138255592807563264
138,255,592,807,563,264 is an even composite number composed of three prime numbers multiplied together.
What does the number 138255592807563264 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 1440 divisors.
138255592807563264 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138255592807563264:
215 × 39 × 118
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 11 × 11 × 11 × 11 × 11)See below for interesting mathematical facts about the number 138255592807563264 from the Numbermatics database.
Names of 138255592807563264
- Cardinal: 138255592807563264 can be written as One hundred thirty-eight quadrillion, two hundred fifty-five trillion, five hundred ninety-two billion, eight hundred seven million, five hundred sixty-three thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38255592807563264 × 1017
Factors of 138255592807563264
Divisors of 138255592807563264
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 121 128 132 144 162 176 192 198 216 242 243 256 264 288 297 324 352 363 384 396 432 484 486 512 528 576 594 648 704 726 729 768 792 864 891 968 972 1024 1056 1089 1152 1188 1296 1331 1408 1452 1458 1536 1584 1728 1782 1936 1944 2048 2112 2178 2187 2304 2376 2592 2662 2673 2816 2904 2916 3072 3168 3267 3456 3564 3872 3888 3993 4096 4224 4356 4374 4608 4752 5184 5324 5346 5632 5808 5832 6144 6336 6534 6561 6912 7128 7744 7776 7986 8019 8192 8448 8712 8748 9216 9504 9801 10368 10648 10692 11264 11616 11664 11979 12288 12672 13068 13122 13824 14256 14641 15488 15552 15972 16038 16384 16896 17424 17496 18432 19008 19602 19683 20736 21296 21384 22528 23232 23328 23958 24057 24576 25344 26136 26244 27648 28512 29282 29403 30976 31104 31944 32076 32768 33792 34848 34992 35937 36864 38016 39204 39366 41472 42592 42768 43923 45056 46464 46656 47916 48114 49152 50688 52272 52488 55296 57024 58564 58806 61952 62208 63888 64152 67584 69696 69984 71874 72171 73728 76032 78408 78732 82944 85184 85536 87846 88209 90112 92928 93312 95832 96228 98304 101376 104544 104976 107811 110592 114048 117128 117612 123904 124416 127776 128304 131769 135168 139392 139968 143748 144342 147456 152064 156816 157464 161051 165888 170368 171072 175692 176418 180224 185856 186624 191664 192456 202752 209088 209952 215622 216513 221184 228096 234256 235224 247808 248832 255552 256608 263538 264627 270336 278784 279936 287496 288684 294912 304128 313632 314928 322102 323433 331776 340736 342144 351384 352836 360448 371712 373248 383328 384912 395307 405504 418176 419904 431244 433026 442368 456192 468512 470448 483153 495616 497664 511104 513216 527076 529254 540672 557568 559872 574992 577368 608256 627264 629856 644204 646866 663552 681472 684288 702768 705672 743424 746496 766656 769824 790614 793881 811008 836352 839808 862488 866052 884736 912384 937024 940896 966306 970299 991232 995328 1022208 1026432 1054152 1058508 1081344 1115136 1119744 1149984 1154736 1185921 1216512 1254528 1259712 1288408 1293732 1327104 1362944 1368576 1405536 1411344 1449459 1486848 1492992 1533312 1539648 1581228 1587762 1622016 1672704 1679616 1724976 1732104 1771561 1824768 1874048 1881792 1932612 1940598 1982464 1990656 2044416 2052864 2108304 2117016 2230272 2239488 2299968 2309472 2371842 2381643 2433024 2509056 2519424 2576816 2587464 2654208 2725888 2737152 2811072 2822688 2898918 2910897 2973696 2985984 3066624 3079296 3162456 3175524 3244032 3345408 3359232 3449952 3464208 3543122 3557763 3649536 3748096 3763584 3865224 3881196 3964928 3981312 4088832 4105728 4216608 4234032 4348377 4460544 4478976 4599936 4618944 4743684 4763286 4866048 5018112 5038848 5153632 5174928 5314683 5451776 5474304 5622144 5645376 5797836 5821794 5947392 5971968 6133248 6158592 6324912 6351048 6690816 6718464 6899904 6928416 7086244 7115526 7299072 7496192 7527168 7730448 7762392 7962624 8177664 8211456 8433216 8468064 8696754 8732691 8921088 8957952 9199872 9237888 9487368 9526572 9732096 10036224 10077696 10307264 10349856 10629366 10673289 10903552 10948608 11244288 11290752 11595672 11643588 11894784 11943936 12266496 12317184 12649824 12702096 13045131 13381632 13436928 13799808 13856832 14172488 14231052 14598144 14992384 15054336 15460896 15524784 15944049 16355328 16422912 16866432 16936128 17393508 17465382 17842176 17915904 18399744 18475776 18974736 19053144 19487171 20072448 20155392 20614528 20699712 21258732 21346578 21807104 21897216 22488576 22581504 