138226510643200
138,226,510,643,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 138226510643200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
138226510643200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138226510643200:
214 × 52 × 73 × 61 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 61 × 127 × 127)See below for interesting mathematical facts about the number 138226510643200 from the Numbermatics database.
Names of 138226510643200
- Cardinal: 138226510643200 can be written as One hundred thirty-eight trillion, two hundred twenty-six billion, five hundred ten million, six hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.382265106432 × 1014
Factors of 138226510643200
Divisors of 138226510643200
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 61 64 70 80 98 100 112 122 127 128 140 160 175 196 200 224 244 245 254 256 280 305 320 343 350 392 400 427 448 488 490 508 512 560 610 635 640 686 700 784 800 854 889 896 976 980 1016 1024 1120 1220 1225 1270 1280 1372 1400 1525 1568 1600 1708 1715 1778 1792 1952 1960 2032 2048 2135 2240 2440 2450 2540 2560 2744 2800 2989 3050 3136 3175 3200 3416 3430 3556 3584 3904 3920 4064 4096 4270 4445 4480 4880 4900 5080 5120 5488 5600 5978 6100 6223 6272 6350 6400 6832 6860 7112 7168 7747 7808 7840 8128 8192 8540 8575 8890 8960 9760 9800 10160 10240 10675 10976 11200 11956 12200 12446 12544 12700 12800 13664 13720 14224 14336 14945 15494 15616 15680 16129 16256 16384 17080 17150 17780 17920 19520 19600 20320 20480 20923 21350 21952 22225 22400 23912 24400 24892 25088 25400 25600 27328 27440 28448 28672 29890 30988 31115 31232 31360 32258 32512 34160 34300 35560 35840 38735 39040 39200 40640 40960 41846 42700 43561 43904 44450 44800 47824 48800 49784 50176 50800 51200 54229 54656 54880 56896 57344 59780 61976 62230 62464 62720 64516 65024 68320 68600 71120 71680 74725 77470 78080 78400 80645 81280 81920 83692 85400 87122 87808 88900 89600 95648 97600 99568 100352 101600 102400 104615 108458 109312 109760 112903 113792 114688 119560 123952 124460 124928 125440 129032 130048 136640 137200 142240 143360 149450 154940 155575 156160 156800 161290 162560 167384 170800 174244 175616 177800 179200 191296 193675 195200 199136 200704 203200 204800 209230 216916 217805 218624 219520 225806 227584 239120 247904 248920 249856 250880 258064 260096 271145 273280 274400 284480 286720 298900 309880 311150 312320 313600 322580 325120 334768 341600 348488 351232 355600 358400 379603 382592 387350 390400 398272 401408 403225 406400 409600 418460 433832 435610 437248 439040 451612 455168 478240 495808 497840 499712 501760 516128 520192 523075 542290 546560 548800 564515 568960 573440 597800 619760 622300 624640 627200 645160 650240 669536 683200 696976 702464 711200 716800 759206 765184 774700 780800 790321 796544 802816 806450 812800 836920 867664 871220 874496 878080 903224 910336 956480 983869 991616 995680 999424 1003520 1032256 1040384 1046150 1084580 1089025 1093120 1097600 1129030 1137920 1195600 1239520 1244600 1249280 1254400 1290320 1300480 1339072 1355725 1366400 1393952 1404928 1422400 1433600 1518412 1530368 1549400 1561600 1580642 1593088 1612900 1625600 1673840 1735328 1742440 1748992 1756160 1806448 1820672 1898015 1912960 1967738 1983232 1991360 2007040 2064512 2080768 2092300 2169160 2178050 2186240 2195200 2258060 2275840 2391200 2479040 2489200 2498560 2508800 2580640 2600960 2657221 2678144 2711450 2732800 2787904 2809856 2822575 2844800 2867200 3036824 3060736 3098800 3123200 3161284 3186176 3225800 3251200 3347680 3470656 3484880 3497984 3512320 3612896 3641344 3796030 3825920 3935476 3951605 3966464 3982720 4014080 4129024 4184600 4338320 4356100 4372480 4390400 4516120 4551680 4782400 4919345 4958080 4978400 4997120 5017600 5161280 5201920 5314442 5356288 5422900 5465600 5532247 5575808 5619712 