12984018138112000
12,984,018,138,112,000 is an even composite number composed of five prime numbers multiplied together.
12984018138112000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 12984018138112000:
213 × 53 × 7 × 233 × 533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 23 × 23 × 23 × 53 × 53 × 53)See below for interesting mathematical facts about the number 12984018138112000 from the Numbermatics database.
Names of 12984018138112000
- Cardinal: 12984018138112000 can be written as Twelve quadrillion, nine hundred eighty-four trillion, eighteen billion, one hundred thirty-eight million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 1.2984018138112 × 1016
Factors of 12984018138112000
Divisors of 12984018138112000
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 53 56 64 70 80 92 100 106 112 115 125 128 140 160 161 175 184 200 212 224 230 250 256 265 280 320 322 350 368 371 400 424 448 460 500 512 529 530 560 575 640 644 700 736 742 800 805 848 875 896 920 1000 1024 1058 1060 1120 1150 1219 1280 1288 1325 1400 1472 1484 1600 1610 1696 1750 1792 1840 1855 2000 2048 2116 2120 2240 2300 2438 2560 2576 2645 2650 2800 2809 2875 2944 2968 3200 3220 3392 3500 3584 3680 3703 3710 4000 4025 4096 4232 4240 4480 4600 4876 5120 5152 5290 5300 5600 5618 5750 5888 5936 6095 6400 6440 6625 6784 7000 7168 7360 7406 7420 8000 8050 8192 8464 8480 8533 8960 9200 9275 9752 10240 10304 10580 10600 11200 11236 11500 11776 11872 12167 12190 12800 12880 13225 13250 13568 14000 14045 14336 14720 14812 14840 16000 16100 16928 16960 17066 17920 18400 18515 18550 19504 19663 20125 20480 20608 21160 21200 22400 22472 23000 23552 23744 24334 24380 25600 25760 26450 26500 27136 28000 28037 28090 28672 29440 29624 29680 30475 32000 32200 33856 33920 34132 35840 36800 37030 37100 39008 39326 40250 40960 41216 42320 42400 42665 44800 44944 46000 46375 47104 47488 48668 48760 51200 51520 52900 53000 54272 56000 56074 56180 57344 58880 59248 59360 60835 60950 64000 64400 64607 66125 67712 67840 68264 70225 71680 73600 74060 74200 78016 78652 80500 82432 84640 84800 85169 85330 89600 89888 92000 92575 92750 94208 94976 97336 97520 98315 102400 103040 105800 106000 108544 112000 112148 112360 117760 118496 118720 121670 121900 128000 128800 129214 132250 135424 135680 136528 140185 140450 143360 147200 148120 148400 148877 152375 156032 157304 161000 164864 169280 169600 170338 170660 179200 179776 184000 185150 185500 188416 189952 194672 195040 196259 196630 204800 206080 211600 212000 213325 217088 224000 224296 224720 235520 236992 237440 243340 243800 256000 257600 258428 264500 270848 271360 273056 280370 280900 286720 294400 296240 296800 297754 304175 304750 312064 314608 322000 323035 329728 338560 339200 340676 341320 351125 358400 359552 368000 370300 371000 379904 389344 390080 392518 393260 412160 423200 424000 425845 426650 434176 448000 448592 449440 452249 462875 471040 473984 474880 486680 487600 491575 512000 515200 516856 529000 541696 542720 546112 560740 561800 588800 592480 593600 595508 608350 609500 624128 629216 644000 644851 646070 659456 677120 678400 681352 682640 700925 702250 716800 719104 736000 740600 742000 744385 759808 778688 780160 785036 786520 824320 846400 848000 851690 853300 896000 897184 898880 904498 925750 942080 947968 949760 973360 975200 981295 983150 1024000 1030400 1033712 1042139 1058000 1066625 1083392 1085440 1092224 1121480 1123600 1177600 1184960 1187200 1191016 1216700 1219000 1248256 1258432 1288000 1289702 1292140 1318912 1354240 1356800 1362704 1365280 1401850 1404500 1433600 1438208 1472000 1481200 1484000 1485961 1488770 1519616 1520875 1557376 1560320 1570072 1573040 1615175 1648640 1692800 1696000 1703380 1706600 1792000 1794368 1797760 1808996 1851500 1895936 1899520 1946720 1950400 1962590 1966300 2060800 2067424 2084278 2116000 2129225 2133250 2166784 2170880 2184448 2242960 2247200 2261245 2355200 2369920 2374400 2382032 