138414977293824
138,414,977,293,824 is an even composite number composed of six prime numbers multiplied together.
138414977293824 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138414977293824:
29 × 33 × 72 × 11 × 17 × 1033
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 17 × 103 × 103 × 103)See below for interesting mathematical facts about the number 138414977293824 from the Numbermatics database.
Names of 138414977293824
- Cardinal: 138414977293824 can be written as One hundred thirty-eight trillion, four hundred fourteen billion, nine hundred seventy-seven million, two hundred ninety-three thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.38414977293824 × 1014
Factors of 138414977293824
Divisors of 138414977293824
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 32 33 34 36 42 44 48 49 51 54 56 63 64 66 68 72 77 84 88 96 98 99 102 103 108 112 119 126 128 132 136 144 147 153 154 168 176 187 189 192 196 198 204 206 216 224 231 238 252 256 264 272 288 294 297 306 308 309 336 352 357 374 378 384 392 396 408 412 432 441 448 459 462 476 504 512 528 539 544 561 576 588 594 612 616 618 672 693 704 714 721 748 756 768 784 792 816 824 833 864 882 896 918 924 927 952 1008 1056 1071 1078 1088 1122 1133 1152 1176 1188 1224 1232 1236 1309 1323 1344 1386 1408 1428 1442 1496 1512 1536 1568 1584 1617 1632 1648 1666 1683 1728 1751 1764 1792 1836 1848 1854 1904 2016 2079 2112 2142 2156 2163 2176 2244 2266 2304 2352 2376 2448 2464 2472 2499 2618 2646 2688 2772 2781 2816 2856 2884 2992 3024 3136 3168 3213 3234 3264 3296 3332 3366 3399 3456 3502 3528 3584 3672 3696 3708 3808 3927 4032 4158 4224 4284 4312 4326 4352 4488 4532 4608 4704 4752 4851 4896 4928 4944 4998 5047 5049 5236 5253 5292 5376 5544 5562 5632 5712 5768 5984 6048 6272 6336 6426 6468 6489 6528 6592 6664 6732 6798 6912 7004 7056 7344 7392 7416 7497 7616 7854 7931 8064 8316 8448 8568 8624 8652 8704 8976 9064 9163 9408 9504 9702 9792 9856 9888 9996 10094 10098 10197 10472 10506 10584 10609 10752 11088 11124 11424 11536 11781 11968 12096 12257 12544 12672 12852 12936 12978 13056 13184 13328 13464 13596 13824 14008 14112 14553 14688 14784 14832 14994 15141 15232 15708 15759 15862 16128 16632 16896 17136 17248 17304 17952 18128 18326 18816 19008 19261 19404 19467 19584 19712 19776 19992 20188 20196 20394 20944 21012 21168 21218 22176 22248 22491 22848 23072 23562 23793 23936 24192 24514 25088 25344 25704 25872 25956 26112 26368 26656 26928 27192 27489 28016 28224 29106 29376 29568 29664 29988 30282 30464 30591 31416 31518 31724 31827 32256 33264 34272 34496 34608 35343 35904 36256 36652 36771 37632 38016 38522 38808 38934 39168 39424 39552 39984 40376 40392 40788 41888 42024 42336 42436 44352 44496 44982 45423 45696 46144 47124 47277 47586 47872 48384 49028 50688 51408 51744 51912 52736 53312 53856 54384 54978 55517 56032 56448 57783 58212 58752 59136 59328 59976 60564 60928 61182 62832 63036 63448 63654 66528 68544 68992 69216 70686 71379 71808 72512 73304 73542 74263 75264 76032 77044 77616 77868 78336 79104 79968 80752 80784 81576 82467 83776 84048 84672 84872 85799 88704 88992 89964 90846 91392 92288 94248 94554 95172 95481 95744 96768 98056 102816 103488 103824 106624 107712 108768 109956 110313 111034 112064 112896 115566 116424 116699 117504 118272 118656 119952 121128 122364 125664 126072 126896 127308 133056 134827 136269 137088 137984 138432 141372 142758 143616 145024 146608 147084 148526 152064 154088 155232 155736 158208 159936 161504 161568 163152 164934 166551 167552 168096 169344 169744 171598 173349 177408 177984 179928 180353 181692 182784 184576 188496 189108 190344 190962 196112 205632 206976 207648 213248 214137 215424 217536 219912 220626 222068 222789 224128 225792 231132 232848 233398 235008 237312 239904 242256 244728 247401 251328 252144 253792 254616 257397 266112 269654 272538 274176 275968 276864 282744 285516 286443 287232 290048 293216 294168 297052 308176 310464 311472 319872 323008 323136 326304 329868 330939 333102 335104 336192 338688 339488 343196 346698 350097 354816 355968 359856 360706 363384 369152 376992 378216 380688 381924 392224 404481 411264 413952 415296 426496 428274 430848 435072 439824 441252 444136 445578 448256 462264 465696 466796 474624 479808 484512 489456 494802 499653 502656 504288 507584 509232 514794 519841 520047 532224 539308 541059 545076 548352 553728 565488 