138221714577408
138,221,714,577,408 is an even composite number composed of seven prime numbers multiplied together.
138221714577408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138221714577408:
211 × 3 × 7 × 114 × 31 × 73 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 11 × 11 × 31 × 73 × 97)See below for interesting mathematical facts about the number 138221714577408 from the Numbermatics database.
Names of 138221714577408
- Cardinal: 138221714577408 can be written as One hundred thirty-eight trillion, two hundred twenty-one billion, seven hundred fourteen million, five hundred seventy-seven thousand, four hundred eight.
Scientific notation
- Scientific notation: 1.38221714577408 × 1014
Factors of 138221714577408
Divisors of 138221714577408
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 32 33 42 44 48 56 62 64 66 73 77 84 88 93 96 97 112 121 124 128 132 146 154 168 176 186 192 194 217 219 224 231 242 248 256 264 291 292 308 336 341 352 363 372 384 388 434 438 448 462 484 496 511 512 528 582 584 616 651 672 679 682 704 726 744 768 776 803 847 868 876 896 924 968 992 1022 1023 1024 1056 1067 1164 1168 1232 1302 1331 1344 1358 1364 1408 1452 1488 1533 1536 1552 1606 1694 1736 1752 1792 1848 1936 1984 2037 2044 2046 2048 2112 2134 2263 2328 2336 2387 2409 2464 2541 2604 2662 2688 2716 2728 2816 2904 2976 3007 3066 3072 3104 3201 3212 3388 3472 3504 3584 3696 3751 3872 3968 3993 4074 4088 4092 4224 4268 4526 4656 4672 4774 4818 4928 5082 5208 5324 5376 5432 5456 5621 5632 5808 5952 6014 6132 6144 6208 6402 6424 6776 6789 6944 7008 7081 7161 7168 7392 7469 7502 7744 7936 7986 8148 8176 8184 8448 8536 8833 9021 9052 9312 9317 9344 9548 9636 9856 10164 10416 10648 10752 10864 10912 11242 11253 11264 11616 11737 11904 12028 12264 12416 12804 12848 13552 13578 13888 14016 14162 14322 14336 14641 14784 14938 15004 15488 15841 15872 15972 16296 16352 16368 16863 16896 17072 17666 18042 18104 18624 18634 18688 19096 19272 19712 20328 20832 21049 21243 21296 21504 21728 21824 22407 22484 22506 22528 23232 23474 23808 24056 24528 24832 24893 25608 25696 26257 26499 27104 27156 27776 27951 28032 28324 28644 29282 29568 29876 30008 30976 31682 31744 31944 32592 32704 32736 33077 33726 33792 34144 35211 35332 36084 36208 37248 37268 37376 38192 38544 39424 40656 41261 41664 42098 42486 42592 43008 43456 43648 43923 44814 44968 45012 46464 46948 47523 47616 48112 49056 49567 49664 49786 51216 51392 52514 52998 54208 54312 55552 55902 56064 56648 57288 58564 59136 59752 60016 61831 61952 63147 63364 63488 63888 65184 65408 65472 66154 67452 67584 68288 70422 70664 72168 72416 74496 74536 74679 74752 76384 77088 77891 78771 78848 81312 82159 82522 83328 84196 84972 85184 86912 87296 87846 89628 89936 90024 92928 93896 95046 95232 96224 97163 98112 99134 99231 99328 99572 102432 102487 102784 105028 105996 108416 108624 111104 111804 112128 113296 114576 117128 118272 119504 120032 123662 123783 123904 126294 126728 127776 129107 130368 130816 130944 132308 134904 136576 140844 141328 144336 144832 148701 148992 149072 149358 149504 152768 154176 155782 157542 157696 162624 164318 165044 166656 168392 169944 170368 173824 174251 174592 175692 179256 179872 180048 185493 185856 187792 190092 190464 192448 194326 196224 198268 198462 198656 199144 204864 204974 205568 210056 211992 216832 217248 219511 222208 223608 224256 226592 229152 231539 233673 234256 236544 239008 240064 246477 247324 247566 247808 252588 253456 255552 258214 260736 261632 261888 264616 269808 273152 273823 281688 282656 288672 288827 289664 291489 297402 297984 298144 298716 305536 307461 308352 311564 315084 325248 328636 330088 333312 336784 339888 340736 347648 348502 349184 351384 358512 359744 360096 363847 370986 371712 375584 380184 384896 387321 388652 392448 396536 396924 398288 409728 409948 411136 420112 423984 433664 434496 439022 444416 447216 448512 453184 453871 458304 463078 467346 468512 473088 478016 480128 492954 494648 495132 505176 506912 511104 516428 