138406622748878848
138,406,622,748,878,848 is an even composite number composed of five prime numbers multiplied together.
138406622748878848 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138406622748878848:
211 × 72 × 132 × 892 × 1013
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 89 × 89 × 101 × 101 × 101)See below for interesting mathematical facts about the number 138406622748878848 from the Numbermatics database.
Names of 138406622748878848
- Cardinal: 138406622748878848 can be written as One hundred thirty-eight quadrillion, four hundred six trillion, six hundred twenty-two billion, seven hundred forty-eight million, eight hundred seventy-eight thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38406622748878848 × 1017
Factors of 138406622748878848
Divisors of 138406622748878848
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 89 91 98 101 104 112 128 169 178 182 196 202 208 224 256 338 356 364 392 404 416 448 512 623 637 676 707 712 728 784 808 832 896 1024 1157 1183 1246 1274 1313 1352 1414 1424 1456 1568 1616 1664 1792 2048 2314 2366 2492 2548 2626 2704 2828 2848 2912 3136 3232 3328 3584 4361 4628 4732 4949 4984 5096 5252 5408 5656 5696 5824 6272 6464 6656 7168 7921 8099 8281 8722 8989 9191 9256 9464 9898 9968 10192 10201 10504 10816 11312 11392 11648 12544 12928 13312 14336 15041 15842 16198 16562 17069 17444 17978 18382 18512 18928 19796 19936 20384 20402 21008 21632 22624 22784 23296 25088 25856 26624 30082 31684 32396 33124 34138 34888 35956 36764 37024 37856 39592 39872 40768 40804 42016 43264 45248 45568 46592 50176 51712 55447 56693 60164 62923 63368 64337 64792 66248 68276 69776 71407 71912 73528 74048 75712 79184 79744 81536 81608 84032 86528 90496 91136 93184 100352 102973 103424 105287 110894 113386 116857 119483 120328 125846 126736 128674 129584 132496 132613 136552 139552 142814 143824 147056 148096 151424 158368 159488 163072 163216 168064 173056 180992 182272 186368 205946 206848 210574 221788 226772 233714 238966 240656 251692 253472 257348 259168 264992 265226 273104 279104 285628 287648 294112 296192 302848 316736 318976 326144 326432 336128 346112 361984 388129 411892 421148 440461 443576 453544 467428 477932 481312 499849 503384 506944 514696 518336 529984 530452 546208 558208 571256 575296 588224 592384 605696 633472 637952 652288 652864 672256 720811 723968 737009 776258 800021 817999 823784 836381 842296 880922 887152 907088 907889 928291 934856 955864 962624 999698 1006768 1013888 1029392 1030301 1036672 1059968 1060904 1092416 1116416 1142512 1150592 1176448 1184768 1211392 1266944 1275904 1304576 1305728 1338649 1344512 1441622 1447936 1474018 1519141 1552516 1600042 1635998 1647568 1672762 1684592 1723969 1761844 1774304 1814176 1815778 1856582 1869712 1911728 1925248 1999396 2013536 2027776 2058784 2060602 2073344 2119936 2121808 2184832 2232832 2285024 2301184 2352896 2369536 2422784 2533888 2611456 2677298 2689024 2883244 2948036 3038282 3105032 3200084 3271996 3295136 3345524 3369184 3447938 3523688 3548608 3628352 3631556 3713164 3739424 3823456 3850496 3998792 4027072 4055552 4117568 4121204 4146688 4239872 4243616 4369664 4465664 4570048 4602368 4705792 5045677 5067776 5222912 5354596 5600147 5725993 5766488 5896072 6076564 6210064 6355223 6400168 6498037 6543992 6590272 6691048 6738368 6895876 7047376 7097216 7212107 7256704 7263112 7426328 7478848 7646912 7700992 7997584 8054144 8111104 8235136 8242408 8293376 8479744 8487232 8739328 8931328 9140096 9204736 9370543 9411584 10091354 10135552 10400273 10445824 10633987 10709192 11200294 11451986 11532976 11792144 11802557 12067783 12153128 12420128 12710446 12800336 12996074 13087984 13180544 13382096 13393913 13476736 13791752 14094752 14194432 14424214 14513408 14526224 14852656 14957696 15293824 15401984 15995168 16108288 16222208 16470272 16484816 16586752 16959488 16974464 17478656 18280192 18409472 18741086 18823168 20182708 20800546 20891648 21267974 21418384 22400588 22903972 23065952 23584288 23605114 24135566 24306256 24840256 25420892 25600672 25992148 26175968 26361088 26764192 26787826 26953472 27583504 28189504 28388864 28848428 29026816 29052448 29705312 29915392 30587648 30803968 31990336 32216576 32940544 32969632 33948928 34957312 36560384 37482172 39201029 40365416 41601092 42535948 42836768 44486561 44801176 45807944 46131904 47168576 47210228 48271132 48612512 49680512 50484749 50841784 51201344 51984296 52351936 52722176 53528384 53575652 53906944 55167008 56379008 56777728 57696856 58053632 58104896 59410624 59830784 61175296 63980672 64433152 65593801 65881088 65939264 67897856 72801911 73120768 74437909 74964344 78402058 80730832 80802121 82617899 83202184 84474481 85071896 85673536 88973122 89602352 91615888 91696789 92263808 93757391 94337152 94420456 96542264 97225024 99361024 100969498 101683568 102402688 103968592 104703872 105444352 107056768 107151304 107813888 110334016 112758016 113555456 115393712 116107264 116209792 118821248 119661568 