138214013382144
138,214,013,382,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 138214013382144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1200 divisors.
138214013382144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138214013382144:
29 × 34 × 72 × 53 × 89 × 14419
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 53 × 89 × 14419)See below for interesting mathematical facts about the number 138214013382144 from the Numbermatics database.
Names of 138214013382144
- Cardinal: 138214013382144 can be written as One hundred thirty-eight trillion, two hundred fourteen billion, thirteen million, three hundred eighty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.38214013382144 × 1014
Factors of 138214013382144
Divisors of 138214013382144
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 53 54 56 63 64 72 81 84 89 96 98 106 108 112 126 128 144 147 159 162 168 178 189 192 196 212 216 224 252 256 267 288 294 318 324 336 356 371 378 384 392 424 432 441 448 477 504 512 534 567 576 588 623 636 648 672 712 742 756 768 784 801 848 864 882 896 954 1008 1068 1113 1134 1152 1176 1246 1272 1296 1323 1344 1424 1431 1484 1512 1536 1568 1602 1696 1728 1764 1792 1869 1908 2016 2136 2226 2268 2304 2352 2403 2492 2544 2592 2597 2646 2688 2848 2862 2968 3024 3136 3204 3339 3392 3456 3528 3584 3738 3816 3969 4032 4272 4293 4361 4452 4536 4608 4704 4717 4806 4984 5088 5184 5194 5292 5376 5607 5696 5724 5936 6048 6272 6408 6678 6784 6912 7056 7209 7476 7632 7791 7938 8064 8544 8586 8722 8904 9072 9408 9434 9612 9968 10017 10176 10368 10388 10584 10752 11214 11392 11448 11872 12096 12544 12816 13083 13356 13568 13824 14112 14151 14418 14419 14952 15264 15582 15876 16128 16821 17088 17172 17444 17808 18144 18816 18868 19224 19936 20034 20352 20736 20776 21168 22428 22784 22896 23373 23744 24192 25088 25632 26166 26712 27136 28224 28302 28836 28838 29904 30051 30528 31164 31752 32256 33019 33642 34176 34344 34888 35616 36288 37632 37736 38448 39249 39872 40068 40704 41472 41552 42336 42453 43257 44856 45568 45792 46746 47488 48384 50463 51264 52332 53424 56448 56604 57672 57676 59808 60102 61056 62328 63504 66038 67284 68352 68688 69776 70119 71232 72576 75264 75472 76896 78498 79744 80136 81408 83104 84672 84906 86514 89712 91584 93492 94976 96768 99057 100926 100933 102528 104664 106848 112896 113208 115344 115352 117747 119616 120204 122112 124656 127008 127359 129771 132076 134568 136704 137376 139552 140238 142464 145152 150944 153792 156996 159488 160272 166208 169344 169812 173028 179424 183168 186984 189952 198114 201852 201866 205056 209328 210357 213696 225792 226416 230688 230704 231133 235494 239232 240408 244224 249312 254016 254718 259542 264152 269136 274752 279104 280476 284928 290304 297171 301888 302799 307584 313992 318976 320544 332416 338688 339624 346056 353241 358848 366336 373968 382077 389313 396228 403704 403732 410112 418656 420714 427392 452832 461376 461408 462266 470988 478464 480816 498624 508032 509436 519084 528304 538272 549504 558208 560952 569856 594342 603776 605598 615168 627984 641088 664832 677376 679248 692112 693399 706482 706531 717696 732672 747936 764154 764207 778626 792456 807408 807464 837312 841428 854784 891513 905664 908397 922752 922816 924532 941976 956928 961632 997248 1016064 1018872 1038168 1056608 1076544 1099008 1116416 1121904 1167939 1188684 1207552 1211196 1230336 1255968 1282176 1283291 1329664 1358496 1384224 1386798 1412964 1413062 1435392 1495872 1528308 1528414 1557252 1584912 1614816 1614928 1674624 1682856 1709568 1783026 1811328 1816794 1845504 1845632 1849064 1883952 1923264 1994496 2032128 2037744 2076336 2080197 2113216 2119593 2153088 2198016 2232832 2243808 2292621 2335878 2377368 2415104 2422392 2511936 2564352 2566582 2674539 2716992 2725191 2768448 2773596 2825928 2826124 2870784 2991744 3056616 3056828 3114504 3169824 3229632 3229856 3349248 3365712 3566052 3622656 3633588 3691008 3691264 3698128 3767904 3846528 3849873 3988992 4075488 4152672 4160394 4226432 4239186 4306176 4487616 4585242 4671756 4754736 4844784 5023872 5128704 5133164 5349078 5349449 5433984 5450382 5536896 5547192 5651856 5652248 5983488 6113232 6113656 6229008 6240591 6339648 6358779 6459264 6459712 6698496 6731424 6877863 7132104 7245312 7267176 7382528 7396256 7535808 7693056 7699746 8150976 8175573 8305344 8320788 8452864 8478372 8612352 8975232 8983037 9170484 9343512 9509472 9689568 10047744 10266328 10698156 10698898 10867968 10900764 11073792 11094384 11303712 11304496 11549619 11966976 12226464 12227312 12458016 12481182 12679296 12717558 12918528 12919424 13462848 13755726 14264208 14534352 14792512 15071616 15386112 15399492 16048347 16301952 16351146 16610688 16641576 16905728 16956744 17950464 17966074 18340968 18687024 18721773 19018944 19076337 19379136 20095488 20532656 20633589 21396312 21397796 21735936 21801528 22147584 22188768 22607424 22608992 23099238 24452928 24454624 24916032 24962364 25358592 25435116 25837056 25838848 26925696 26949111 27511452 28528416 29068704 29585024 30143232 30798984 32096694 32603904 32702292 33221376 33283152 33913488 34648857 35900928 35932148 36681936 37374048 37443546 37446143 38037888 38152674 38758272 41065312 41267178 42792624 42795592 43603056 44377536 45214848 45217984 46198476 48145041 48905856 48909248 49832064 49924728 50717184 50870232 51677696 53851392 53898222 55022904 