325 88951725 92509794 93326400 93637440 94881840 95659560 97059456 97253886 101103600 101207296 102036864 102788660 103631190 104041600 106288400 107843840 110539936 113858208 117046800 118602300 119574450 121324320 123346392 124357428 124435200 124849920 126509120 127546080 128485825 129671848 134804800 138174920 142322760 144057600 145880829 151655400 151810944 153055296 154182990 155446785 156062400 158136400 159432600 161765760 162089810 164461856 165809904 170061440 172718650 177903450 185019588 186652800 187274880 189763680 191319120 194118912 194507772 202207200 204073728 205577320 207262380 208083200 210716753 212576800 221079872 227716416 231274485 234093600 237204600 239148900 242648640 243134715 246692784 248714856 253018240 255092160 256971650 259077975 259343696 269609600 276349840 284645520 291761658 303310800 303621888 306110592 308365980 310893570 312124800 316272800 318865200 323531520 324179620 328923712 331619808 340122880 345437300 355806900 370039176 373305600 374549760 379527360 382638240 385457475 389015544 404414400 405224525 411154640 414524760 421433506 425153600 442159744 455432832 462548970 468187200 474409200 478297800 485297280 486269430 493385568 497429712 506036480 510184320 513943300 518155950 518687392 539219200 552699680 569291040 583523316 606621600 612221184 616731960 621787140 624249600 632150259 632545600 637730400 648359240 657847424 663239616 690874600 711613800 729404145 740078352 759054720 765276480 770914950 777233925 778031088 808828800 810449050 822309280 829049520 842867012 850307200 884319488 910865664 925097940 936374400 948818400 956595600 970594560 972538860 986771136 994859424 1020368640 1027886600 1036311900 1037374784 1053583765 1105399360 1138582080 1156372425 1167046632 1213243200 1215673575 1233463920 1243574280 1264300518 1265091200 1275460800 1296718480 1315694848 1326479232 1381749200 1423227600 1458808290 1480156704 1518109440 1530552960 1541829900 1554467850 1556062176 1617657600 1620898100 1644618560 1658099040 1685734024 1700614400 1850195880 1872748800 1896450777 1897636800 1913191200 1945077720 1973542272 1989718848 2055773200 2072623800 2074749568 2107167530 2210798720 2277164160 2312744850 2334093264 2426486400 2431347150 2466927840 2487148560 2528601036 2530182400 2550921600 2593436960 2652958464 2763498400 2846455200 2917616580 2960313408 3061105920 3083659800 3108935700 3112124352 3160751295 3241796200 3289237120 3316198080 3371468048 3647020725 3700391760 3792901554 3795273600 3826382400 3890155440 3947084544 3979437696 4111546400 4145247600 4149499136 4214335060 4421597440 4554328320 4625489700 4668186528 4852972800 4862694300 4933855680 4974297120 5057202072 5101843200 5186873920 5267918825 5526996800 5692910400 5835233160 5920626816 6167319600 6217871400 6224248704 6321502590 6483592400 6578474240 6632396160 6742936096 7294041450 7400783520 7585803108 7590547200 7652764800 7780310880 7958875392 8223092800 8290495200 8428670120 9250979400 9336373056 9482253885 9725388600 9867711360 9948594240 10114404144 10373747840 10535837650 11053993600 11385820800 11670466320 11841253632 12334639200 12435742800 12448497408 12643005180 12967184800 13264792320 13485872192 14588082900 14801567040 15171606216 15305529600 15560621760 15803756475 16446185600 16580990400 16857340240 18501958800 18672746112 18964507770 19450777200 19735422720 19897188480 20228808288 20747495680 21071675300 22107987200 22771641600 23340932640 24669278400 24871485600 25286010360 25934369600 26971744384 29176165800 29603134080 30343212432 31121243520 31607512950 32892371200 33161980800 33714680480 37003917600 37345492224 37929015540 38901554400 39794376960 40457616576 42143350600 46681865280 47411269425 49338556800 49742971200 50572020720 51868739200 53943488768 58352331600 59206268160 60686424864 62242487040 63215025900 66323961600 67429360960 74007835200 75858031080 77803108800 80915233152 84286701200 93363730560 94822538850 98677113600 99485942400 101144041440 103737478400 116704663200 121372849728 126430051800 134858721920 148015670400 151716062160 155606217600 161830466304 168573402400 186727461120 189645077700 198971884800 202288082880 233409326400 242745699456 252860103600 269717443840 296031340800 303432124320 311212435200 337146804800 379290155400 404576165760 466818652800 485491398912 505720207200 606864248640 674293609600 758580310800 809152331520 933637305600 1011440414400 1213728497280 1348587219200 1517160621600 2022880828800 2427456994560 3034321243200 4045761657600 6068642486400 12137284972800
- Sum of all divisors σ(n): 48663572529936
- Sum of proper divisors (its aliquot sum) s(n): 36526287557136
- 12137284972800 is an abundant number, because the sum of its proper divisors (36526287557136) is greater than itself. Its abundance is 24389002584336
Bases of 12137284972800
- Binary: 101100001001111011101000111100110001000000002
- Hexadecimal: 0xB09EE8F3100
- Base-36: 4AVSI3I80
Squares and roots of 12137284972800
- 12137284972800 squared (121372849728002) is 147313686510956696739840000
- 12137284972800 cubed (121372849728003) is 1787988193577204777891986783076352000000
-
The
square root of 12137284972800 is 3483860.6419889989 -
The
cube root of 12137284972800 is 22981.2607115793
Scales and comparisons
How big is 12137284972800?- 12,137,284,972,800 seconds is equal to 385,928 years, 6 weeks, 1 day, 8 hours.
-
To count from 1 to 12,137,284,972,800 would take you about nine hundred sixty-four thousand, eight hundred twenty 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 12137284972800 cubic inches would be around 1915.1 feet tall.
Recreational maths with 12137284972800
- 12137284972800 backwards is 00827948273121
- The number of decimal digits it has is: 14
- The sum of 12137284972800'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 12137284972800 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 12137284972800 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/12137284972800/
Chicago style:
Numbermatics. 2024. "Number 12137284972800 - Facts about the integer". https://numbermatics.com/n/12137284972800/
The information we have on file for 12137284972800 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 12137284972800, math, Factors of 12137284972800, curriculum, school, college, exams, university, Prime factorization of 12137284972800, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, one hundred thirty-seven billion, two hundred eighty-four million, nine hundred seventy-two thousand, eight hundred.