122350592 127961344 128866304 131187602 131762176 131878528 135203549 135795712 145603822 146241536 148875818 149928688 153433241 156804116 161461664 161604242 165235798 166404368 168948962 170143792 171347072 174120869 177946244 179204704 183231776 183393578 184527616 187514782 188674304 188840912 193084528 194450048 198722048 201938996 203367136 204805376 207937184 209407744 210888704 214113536 214302608 215627776 220668032 225516032 230787424 232419584 237642496 239323136 244701184 255922688 262375204 263757056 270407098 271591424 291207644 297751636 299857376 306866482 313608232 322923328 323208484 330471596 332808736 337897924 340287584 342694144 348241738 355892488 358409408 366463552 366787156 369055232 375029564 377348608 377681824 386169056 388900096 397444096 403877992 406734272 409610752 415874368 418815488 428227072 428605216 441336064 451032064 461574848 464839168 475284992 509613377 511845376 524750408 527514112 540814196 565614847 578325293 582415288 595503272 599714752 613732964 627216464 641877523 645846656 646416968 656301737 660943192 665617472 675795848 680575168 685388288 696483476 711784976 716818816 732927104 733574312 738110464 750059128 754697216 755363648 772338112 777800192 794888192 807755984 813468544 819221504 831748736 837630976 856454144 857210432 882672128 902064128 923149696 929678336 946424843 950569984 1019226754 1023690752 1049500816 1050427573 1055028224 1074032687 1081628392 1131229694 1156650586 1164830576 1191006544 1192058257 1199429504 1218846083 1227465928 1254432928 1283755046 1291693312 1292833936 1312603474 1321886384 1331234944 1351591696 1361150336 1370776576 1392966952 1423569952 1433637632 1465854208 1467148624 1476220928 1500118256 1509394432 1510727296 1544676224 1555600384 1615511968 1626937088 1638443008 1663497472 1675261952 1712908288 1714420864 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8403420584 8531922581 8592261496 8653027136 8986285322 9049837552 9253204688 9318644608 9528052352 9536466056 9595436032 9750768664 9819727424 10035463424 10270040368 10333546496 10342671488 10500827792 10575091072 10649879552 10812733568 10889202688 11143735616 11388559616 11469101056 11726833664 11737188992 12000946048 12085818368 12357409792 12924095744 13015496704 13249947802 13307979776 13655558449 13715366912 14705986022 14770395136 15036457618 15142797488 15496757341 15837215716 16307628064 16322028442 16688815598 16792013056 16806841168 17063845162 17184522992 17306054272 17972570644 18099675104 18506409376 18637289216 19056104704 19072932112 19190872064 19501537328 19639454848 20070926848 20540080736 20685342976 21001655584 21150182144 21299759104 21625467136 21778405376 22287471232 22777119232 23474377984 24001892096 24171636736 24714819584 25848191488 26499895604 27311116898 27430733824 29411972044 30072915236 30285594976 30993514682 31674431432 32615256128 32644056884 33377631196 33584026112 33613682336 34127690324 34369045984 34612108544 35945141288 36199350208 37012818752 37274578432 38112209408 38145864224 39003074656 39278909696 40141853696 41080161472 41370685952 42003311168 42300364288 43250934272 44574942464 45554238464 46948755968 48003784192 51470951077 51696382976 52999791208 54622233796 57127099547 58410854593 58823944088 60145830472 60571189952 61987029364 63348862864 65230512256 65288113768 66755262392 67168052224 67227364672 68255380648 68738091968 69224217088 71890282576 72398700416 74025637504 74549156864 76224418816 76291728448 78006149312 78557819392 80283707392 82160322944 82741371904 84006622336 84600728576 86501868544 89149884928 91108476928 93897511936 95588909143 96007568384 102941902154 103392765952 105999582416 106093184873 108477301387 109244467592 114254199094 116821709186 117647888176 120291660944 121142379904 123974058728 126697725728 130461024512 130576227536 133510524784 134336104448 134454729344 136510761296 137476183936 138448434176 143780565152 144797400832 148051275008 149098313728 152448837632 152583456896 156012298624 157115638784 164320645888 165482743808 168013244672 169201457152 173003737088 178299769856 187795023872 191177818286 192015136768 205883804308 211999164832 212186369746 216954602774 218488935184 228508398188 233643418372 235295776352 240583321888 242284759808 247948117456 253395451456 260922049024 261152455072 267021049568 268909458688 273021522592 274952367872 276896868352 287561130304 289594801664 296102550016 305166913792 312024597248 314231277568 328641291776 336026489344 356599539712 382355636572 399889696829 411767608616 423998329664 424372739492 433909205548 436977870368 457016796376 467286836744 470591552704 481166643776 484569519616 495896234912 506790902912 521844098048 522304910144 534042099136 537818917376 546043045184 549904735744 575122260608 579189603328 592205100032 610333827584 624049194496 657282583552 669122364001 672052978688 742652294111 759341109709 764711273144 799779393658 823535217232 847996659328 848745478984 867818411096 873955740736 914033592752 934573673488 