57056832 57229011 58137408 59170048 60286464 61597968 61900767 62881259 64193388 65207808 65404584 66442752 66566304 67826976 68014423 69297714 71864296 73363872 74748096 74887092 74892286 76075776 76305348 77516544 80847333 82130624 82534356 85585248 85591184 87206112 88755072 90429696 90435968 92396952 96290082 97811712 97818496 99664128 99849456 101740464 103946571 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2738917888 2856605766 2910503988 2956702464 3018300432 3033137583 3081282624 3195182592 3255694848 3264692304 3326290272 3332706727 3395587986 3449486208 3466442952 3521465856 3594829728 3662656704 3672778842 3808807688 3880671984 3961649088 4024400576 4044183444 4108376832 4185893376 4284908649 4352923072 4435053696 4527450648 4599314944 4621923936 4792773888 4793106304 4883542272 4897038456 5093381979 5174229312 5282198784 5392244592 5509168263 5713211532 5821007976 5913404928 6036600864 6066275166 6162565248 6529384608 6652580544 6665413454 6791175972 6898972416 6932885904 7189659456 7325313408 7345557684 7617615376 7761343968 7923298176 8048801152 8088366888 8216753664 8569817298 8705846144 8870107392 9054901296 9243847872 9585547776 9586212608 9767084544 9794076912 9998120181 10186763958 10348458624 10564397568 10784489184 11018336526 11426423064 11642015952 12073201728 12132550332 12325130496 12854725947 13058769216 13305161088 13330826908 13582351944 13797944832 13865771808 14379318912 14650626816 14691115368 15235230752 15522687936 15846596352 16097602304 16176733776 17139634596 17411692288 17740214784 18109802592 18487695744 19172425216 19588153824 19996240362 20373527916 20696917248 21568978368 22036673052 22852846128 23284031904 24146403456 24265100664 24650260992 25709451894 26117538432 26610322176 26661653816 27164703888 27731543616 28758637824 29301253632 29382230736 29994360543 30470461504 31045375872 31693192704 32195204608 32353467552 34279269192 34823384576 36219605184 36975391488 38564177841 39176307648 39992480724 40747055832 41393834496 43137956736 44073346104 45705692256 46568063808 48292806912 48530201328 51418903788 52235076864 53220644352 53323307632 54329407776 55463087232 57517275648 58764461472 59988721086 60940923008 62090751744 64706935104 68558538384 72439210368 73950782976 77128355682 78352615296 79984961448 81494111664 86275913472 88146692208 89983081629 91411384512 93136127616 96585613824 97060402656 102837807576 104470153728 106646615264 108658815552 110926174464 117528922944 119977442172 121881846016 124181503488 129413870208 137117076768 144878420736 154256711364 156705230592 159969922896 162988223328 172551826944 176293384416 179966163258 182822769024 186272255232 194120805312 205675615152 213293230528 217317631104 221852348928 235057845888 239954884344 243763692032 258827740416 269949244887 274234153536 289756841472 308513422728 313410461184 319939845792 325976446656 352586768832 359932326516 365645538048 372544510464 388241610624 411351230304 426586461056 434635262208 470115691776 479909768688 517655480832 539898489774 548468307072 617026845456 639879691584 651952893312 705173537664 719864653032 731291076096 776483221248 822702460608 853172922112 869270524416 940231383552 959819537376 1079796979548 1096936614144 1234053690912 1279759383168 1303905786624 1410347075328 1439729306064 1552966442496 1645404921216 1706345844224 1919639074752 2159593959096 2193873228288 2468107381824 2559518766336 2607811573248 2820694150656 2879458612128 3290809842432 3839278149504 4319187918192 4936214763648 5119037532672 5758917224256 6581619684864 7678556299008 8638375836384 9872429527296 11517834448512 15357112598016 17276751672768 19744859054592 23035668897024 34553503345536 46071337794048 69107006691072 138214013382144
- Sum of all divisors σ(n): 494467087237200
- Sum of proper divisors (its aliquot sum) s(n): 356253073855056
- 138214013382144 is an abundant number, because the sum of its proper divisors (356253073855056) is greater than itself. Its abundance is 218039060472912
Bases of 138214013382144
- Binary: 111110110110100011101010010101110101110000000002
- Hexadecimal: 0x7DB4752BAE00
- Base-36: 1CZQN2ZK00
Squares and roots of 138214013382144
- 138214013382144 squared (1382140133821442) is 19103113495199480713778036736
- 138214013382144 cubed (1382140133821443) is 2640317984266116668476877206429975638441984
-
The
square root of 138214013382144 is 11756445.6100534059 -
The
cube root of 138214013382144 is 51703.1923999145
Scales and comparisons
How big is 138214013382144?- 138,214,013,382,144 seconds is equal to 4,394,778 years, 5 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 138,214,013,382,144 would take you about ten million, nine hundred eighty-six thousand, nine hundred forty-five 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 138214013382144 cubic inches would be around 4308.6 feet tall.
Recreational maths with 138214013382144
- 138214013382144 backwards is 441283310412831
- The number of decimal digits it has is: 15
- The sum of 138214013382144's digits is 45
- More coming soon!
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"Number 138214013382144 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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The information we have on file for 138214013382144 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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