5645150 5689600 6073648 6121472 6197600 6246400 6322568 6372352 6451600 6502400 6695360 6887083 6941312 6969760 6995968 7024640 7225792 7282688 7592060 7651840 7870952 7903210 7932928 7965440 8258048 8369200 8676640 8712200 8744960 8780800 9032240 9103360 9490075 9564800 9838690 9916160 9956800 10035200 10322560 10403840 10628884 10712576 10845800 10931200 11064494 11151616 11290300 11379200 12147296 12242944 12395200 12492800 12645136 12744704 12903200 13004800 13286105 13390720 13774166 13882624 13939520 14049280 14451584 14565376 15184120 15303680 15741904 15806420 15865856 15930880 16516096 16738400 17353280 17424400 17489920 17561600 18064480 18206720 18980150 19129600 19677380 19758025 19832320 19913600 20070400 20645120 21257768 21425152 21691600 21862400 22128988 22303232 22580600 22758400 24294592 24485888 24596725 24790400 24985600 25290272 25489408 25806400 26009600 26572210 26781440 27548332 27661235 27765248 27879040 28098560 28903168 30368240 30607360 31483808 31612840 31731712 31861760 33032192 33476800 34435415 34706560 34848800 34979840 35123200 36128960 36413440 37960300 38259200 39354760 39516050 39664640 39827200 41290240 42515536 42850304 43383200 43724800 44257976 44606464 45161200 45516800 48209581 48589184 48971776 49193450 49580800 50580544 50978816 51612800 52019200 53144420 53562880 55096664 55322470 55530496 55758080 57806336 60736480 61214720 62967616 63225680 63463424 63723520 66064384 66430525 66953600 68870830 69413120 69697600 70246400 72257920 72826880 75920600 76518400 78709520 79032100 79329280 79654400 82580480 85031072 85700608 86766400 87449600 88515952 89212928 90322400 91033600 96419162 97178368 98386900 99161600 101161088 101957632 103225600 106288840 107125760 110193328 110644940 111060992 111516160 115612672 121472960 122429440 125935232 126451360 126926848 127447040 132128768 132861050 133907200 137741660 138306175 138826240 139395200 140492800 144515840 151841200 153036800 157419040 158064200 158658560 159308800 165160960 170062144 171401216 172177075 173532800 174899200 177031904 178425856 180644800 182067200 192838324 194356736 196773800 198323200 202322176 206451200 212577680 214251520 220386656 221289880 222121984 223032320 231225344 241047905 242945920 244858880 251870464 252902720 254894080 264257536 265722100 267814400 275483320 276612350 277652480 278790400 289031680 303682400 306073600 314838080 316128400 317317120 318617600 330321920 337467067 340124288 342802432 344354150 347065600 354063808 356851712 361289600 364134400 385676648 388713472 393547600 396646400 404644352 412902400 425155360 428503040 440773312 442579760 444243968 446064640 462450688 482095810 485891840 503740928 505805440 509788160 531444200 535628800 550966640 553224700 555304960 557580800 578063360 607364800 612147200 629676160 632256800 634634240 637235200 660643840 674934134 680248576 688708300 694131200 708127616 713703424 722579200 771353296 777426944 787095200 793292800 809288704 825804800 850310720 857006080 881546624 885159520 888487936 892129280 924901376 964191620 971783680 1007481856 1011610880 1062888400 1071257600 1101933280 1106449400 1110609920 1115161600 1156126720 1205239525 1214729600 1224294400 1259352320 1264513600 1274470400 1321287680 1349868268 1360497152 1377416600 1388262400 1416255232 1445158400 1542706592 1554853888 1574190400 1586585600 1618577408 1651609600 1687335335 1700621440 1714012160 1763093248 1770319040 1784258560 1849802752 1928383240 1943567360 2014963712 2023221760 2125776800 2142515200 2203866560 2212898800 2221219840 2230323200 2312253440 2410479050 2429459200 2518704640 2529027200 2548940800 2699736536 2720994304 2754833200 2776524800 2832510464 2890316800 3085413184 3109707776 3148380800 3173171200 3237154816 3303219200 3374670670 3401242880 3526186496 3540638080 3568517120 3856766480 3887134720 4029927424 