941183105408 962333287552 969139039232 991792469824 1013581805824 1043688196096 1044609820288 1068084198272 1075637834752 1092086090368 1099809471488 1150244521216 1158379206656 1184410200064 1220667655168 1248098388992 1314565167104 1338244728002 1344105957376 1379211403349 1485304588222 1518682219418 1529422546288 1599558787316 1647070434464 1695993318656 1697490957968 1735636822192 1747911481472 1828067185504 1869147346976 1882366210816 1924666575104 1938278078464 1983584939648 2027163611648 2089219640576 2136168396544 2151275669504 2184172180736 2199618942976 2300489042432 2441335310336 2496196777984 2676489456004 2758422806698 2970609176444 3037364438836 3058845092576 3199117574632 3294140868928 3391986637312 3394981915936 3471273644384 3495822962944 3656134371008 3738294693952 3764732421632 3849333150208 3967169879296 4054327223296 4178439281152 4272336793088 4368344361472 4600978084864 5198566058777 5352978912008 5516845613396 5941218352888 6074728877672 6117690185152 6398235149264 6588281737856 6783973274624 6789963831872 6942547288768 6991645925888 7312268742016 7476589387904 7529464843264 7698666300416 7934339758592 8108654446592 8356878562304 8544673586176 8736688722944 9201956169728 9654479823443 10397132117554 10705957824016 11033691226792 11882436705776 12149457755344 12235380370304 12796470298528 13176563475712 13567946549248 13579927663744 13885094577536 13983291851776 14624537484032 14953178775808 15058929686528 15397332600832 15868679517184 16713757124608 17089347172352 17473377445888 19308959646886 20794264235108 21411915648032 22067382453584 23764873411552 24298915510688 24470760740608 25592940597056 26353126951424 27159855327488 27770189155072 27966583703552 29249074968064 29906357551616 31737359034368 38617919293772 41588528470216 42823831296064 44134764907168 47529746823104 48597831021376 48941521481216 51185881194112 52706253902848 54319710654976 55540378310144 58498149936128 59812715103232 67581358764101 77235838587544 83177056940432 85647662592128 88269529814336 95059493646208 97195662042752 97883042962432 102371762388224 105412507805696 108639421309952 111080756620288 116996299872256 119625430206464 135162717528202 154471677175088 166354113880864 171295325184256 176539059628672 190118987292416 194391324085504 195766085924864 204743524776448 217278842619904 222161513240576 270325435056404 308943354350176 332708227761728 342590650368512 353078119257344 380237974584832 388782648171008 409487049552896 540650870112808 617886708700352 665416455523456 685181300737024 706156238514688 760475949169664 777565296342016 818974099105792 1081301740225616 1235773417400704 1330832911046912 1370362601474048 1412312477029376 1520951898339328 1555130592684032 2162603480451232 2471546834801408 2661665822093824 2824624954058752 4325206960902464 4943093669602816 5323331644187648 8650413921804928 9886187339205632 10646663288375296 17300827843609856 19772374678411264 34601655687219712 69203311374439424 138406622748878848
- Sum of all divisors σ(n): 356083683783134580
- Sum of proper divisors (its aliquot sum) s(n): 217677061034255732
- 138406622748878848 is an abundant number, because the sum of its proper divisors (217677061034255732) is greater than itself. Its abundance is 79270438285376884
Bases of 138406622748878848
- Binary: 1111010111011100000010111000011111000001000101000000000002
- Hexadecimal: 0x1EBB8170F822800
- Base-36: 11UT1WPRKXZ4
Squares and roots of 138406622748878848
- 138406622748878848 squared (1384066227488788482) is 19156393220750467838682440981807104
- 138406622748878848 cubed (1384066227488788483) is 2651371689733590245462297637499840960526381001736192
-
The
square root of 138406622748878848 is 372030405.6779215029 -
The
cube root of 138406622748878848 is 517271.9839986873
Scales and comparisons
How big is 138406622748878848?- 138,406,622,748,878,848 seconds is equal to 4,400,902,483 years, 32 weeks, 1 day, 22 hours, 47 minutes, 28 seconds.
-
To count from 1 to 138,406,622,748,878,848 would take you about thirteen billion, two hundred two million, seven hundred seven thousand, four hundred fifty 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 138406622748878848 cubic inches would be around 43106 feet tall.
Recreational maths with 138406622748878848
- 138406622748878848 backwards is 848878847226604831
- The number of decimal digits it has is: 18
- The sum of 138406622748878848's digits is 94
- More coming soon!
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"Number 138406622748878848 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138406622748878848 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138406622748878848/
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Numbermatics. 2024. "Number 138406622748878848 - Facts about the integer". https://numbermatics.com/n/138406622748878848/
The information we have on file for 138406622748878848 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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