23191344 23287176 23887872 24532992 24634368 25299648 25404192 26090262 26198073 26763264 26873856 27599616 27713664 28344976 28462104 29196288 29984768 30108672 30921792 31049568 31888098 32019867 32710656 32845824 33732864 33872256 34787016 34930764 35684352 35831808 36799488 36951552 37949472 38106288 38974342 39135393 40144896 40310784 41229056 41399424 42517464 42693156 43614208 43794432 44977152 45163008 46382688 46574352 47832147 49065984 49268736 50599296 50808384 52180524 52396146 53526528 53747712 55199232 55427328 56689952 56924208 58461513 59969536 60217344 61843584 62099136 63776196 64039734 65421312 65691648 67465728 67744512 69574032 69861528 71663616 73598976 73903104 75898944 76212576 77948684 78270786 80289792 80621568 82458112 82798848 85034928 85386312 87588864 89954304 90326016 92765376 93148704 95664294 96059601 98131968 98537472 101198592 101616768 104361048 104792292 107053056 107495424 110398464 110854656 113379904 113848416 116923026 117406179 119939072 120434688 123687168 124198272 127552392 128079468 130842624 131383296 134931456 135489024 139148064 139723056 143496441 147197952 147806208 151797888 152425152 155897368 156541572 160579584 161243136 164916224 165597696 170069856 170772624 175384539 179908608 180652032 185530752 186297408 191328588 192119202 196263936 197074944 202397184 203233536 208722096 209584584 214358881 214990848 220796928 221709312 226759808 227696832 233846052 234812358 239878144 240869376 247374336 248396544 255104784 256158936 262766592 269862912 270978048 278296128 279446112 286992882 288178803 294395904 295612416 303595776 304850304 311794736 313083144 321159168 322486272 329832448 331195392 340139712 341545248 350769078 352218537 359817216 361304064 371061504 372594816 382657176 384238404 392527872 394149888 404794368 406467072 417444192 419169168 428717762 430489323 441593856 443418624 453519616 455393664 467692104 469624716 479756288 481738752 494748672 496793088 510209568 512317872 526153617 539725824 541956096 556592256 558892224 573985764 576357606 588791808 591224832 607191552 609700608 623589472 626166288 643076643 644972544 659664896 662390784 680279424 683090496 701538156 704437074 719634432 722608128 742123008 745189632 765314352 768476808 788299776 809588736 812934144 834888384 838338336 857435524 860978646 883187712 886837248 907039232 910787328 935384208 939249432 963477504 989497344 993586176 1020419136 1024635744 1052307234 1056655611 1079451648 1083912192 1113184512 1117784448 1147971528 1152715212 1177583616 1182449664 1214383104 1219401216 1247178944 1252332576 1286153286 1291467969 1319329792 1324781568 1360558848 1366180992 1403076312 1408874148 1439268864 1445216256 1484246016 1490379264 1530628704 1536953616 1578460851 1619177472 1625868288 1669776768 1676676672 1714871048 1721957292 1766375424 1773674496 1814078464 1821574656 1870768416 1878498864 1929229929 1978994688 1987172352 2040838272 2049271488 2104614468 2113311222 2158903296 2167824384 2226369024 2235568896 2295943056 2305430424 2364899328 2428766208 2438802432 2494357888 2504665152 2572306572 2582935938 2638659584 2649563136 2721117696 2732361984 2806152624 2817748296 2890432512 2968492032 2980758528 3061257408 3073907232 3156921702 3169966833 3238354944 3251736576 3339553536 3353353344 3429742096 3443914584 3532750848 3547348992 3628156928 3643149312 3741536832 3756997728 3858459858 3874403907 3957989376 3974344704 4081676544 4098542976 4209228936 4226622444 4317806592 4335648768 4452738048 4471137792 4591886112 4610860848 4735382553 4857532416 4877604864 4988715776 5009330304 5144613144 5165871876 5277319168 5299126272 5442235392 5464723968 5612305248 5635496592 5787689787 5936984064 5961517056 6122514816 6147814464 6313843404 6339933666 6476709888 6503473152 6679107072 6706706688 6859484192 6887829168 7094697984 7256313856 7286298624 7483073664 7513995456 7716919716 7748807814 7915978752 7948689408 8163353088 8197085952 8418457872 8453244888 8671297536 8905476096 8942275584 9183772224 9221721696 9470765106 9715064832 9755209728 9977431552 10018660608 10289226288 10331743752 10598252544 10884470784 10929447936 11224610496 11270993184 11575379574 11623211721 11873968128 11923034112 12245029632 12295628928 12627686808 12679867332 12953419776 13006946304 13358214144 13413413376 13718968384 13775658336 14206147659 14512627712 14572597248 14966147328 15027990912 15433839432 15497615628 15831957504 