4046443520 4251553600 4285030400 4407733120 4425797600 4442439680 4460646400 4624506880 4820958100 4858918400 5037409280 5058054400 5399473072 5441988608 5509666400 5553049600 5665020928 5780633600 6170826368 6219415552 6296761600 6474309632 6606438400 6749341340 6802485760 7052372992 7081276160 7713532960 7774269440 8059854848 8092887040 8436676675 8503107200 8570060800 8815466240 8851595200 8921292800 9249013760 9641916200 9717836800 10074818560 10116108800 10798946144 10883977216 11019332800 11106099200 11330041856 11561267200 12341652736 12593523200 12948619264 13498682680 13604971520 14104745984 14162552320 15427065920 15548538880 16119709696 16185774080 16873353350 17006214400 17630932480 17703190400 17842585600 19283832400 19435673600 20149637120 20232217600 21597892288 21767954432 22038665600 22212198400 22660083712 23122534400 24683305472 25187046400 26997365360 27209943040 28209491968 28325104640 30854131840 31097077760 32371548160 33746706700 34012428800 35261864960 35406380800 38567664800 38871347200 40299274240 40464435200 43195784576 43535908864 44077331200 45320167424 46245068800 49366610944 50374092800 53994730720 54419886080 56418983936 56650209280 61708263680 64743096320 67493413400 68024857600 70523729920 70812761600 77135329600 77742694400 80598548480 80928870400 86391569152 88154662400 90640334848 98733221888 100748185600 107989461440 108839772160 112837967872 113300418560 123416527360 134986826800 136049715200 141047459840 141625523200 154270659200 155485388800 161857740800 172783138304 176309324800 197466443776 201496371200 215978922880 217679544320 226600837120 246833054720 269973653600 272099430400 282094919680 283251046400 308541318400 323715481600 345566276608 352618649600 394932887552 402992742400 431957845760 453201674240 493666109440 539947307200 544198860800 564189839360 566502092800 617082636800 691132553216 705237299200 789865775104 863915691520 987332218880 1079894614400 1088397721600 1133004185600 1234165273600 1382265106432 1410474598400 1727831383040 1974664437760 2159789228800 2266008371200 2468330547200 2764530212864 2820949196800 3455662766080 3949328875520 4319578457600 4936661094400 5529060425728 6911325532160 8639156915200 9873322188800 13822651064320 17278313830400 19746644377600 27645302128640 34556627660800 69113255321600 138226510643200
- Sum of all divisors σ(n): 409534469887200
- Sum of proper divisors (its aliquot sum) s(n): 271307959244000
- 138226510643200 is an abundant number, because the sum of its proper divisors (271307959244000) is greater than itself. Its abundance is 133081448600800
Bases of 138226510643200
- Binary: 111110110110111010111100001000011000000000000002
- Hexadecimal: 0x7DB75E10C000
- Base-36: 1CZWDRJ8CG
Squares and roots of 138226510643200
- 138226510643200 squared (1382265106432002) is 19106568244594682877706240000
- 138226510643200 cubed (1382265106432003) is 2641034258816494073665390387363053568000000
-
The
square root of 138226510643200 is 11756977.1048173773 -
The
cube root of 138226510643200 is 51704.7506809289
Scales and comparisons
How big is 138226510643200?- 138,226,510,643,200 seconds is equal to 4,395,175 years, 24 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 138,226,510,643,200 would take you about ten million, nine hundred eighty-seven thousand, nine hundred thirty-eight 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 138226510643200 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138226510643200
- 138226510643200 backwards is 002346015622831
- The number of decimal digits it has is: 15
- The sum of 138226510643200's digits is 43
- More coming soon!
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The information we have on file for 138226510643200 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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