2433400 2438000 2457875 2496512 2516864 2576000 2579404 2584280 2708480 2713600 2725408 2730560 2803700 2809000 2876416 2944000 2962400 2968000 2971922 2977540 3039232 3041750 3114752 3120640 3140144 3146080 3224255 3230350 3297280 3385600 3392000 3406760 3413200 3424171 3504625 3584000 3588736 3595520 3617992 3703000 3721925 3791872 3799040 3893440 3900800 3925180 3932600 4121600 4134848 4168556 4232000 4258450 4266500 4333568 4368896 4485920 4494400 4513957 4522490 4710400 4739840 4748800 4764064 4866800 4876000 4906475 4915750 4993024 5033728 5152000 5158808 5168560 5210695 5416960 5427200 5450816 5461120 5607400 5618000 5752832 5888000 5924800 5936000 5943844 5955080 6083500 6229504 6241280 6280288 6292160 6448510 6460700 6594560 6771200 6784000 6813520 6826400 6848342 7009250 7168000 7177472 7191040 7235984 7406000 7429805 7443850 7583744 7598080 7786880 7801600 7850360 7865200 8075875 8243200 8269696 8337112 8464000 8516900 8533000 8737792 8971840 8988800 9027914 9044980 9479680 9497600 9528128 9733600 9752000 9812950 9831500 9986048 10067456 10304000 10317616 10337120 10401727 10421390 10646125 10833920 10854400 10901632 10922240 11214800 11236000 11306225 11505664 11776000 11849600 11872000 11887688 11910160 12167000 12459008 12482560 12560576 12584320 12897020 12921400 13542400 13568000 13627040 13652800 13696684 14018500 14354944 14382080 14471968 14812000 14859610 14887700 15167488 15196160 15573760 15603200 15700720 15730400 16121275 16151750 16486400 16539392 16674224 16928000 17033800 17066000 17120855 17475584 17943680 17977600 18055828 18089960 18609625 18959360 18995200 19056256 19467200 19504000 19625900 19663000 20134912 20608000 20635232 20674240 20803454 20842780 21292250 21667840 21803264 21844480 22429600 22472000 22569785 22612450 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88206644960 90569322950 92445839360 92620595200 95101504000 95695888400 95876788000 98177830912 100484608000 100807594240 101437641704 106513684480 106715033600 109366729600 109573472000 110258306200 115557299200 115775744000 115928733376 119619860500 122490737152 122722288640 126009492800 126797052130 132065484800 133142105600 133393792000 136708412000 137822882750 139989413888 140254044160 141130631936 144446624000 144910916720 152162406400 152450048000 153113421440 153402860800 157511866000 161292150784 165081856000 166427632000 174986767360 175317555200 176413289920 181138645900 184891678720 190203008000 191391776800 191753576000 196355661824 200969216000 201615188480 202875283408 213027368960 213430067200 218733459200 219146944000 220516612400 226423307375 231114598400 231551488000 231857466752 239239721000 244981474304 245444577280 252018985600 253594104260 266284211200 266787584000 273416824000 275645765500 279978827776 282261263872 288893248000 289821833440 304324812800 306226842880 306805721600 315023732000 316992630325 322584301568 330163712000 332855264000 349973534720 350635110400 352826579840 362277291800 380406016000 382783553600 383507152000 403230376960 405750566816 426054737920 437466918400 438293888000 441033224800 452846614750 462229196800 463102976000 463714933504 478479442000 489962948608 490889154560 504037971200 507188208520 532568422400 533575168000 546833648000 551291531000 564522527744 577786496000 579643666880 612453685760 613611443200 630047464000 633985260650 645168603136 660327424000 665710528000 699947069440 701270220800 705653159680 724554583600 760812032000 765567107200 767014304000 806460753920 811501133632 874933836800 876587776000 882066449600 905693229500 924458393600 927429867008 956958884000 979925897216 981778309120 1008075942400 1014376417040 1065136844800 1067150336000 1093667296000 1102583062000 1129045055488 1155572992000 1159287333760 1224907371520 1227222886400 1260094928000 1267970521300 1331421056000 1399894138880 1411306319360 1449109167200 1521624064000 1531134214400 1534028608000 1584963151625 1612921507840 1623002267264 