15897378816 16326706176 16394171904 16836915744 16906489776 17363069361 17810952192 17884551168 18367544448 18443443392 18941530212 19430129664 19510419456 19954863104 20037321216 20578452576 20663487504 21768941568 21858895872 22449220992 22541986368 23150759148 23246423442 23747936256 23846068224 24490059264 24591257856 25255373616 25359734664 26013892608 26716428288 26826826752 27437936768 27551316672 28412295318 29025255424 29145194496 29932294656 30055981824 30867678864 30995231256 31794757632 32653412352 32788343808 33673831488 33812979552 34726138722 34869635163 35621904384 35769102336 36735088896 36886886784 37883060424 38860259328 39020838912 39909726208 40074642432 41156905152 41326975008 42618442977 43537883136 43717791744 44898441984 45083972736 46301518296 46492846884 47495872512 47692136448 48980118528 49182515712 50510747232 50719469328 52089208083 53432856576 53653653504 54875873536 55102633344 56824590636 58050510848 58290388992 59864589312 60111963648 61735357728 61990462512 65306824704 65576687616 67347662976 67625959104 69452277444 69739270326 71243808768 71538204672 73470177792 73773773568 75766120848 78041677824 79819452416 80149284864 82313810304 82653950016 85236885954 87075766272 87435583488 89796883968 90167945472 92603036592 92985693768 95384272896 97960237056 98365031424 101021494464 101438938656 104178416166 106865713152 107307307008 109751747072 110205266688 113649181272 116580777984 119729178624 120223927296 123470715456 123980925024 127855328931 130613649408 131153375232 134695325952 135251918208 138904554888 139478540652 142487617536 143076409344 146940355584 147547547136 151532241696 156267624249 159638904832 160298569728 164627620608 165307900032 170473771908 174151532544 174871166976 179593767936 180335890944 185206073184 185971387536 195920474112 196730062848 202042988928 202877877312 208356832332 213731426304 214614614016 219503494144 220410533376 227298362544 239458357248 240447854592 246941430912 247961850048 255710657862 261227298816 262306750464 269390651904 270503836416 277809109776 278957081304 286152818688 293880711168 295095094272 303064483392 312535248498 319277809664 320597139456 329255241216 330615800064 340947543816 349742333952 359187535872 360671781888 370412146368 371942775072 383565986793 391840948224 393460125696 404085977856 405755754624 416713664664 427462852608 429229228032 439006988288 440821066752 454596725088 468802872747 478916714496 480895709184 493882861824 495923700096 511421315724 522454597632 524613500928 538781303808 541007672832 555618219552 557914162608 587761422336 590190188544 606128966784 625070496996 638555619328 641194278912 658510482432 661231600128 681895087632 718375071744 721343563776 740824292736 743885550144 767131973586 783681896448 786920251392 808171955712 811511509248 833427329328 858458456064 878013976576 881642133504 909193450176 937605745494 957833428992 961791418368 987765723648 991847400192 1022842631448 1049227001856 1077562607616 1082015345664 1111236439104 1115828325216 1175522844672 1180380377088 1212257933568 1250140993992 1282388557824 1317020964864 1322463200256 1363790175264 1406408618241 1436750143488 1442687127552 1481648585472 1487771100288 1534263947172 1567363792896 1573840502784 1616343911424 1623023018496 1666854658656 1756027953152 1763284267008 1818386900352 1875211490988 1915666857984 1923582836736 1975531447296 1983694800384 2045685262896 2155125215232 2164030691328 2222472878208 2231656650432 2351045689344 2360760754176 2424515867136 2500281987984 2634041929728 2644926400512 2727580350528 2812817236482 2873500286976 2885374255104 2963297170944 2975542200576 3068527894344 3147681005568 3232687822848 3246046036992 3333709317312 3512055906304 3526568534016 3636773800704 3750422981976 3847165673472 3951062894592 3967389600768 4091370525792 4219225854723 4310250430464 4328061382656 4444945756416 4463313300864 4702091378688 4721521508352 4849031734272 5000563975968 5268083859456 5289852801024 5455160701056 5625634472964 5747000573952 5770748510208 5926594341888 5951084401152 6137055788688 6465375645696 6492092073984 6667418634624 7024111812608 7053137068032 7273547601408 7500845963952 7902125789184 7934779201536 8182741051584 8438451709446 8620500860928 8656122765312 8889891512832 8926626601728 9443043016704 9698063468544 10001127951936 10536167718912 10579705602048 10910321402112 11251268945928 11541497020416 11853188683776 11902168802304 