521472 522753 523264 523776 529232 539616 545237 546304 547646 563376 565312 577344 577654 579328 582978 594804 595968 596288 597432 611072 614922 616704 623128 630168 650496 657272 658533 660176 666624 673568 679776 680141 681472 694617 695296 697004 698368 702768 717024 719488 720192 727694 741972 743424 751168 760368 769792 774642 777304 784896 793072 793848 796576 819456 819896 821469 822272 840224 847968 856801 866481 867328 868992 878044 894432 903749 906368 907742 916608 926156 934692 937024 956032 960256 985908 989296 990264 1010352 1013824 1022208 1032856 1042944 1045506 1046528 1047552 1058464 1068793 1079232 1090474 1091541 1092608 1095292 1126752 1130624 1154688 1155308 1158656 1165956 1189608 1192576 1194864 1222144 1229844 1233408 1246256 1260336 1300992 1314544 1317066 1320352 1333248 1347136 1359552 1360282 1361613 1362944 1389234 1390592 1394008 1405536 1420177 1434048 1438976 1440384 1455388 1483944 1502336 1520736 1536577 1539584 1549284 1554608 1569792 1586144 1587696 1593152 1635711 1638912 1639792 1642938 1644544 1680448 1695936 1713602 1732962 1734656 1737984 1756088 1788864 1807498 1812736 1815484 1833216 1852312 1869384 1874048 1912064 1916761 1920512 1971816 1978592 1980528 2020704 2027648 2040423 2044416 2065712 2085888 2091012 2095104 2116928 2137586 2158464 2180948 2183082 2185216 2190584 2253504 2261248 2309376 2310616 2317312 2331912 2379216 2385152 2389728 2414621 2444288 2459688 2466816 2492512 2520672 2546929 2570403 2601984 2629088 2634132 2640704 2694272 2711247 2719104 2720564 2723226 2725888 2778468 2788016 2811072 2840354 2868096 2877952 2880768 2910776 2967888 3004672 3012053 3041472 3073154 3079168 3098568 3109216 3139584 3172288 3175392 3177097 3186304 3206379 3271422 3277824 3279584 3285876 3360896 3391872 3427204 3465924 3475968 3512176 3577728 3614996 3625472 3630968 3666432 3704624 3738768 3748096 3824128 3833522 3841024 3943632 3957184 3961056 4002317 4041408 4055296 4080846 4088832 4131424 4171776 4182024 4233856 4260531 4275172 4316928 4361896 4366164 4381168 4507008 4522496 4609731 4618752 4621232 4634624 4663824 4758432 4770304 4779456 4829242 4888576 4919376 4933632 4985024 5041344 5093858 5140806 5203968 5258176 5268264 5281408 5388544 5422494 5438208 5441128 5446452 5556936 5576032 5622144 5680708 5736192 5750283 5755904 5761536 5821552 5935776 5997607 6009344 6024106 6082944 6146308 6158336 6197136 6218432 6344576 6350784 6354194 6372608 6412758 6542844 6555648 6559168 6571752 6721792 6783744 6854408 6931848 6951936 7024352 7155456 7229992 7243863 7250944 7261936 7332864 7409248 7477536 7481551 7496192 7640787 7648256 7667044 7682048 7887264 7914368 7922112 8004634 8082816 8110592 8161692 8177664 8262848 8364048 8467712 8521062 8550344 8633856 8723792 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49577088 49747456 50707041 50756608 50806272 50833552 50980864 51302064 52342752 52473344 52574016 53121662 53774336 54269952 54835264 55454784 56032438 56194816 56548866 57243648 57839936 57950904 58095488 59273984 59647434 59820288 59852408 61126296 61336352 63098112 63253113 63314944 63376896 64037072 64662528 65293536 65973677 66102784 66265166 66912384 67609388 67741696 68168496 68402752 69790336 69858624 70098688 71971284 72112128 72289272 73755696 73939712 74621184 75398488 76134912 76250328 76471296 77267872 78710016 79529912 79682493 79760384 80661504 81501728 82252896 84048657 84130816 84292224 84337484 84502528 86759904 87058048 87143232 88050974 88910976 89216512 89778612 89954304 90891328 92004528 93144832 94972416 95961712 96055608 96385696 97327104 98340928 99154176 99397749 99494912 101414082 101513216 101612544 101667104 102604128 103672921 104685504 104946688 105148032 106243324 109670528 110909568 112064876 112389632 113097732 115679872 115901808 116190976 118547968 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273611008 279161344 279434496 280394752 287885136 289157088 292169141 295022784 295758848 298484736 301593952 304539648 305001312 308178409 309071488 311018763 