571032 572886 580096 586432 588336 594104 616352 620928 622944 639744 646016 646272 652608 659736 661878 666204 668367 670208 672384 677376 678976 686392 693396 700194 711936 719712 721412 726768 753984 756432 761376 763848 772191 784448 808962 816893 822528 827904 830592 856548 861696 870144 879648 882504 888272 891156 896512 924528 931392 933592 943789 959616 969024 978912 989604 999306 1005312 1008576 1015168 1018464 1029588 1039682 1040094 1050291 1064448 1078616 1082118 1090152 1092727 1107456 1130976 1142064 1145772 1172864 1176672 1188208 1213443 1232704 1241856 1245888 1262471 1279488 1292032 1292544 1305216 1319472 1323756 1332408 1336734 1344768 1357952 1372784 1386792 1400388 1423872 1439424 1442824 1453536 1498959 1507968 1512864 1522752 1527696 1544382 1559523 1568896 1617924 1623177 1633786 1645056 1661184 1713096 1740288 1759296 1765008 1776544 1782312 1849056 1862784 1867184 1887578 1919232 1938048 1957824 1979208 1983883 1998612 2005101 2010624 2017152 2030336 2036928 2059176 2079364 2080188 2100582 2157232 2164236 2180304 2185454 2261952 2284128 2291544 2316573 2345728 2353344 2376416 2426886 2450679 2465408 2483712 2491776 2524942 2584064 2585088 2610432 2638944 2647512 2664816 2673468 2689536 2715904 2745568 2773584 2800776 2831367 2878848 2885648 2907072 2997918 3015936 3025728 3045504 3055392 3088764 3119046 3137792 3150873 3235848 3246354 3267572 3278181 3322368 3426192 3518592 3530016 3553088 3564624 3640329 3698112 3725568 3734368 3775156 3787413 3838464 3876096 3915648 3958416 3967766 3997224 4010202 4034304 4060672 4073856 4118352 4158728 4160376 4201164 4314464 4328472 4360608 4370908 4523904 4568256 4583088 4633146 4678569 4691456 4706688 4752832 4853772 4869531 4901358 4930816 4983552 5049884 5220864 5277888 5295024 5329632 5346936 5431808 5491136 5547168 5601552 5662734 5718251 5757696 5771296 5814144 5951649 5995836 6031872 6051456 6091008 6110784 6177528 6238092 6275584 6301746 6471696 6492708 6535144 6556362 6852384 7037184 7060032 7106176 7129248 7280658 7352037 7396224 7451136 7468736 7550312 7574826 7649089 7752192 7831296 7916832 7935532 7994448 8020404 8068608 8147712 8236704 8317456 8320752 8402328 8494101 8628928 8656944 8721216 8741816 8837297 9047808 9136512 9166176 9266292 9357138 9413376 9505664 9707544 9739062 9802716 9834543 9861632 9967104 10099768 10555776 10590048 10659264 10693872 10982272 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4904158776 4940568864 5035286016 5090283072 5140187808 5192638704 5249354418 5300818677 5332677504 5349991392 5384958656 5461449546 5517178623 5646364416 5721518572 5782711284 5817466368 5874500352 5999262192 6058078488 6154238464 6221457088 6241656624 6523469568 6538878368 6587425152 6608812896 6787044096 6853583744 6856299648 6923518272 6999139224 7021863702 7067758236 7110236672 7133321856 7186281984 7281932728 7356238164 7552929024 7635424608 7710281712 7999016256 8024987088 8077437984 8192174319 8322208832 8582277858 8726199552 8783233536 8811750528 9087117732 9141732864 9231357696 9332185632 9362484936 9423677648 9511095808 9808317552 9881137728 10012657501 10180566144 10280375616 10385277408 10498708836 10601637354 10665355008 10699982784 10769917312 10922899092 11034357246 11292728832 11443037144 11565422568 11749000704 11998524384 12116156976 12442914176 12483313248 12873416787 13046939136 13077756736 13174850304 13217625792 13574088192 13707167488 13712599296 13847036544 13998278448 14043727404 14135516472 14266643712 14563865456 14712476328 15105858048 15270849216 15420563424 15902456031 15998032512 16049974176 16154875968 16384348638 16644417664 17164555716 17452399104 17623501056 18174235464 18462715392 18664371264 18724969872 18847355296 19616635104 19762275456 20025315002 20361132288 20560751232 20770554816 20997417672 21203274708 21330710016 21399965568 21539834624 21845798184 22068714492 22886074288 23130845136 23997048768 24232313952 24576522957 24885828352 24966626496 25746833574 26155513472 26349700608 26435251584 27414334976 27425198592 27694073088 27996556896 28087454808 28271032944 28533287424 29127730912 29424952656 30037972503 30541698432 30841126848 31804912062 31996065024 32099948352 32309751936 32768697276 33288835328 34329111432 35247002112 36348470928 37328742528 37449939744 37694710592 38620250361 39233270208 39524550912 40050630004 40722264576 41121502464 41541109632 