12274111577376 12930751291392 12984184147968 13334837269248 14106274136064 14547095202816 15001691927904 15804251578368 15869558403072 16365482103168 16876903418892 17241001721856 17312245530624 17779783025664 17853253203456 19396126937088 20002255903872 21072335437824 21159411204096 21820642804224 22502537891856 23706377367552 23804337604608 24548223154752 25861502582784 25968368295936 26669674538496 29094190405632 30003383855808 31608503156736 31739116806144 32730964206336 33753806837784 34624491061248 35559566051328 35706506406912 38792253874176 40004511807744 42318822408192 43641285608448 45005075783712 47412754735104 47608675209216 49096446309504 51723005165568 51936736591872 53339349076992 58188380811264 60006767711616 63217006313472 63478233612288 65461928412672 67507613675568 71119132102656 71413012813824 77584507748352 80009023615488 87282571216896 90010151567424 94825509470208 95217350418432 98192892619008 103873473183744 106678698153984 116376761622528 120013535423232 126956467224576 130923856825344 135015227351136 142238264205312 142826025627648 155169015496704 160018047230976 174565142433792 180020303134848 189651018940416 190434700836864 196385785238016 213357396307968 232753523245056 240027070846464 261847713650688 270030454702272 284476528410624 285652051255296 320036094461952 349130284867584 360040606269696 380869401673728 392771570476032 426714792615936 465507046490112 480054141692928 523695427301376 540060909404544 568953056821248 571304102510592 640072188923904 698260569735168 720081212539392 785543140952064 853429585231872 960108283385856 1047390854602752 1080121818809088 1142608205021184 1280144377847808 1396521139470336 1440162425078784 1571086281904128 1706859170463744 1920216566771712 2094781709205504 2160243637618176 2560288755695616 2880324850157568 3142172563808256 3840433133543424 4189563418411008 4320487275236352 5120577511391232 5760649700315136 6284345127616512 7680866267086848 8640974550472704 11521299400630272 12568690255233024 15361732534173696 17281949100945408 23042598801260544 34563898201890816 46085197602521088 69127796403781632 138255592807563264
- Sum of all divisors σ(n): 456228767943716460
- Sum of proper divisors (its aliquot sum) s(n): 317973175136153196
- 138255592807563264 is an abundant number, because the sum of its proper divisors (317973175136153196) is greater than itself. Its abundance is 179717582328589932
Bases of 138255592807563264
- Binary: 1111010110010111010111010101010011000000110000000000000002
- Hexadecimal: 0x1EB2EBAA9818000
- Base-36: 11TBIMIO0000
Squares and roots of 138255592807563264
- 138255592807563264 squared (1382555928075632642) is 19114608942570738935703001362333696
- 138255592807563264 cubed (1382555928075632643) is 2642701590639867501179082875334453556790678198943744
-
The
square root of 138255592807563264 is 371827369.6321496773 -
The
cube root of 138255592807563264 is 517083.7656669921
Scales and comparisons
How big is 138255592807563264?- 138,255,592,807,563,264 seconds is equal to 4,396,100,198 years, 33 weeks, 6 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 138,255,592,807,563,264 would take you about thirteen billion, one hundred eighty-eight million, three hundred thousand, five hundred ninety-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 138255592807563264 cubic inches would be around 43090.3 feet tall.
Recreational maths with 138255592807563264
- 138255592807563264 backwards is 462365708295552831
- 138255592807563264 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138255592807563264's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138255592807563264 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
APA style:
Numbermatics. (2024). Number 138255592807563264 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/138255592807563264/
Chicago style:
Numbermatics. 2024. "Number 138255592807563264 - Facts about the integer". https://numbermatics.com/n/138255592807563264/
The information we have on file for 138255592807563264 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!
Keywords: Divisors of 138255592807563264, math, Factors of 138255592807563264, curriculum, school, college, exams, university, Prime factorization of 138255592807563264, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred fifty-five trillion, five hundred ninety-two billion, eight hundred seven million, five hundred sixty-three thousand, two hundred sixty-four.