314840064 318119648 318729972 326006912 329011584 336194628 337168896 337349936 347039616 348232192 348572928 352203896 355643904 356866048 359114448 363565312 368018112 371851634 372579328 379889664 383846848 384222432 385542784 393363712 395842062 396616704 397590996 405656328 406668416 410416512 414691684 418742016 420592128 424973296 438682112 443638272 448259504 449558528 452390928 462719488 463607232 463856162 464763904 474191872 477179472 478562304 478819264 489010368 490690816 504784896 506024904 512296576 522348288 527789416 528305844 530121328 535299072 540875104 545347968 547222016 557777451 558322688 558868992 560789504 575770272 578314176 584338282 590045568 591517696 596969472 603187904 610002624 616356818 618142976 622037526 629680128 636239296 637459944 652013824 658023168 672389256 674337792 674699872 694079232 695784243 696464384 697145856 704407792 711287808 718228896 725710447 727130624 736036224 743703268 745158656 767693696 768444864 771085568 786727424 791684124 793233408 795181992 811312656 813336832 820833024 829383368 837484032 841184256 849946592 876507423 877364224 887276544 896519008 904781856 924535227 925438976 927214464 927712324 929527808 954358944 957638528 978020736 981381632 1012049808 1024593152 1044696576 1055578832 1056611688 1060242656 1070598144 1081750208 1090695936 1094444032 1115554902 1116645376 1117737984 1151540544 1156628352 1168676564 1180091136 1206375808 1220005248 1232713636 1236285952 1244075052 1272478592 1274919888 1304027648 1316046336 1344778512 1348675584 1349399744 1388158464 1391568486 1392928768 1394291712 1408815584 1422575616 1436457792 1451420894 1454261248 1472072448 1487406536 1535387392 1536889728 1542171136 1573454848 1583368248 1590363984 1622625312 1626673664 1641666048 1658766736 1674968064 1682368512 1699893184 1753014846 1754728448 1774553088 1793038016 1809563712 1849070454 1850877952 1854428928 1855424648 1908717888 1915277056 1956041472 1962763264 2024099616 2045183987 2049186304 2089393152 2111157664 2113223376 2120485312 2163500416 2177131341 2181391872 2188888064 2231109804 2235475968 2303081088 2313256704 2337353128 2360182272 2412751616 2440010496 2465427272 2472571904 2488150104 2544957184 2549839776 2608055296 2632092672 2689557024 2698799488 2776316928 2783136972 2788583424 2817631168 2872915584 2902841788 2908522496 2944144896 2974813072 3070774784 3073779456 3084342272 3146909696 3166736496 3180727968 3213860551 3245250624 3253347328 3283332096 3317533472 3349936128 3399786368 3506029692 3586076032 3619127424 3698140908 3708857856 3710849296 3817435776 3830554112 3912082944 3925526528 4048199232 4090367974 4098372608 4178786304 4222315328 4226446752 4240970624 4327000832 4354262682 4362783744 4462219608 4606162176 4626513408 4674706256 4720364544 4825503232 4880020992 4930854544 4945143808 4976300208 5089914368 5099679552 5216110592 5264185344 5379114048 5397598976 5552633856 5566273944 5635262336 5745831168 5805683576 5888289792 5949626144 6135551961 6141549568 6147558912 6168684544 6333472992 6361455936 6427721102 6490501248 6506694656 6566664192 6635066944 6799572736 7012059384 7172152064 7238254848 7396281816 7417715712 7421698592 7634871552 7661108224 7824165888 8096398464 8180735948 8196745216 8444630656 8452893504 8481941248 8654001664 8708525364 8725567488 8924439216 9212324352 9253026816 9349412512 9440729088 9641581653 9651006464 9760041984 9861709088 9952600416 10179828736 10199359104 10758228096 10795197952 11132547888 11270524672 11491662336 11611367152 11776579584 11899252288 12271103922 12283099136 12295117824 12666945984 12722911872 12855442204 12981002496 13270133888 13599145472 14024118768 14344304128 14476509696 14792563632 14835431424 14843397184 15269743104 15322216448 15648331776 16192796928 16361471896 16889261312 16905787008 16963882496 17308003328 17417050728 17848878432 18424648704 18506053632 18698825024 19283163306 19302012928 19520083968 19723418176 19905200832 20359657472 20398718208 21516456192 21590395904 22265095776 22497023857 