41994835344 42406549416 42799931136 43079669248 43691596368 44137428984 45772148576 46261690272 47994097536 48464627904 49153045914 49771656704 49933252992 51493667148 52311026944 52870503168 55388146176 55993113792 56174909616 56542065888 58255461824 58849905312 60075945006 61083396864 61682253696 63609824124 63992130048 64199896704 64619503872 65537394552 66577670656 68658222864 72696941856 74657485056 74899879488 75389421184 77240500722 78466540416 79049101824 80101260008 82243004928 83082219264 83989670688 84813098832 85599862272 87383192736 88274857968 90113917509 91544297152 92523380544 95988195072 96929255808 98306091828 99866505984 102987334296 104622053888 105741006336 111986227584 112349819232 113084131776 116510923648 117699810624 120151890012 122166793728 123364507392 127219648248 128399793408 129239007744 131074789104 137316445728 145393883712 149314970112 149799758976 150778842368 154481001444 156933080832 160202520016 166164438528 167979341376 169626197664 174766385472 176549715936 180227835018 183088594304 185046761088 191976390144 193858511616 196612183656 199733011968 205974668592 223972455168 224699638464 226168263552 233021847296 235399621248 240303780024 246729014784 254439296496 256799586816 262149578208 270341752527 274632891456 290787767424 299599517952 301557684736 308962002888 313866161664 320405040032 335958682752 339252395328 349532770944 353099431872 360455670036 366177188608 370093522176 387717023232 393224367312 411949337184 447944910336 449399276928 452336527104 466043694592 470799242496 480607560048 508878592992 524299156416 540683505054 549265782912 581575534848 599199035904 617924005776 640810080064 671917365504 678504790656 699065541888 706198863744 720911340072 732354377216 740187044352 786448734624 823898674368 898798553856 904673054208 941598484992 961215120096 1017757185984 1048598312832 1081367010108 1098531565824 1163151069696 1235848011552 1281620160128 1343834731008 1357009581312 1398131083776 1412397727488 1441822680144 1572897469248 1647797348736 1797597107712 1922430240192 2035514371968 2097196625664 2162734020216 2197063131648 2471696023104 2563240320256 2714019162624 2824795454976 2883645360288 3145794938496 3295594697472 3844860480384 4071028743936 4194393251328 4325468040432 4943392046208 5126480640512 5767290720576 6291589876992 6591189394944 7689720960768 8142057487872 8650936080864 9886784092416 11534581441152 12583179753984 15379441921536 17301872161728 19773568184832 23069162882304 34603744323456 46138325764608 69207488646912 138414977293824
- Sum of all divisors σ(n): 555920840217600
- Sum of proper divisors (its aliquot sum) s(n): 417505862923776
- 138414977293824 is an abundant number, because the sum of its proper divisors (417505862923776) is greater than itself. Its abundance is 279090885629952
Bases of 138414977293824
- Binary: 111110111100011001111111000110110011110000000002
- Hexadecimal: 0x7DE33F8D9E00
- Base-36: 1D2AYNPMO0
Squares and roots of 138414977293824
- 138414977293824 squared (1384149772938242) is 19158705939249813490428542976
- 138414977293824 cubed (1384149772938243) is 2651851847560313945426093695178227763380224
-
The
square root of 138414977293824 is 11764989.4727459913 -
The
cube root of 138414977293824 is 51728.2391701737
Scales and comparisons
How big is 138414977293824?- 138,414,977,293,824 seconds is equal to 4,401,168 years, 6 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,414,977,293,824 would take you about eleven million, two thousand, nine 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 138414977293824 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138414977293824
- 138414977293824 backwards is 428392779414831
- 138414977293824 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138414977293824's digits is 72
- More coming soon!
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"Number 138414977293824 - Facts about the integer". Numbermatics.com. 2024. Web. 17 May 2024.
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Numbermatics. (2024). Number 138414977293824 - Facts about the integer. Retrieved 17 May 2024, from https://numbermatics.com/n/138414977293824/
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The information we have on file for 138414977293824 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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