1749867673600 1753175552000 1764132899200 1811386459000 1854859734016 1913917768000 1959851794432 2016151884800 2028752834080 2130273689600 2187334592000 2205166124000 2258090110976 2311145984000 2318574667520 2449814743040 2454445772800 2520189856000 2535941042600 2662842112000 2822612638720 2898218334400 3062268428800 3068057216000 3169926303250 3225843015680 3246004534528 3499735347200 3506351104000 3528265798400 3622772918000 3709719468032 3827835536000 4032303769600 4057505668160 4374669184000 4410332248000 4516180221952 4622291968000 4637149335040 4899629486080 4908891545600 5040379712000 5071882085200 5325684224000 5645225277440 5796436668800 6124536857600 6136114432000 6339852606500 6492009069056 6999470694400 7056531596800 7245545836000 7419438936064 7655671072000 8064607539200 8115011336320 8749338368000 8820664496000 9274298670080 9799258972160 10080759424000 10143764170400 10651368448000 11290450554880 11592873337600 12249073715200 12272228864000 12679705213000 12984018138112 14113063193600 14491091672000 14838877872128 15311342144000 16129215078400 16230022672640 17498676736000 17641328992000 18548597340160 20161518848000 20287528340800 22580901109760 23185746675200 24498147430400 24544457728000 25359410426000 25968036276224 28226126387200 28982183344000 30622684288000 32460045345280 34997353472000 35282657984000 37097194680320 40323037696000 40575056681600 46371493350400 48996294860800 50718820852000 51936072552448 56452252774400 57964366688000 61245368576000 64920090690560 70565315968000 74194389360640 80646075392000 81150113363200 92742986700800 101437641704000 103872145104896 112904505548800 115928733376000 122490737152000 129840181381120 141130631936000 162300226726400 185485973401600 202875283408000 231857466752000 244981474304000 259680362762240 282261263872000 324600453452800 370971946803200 405750566816000 463714933504000 519360725524480 564522527744000 649200906905600 811501133632000 927429867008000 1298401813811200 1623002267264000 1854859734016000 2596803627622400 3246004534528000 6492009069056000 12984018138112000
- Sum of all divisors σ(n): 39463464346675200
- Sum of proper divisors (its aliquot sum) s(n): 26479446208563200
- 12984018138112000 is an abundant number, because the sum of its proper divisors (26479446208563200) is greater than itself. Its abundance is 13495428070451200
Bases of 12984018138112000
- Binary: 1011100010000011100101010011001110000100100000000000002
- Hexadecimal: 0x2E20E54CE12000
- Base-36: 3JUG7L60NB4
Squares and roots of 12984018138112000
- 12984018138112000 squared (129840181381120002) is 168584727010821407106924544000000
- 12984018138112000 cubed (129840181381120003) is 2188907153317165161580202382289354620928000000000
-
The
square root of 12984018138112000 is 113947435.8558015117 -
The
cube root of 12984018138112000 is 235037.0736023685
Scales and comparisons
How big is 12984018138112000?- 12,984,018,138,112,000 seconds is equal to 412,851,614 years, 30 weeks, 3 days, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 12,984,018,138,112,000 would take you about one billion, two hundred thirty-eight million, five hundred fifty-four thousand, eight hundred forty-three 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 12984018138112000 cubic inches would be around 19586.4 feet tall.
Recreational maths with 12984018138112000
- 12984018138112000 backwards is 00021183181048921
- The number of decimal digits it has is: 17
- The sum of 12984018138112000's digits is 49
- More coming soon!
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"Number 12984018138112000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 12984018138112000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/12984018138112000/
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The information we have on file for 12984018138112000 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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