22541049344 22983324672 23222734304 23798504576 24542207844 24590235648 25333891968 25445823744 25710884408 25962004992 26540267776 27198290944 28048237536 28688608256 28953019392 29585127264 29686794368 30539486208 32385593856 32722943792 33778522624 33811574016 33927764992 34616006656 34834101456 35697756864 36849297408 37397650048 38566326612 39446836352 39810401664 40797436416 43032912384 43180791808 44530191552 44994047714 45082098688 45966649344 46445468608 47597009152 49084415688 50667783936 50891647488 51421768816 51924009984 53080535552 54396581888 56096475072 57377216512 57906038784 59170254528 59373588736 61078972416 64771187712 65445887584 67491071571 67557045248 67623148032 67855529984 69668202912 71395513728 74795300096 77132653224 78893672704 79620803328 81594872832 86065824768 89060383104 89988095428 90164197376 92890937216 95194018304 98168831376 101335567872 101783294976 102843537632 103848019968 106161071104 112192950144 118340509056 118747177472 129542375424 130891775168 134982143142 135114090496 135246296064 139336405824 142791027456 149590600192 154265306448 157787345408 159241606656 163189745664 172131649536 178120766208 179976190856 185781874432 190388036608 196337662752 202671135744 203566589952 205687075264 212322142208 224385900288 236681018112 237494354944 261783550336 269964286284 270492592128 278672811648 285582054912 299181200384 308530612896 315574690816 318483213312 356241532416 359952381712 371563748864 380776073216 392675325504 405342271488 411374150528 448771800576 473362036224 474988709888 523567100672 539928572568 557345623296 571164109824 598362400768 617061225792 631149381632 636966426624 712483064832 719904763424 743127497728 785350651008 822748301056 897543601152 946724072448 1047134201344 1079857145136 1114691246592 1142328219648 1234122451584 1424966129664 1439809526848 1486254995456 1570701302016 1645496602112 1795087202304 1893448144896 2094268402688 2159714290272 2229382493184 2468244903168 2879619053696 3141402604032 3290993204224 4188536805376 4319428580544 4458764986368 4936489806336 5759238107392 6282805208064 6581986408448 8638857161088 9872979612672 11518476214784 12565610416128 17277714322176 19745959225344 23036952429568 34555428644352 46073904859136 69110857288704 138221714577408
- Sum of all divisors σ(n): 489747679948800
- Sum of proper divisors (its aliquot sum) s(n): 351525965371392
- 138221714577408 is an abundant number, because the sum of its proper divisors (351525965371392) is greater than itself. Its abundance is 213304250793984
Bases of 138221714577408
- Binary: 111110110110110010000000011001010011000000000002
- Hexadecimal: 0x7DB640329800
- Base-36: 1CZU6G2WAO
Squares and roots of 138221714577408
- 138221714577408 squared (1382217145774082) is 19105242380718443208023998464
- 138221714577408 cubed (1382217145774083) is 2640759359279863564190610476686168201101312
-
The
square root of 138221714577408 is 11756773.1362567341 -
The
cube root of 138221714577408 is 51704.1526715385
Scales and comparisons
How big is 138221714577408?- 138,221,714,577,408 seconds is equal to 4,395,022 years, 50 weeks, 5 days, 3 hours, 56 minutes, 48 seconds.
-
To count from 1 to 138,221,714,577,408 would take you about ten million, nine hundred eighty-seven thousand, five hundred fifty-seven 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 138221714577408 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138221714577408
- 138221714577408 backwards is 804775417122831
- The number of decimal digits it has is: 15
- The sum of 138221714577408's digits is 60
- More coming soon!
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"Number 138221714577408 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138221714577408 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138221714577408/
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The information we have on file for 138221714577408 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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