138322428618734217
138,322,428,618,734,217 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138322428618734217 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 840 divisors.
138322428618734217 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 138322428618734217:
33 × 116 × 134 × 19 × 732
(3 × 3 × 3 × 11 × 11 × 11 × 11 × 11 × 11 × 13 × 13 × 13 × 13 × 19 × 73 × 73)See below for interesting mathematical facts about the number 138322428618734217 from the Numbermatics database.
Names of 138322428618734217
- Cardinal: 138322428618734217 can be written as One hundred thirty-eight quadrillion, three hundred twenty-two trillion, four hundred twenty-eight billion, six hundred eighteen million, seven hundred thirty-four thousand, two hundred seventeen.
Scientific notation
- Scientific notation: 1.38322428618734217 × 1017
Factors of 138322428618734217
Divisors of 138322428618734217
- Number of divisors d(n): 840
-
Complete list of divisors:
1 3 9 11 13 19 27 33 39 57 73 99 117 121 143 169 171 209 219 247 297 351 363 429 507 513 627 657 741 803 949 1089 1287 1331 1387 1521 1573 1859 1881 1971 2197 2223 2299 2409 2717 2847 3211 3267 3861 3993 4161 4563 4719 5329 5577 5643 6591 6669 6897 7227 8151 8541 8833 9633 10439 11979 12337 12483 14157 14641 15257 15987 16731 17303 18031 19773 20449 20691 21681 24167 24453 25289 25623 26499 28561 28899 29887 31317 35321 35937 37011 37449 41743 42471 43923 45771 47961 50193 51909 54093 58619 59319 61347 62073 69277 72501 73359 75867 79497 85683 86697 89661 93951 97163 101251 105963 111033 114829 125229 131769 135707 137313 143883 155727 160381 161051 162279 167827 175857 184041 190333 198341 207831 217503 224939 227601 234403 238491 257049 265837 268983 278179 281853 291489 303753 314171 317889 328757 333099 344487 375687 388531 395307 407121 411939 459173 467181 481143 483153 486837 503481 527571 542659 552123 570999 595023 623493 644809 652509 674817 682803 703209 762047 771147 797511 806949 834537 874467 900601 911259 942513 953667 986271 1033461 1068793 1113761 1127061 1165593 1221363 1263119 1316263 1377519 1443429 1449459 1492777 1510443 1582713 1627977 1712997 1764191 1771561 1785069 1846097 1870479 1934427 2024451 2084953 2093663 2109627 2181751 2286141 2392533 2474329 2503611 2578433 2623401 2701803 2733777 2827539 2924207 2958813 3047239 3059969 3100383 3206379 3341283 3455881 3496779 3616327 3664089 3789357 3948789 4132557 4273841 4330287 4348377 4478331 4531329 4883931 5050903 5138991 5292573 5314683 5355207 5538291 5803281 5969249 6073353 6254859 6280989 6328881 6545253 6858423 7092899 7177599 7422987 7510833 7735299 8105409 8382517 8482617 8772621 8876439 9141717 9179907 9619137 9906611 10023849 10367643 10490337 10848981 11368071 11707813 11756723 11846367 12251371 12397671 12821523 13434993 13894309 14478893 14651793 15152709 15877719 15944049 16420547 16614873 17111419 17409843 17907747 18764577 18842967 19406101 19635759 20307067 20575269 21278697 22268961 22934483 23030293 23205897 23999261 24316227 25147551 26317863 27217619 27425151 27539721 28362763 28857411 29719833 30071547 31102929 32166277 32546943 33519629 33659659 34104213 35123439 35270169 35539101 36754113 38014691 38464569 39614107 39779597 40304979 41682927 43436679 45458127 47012251 47633157 47832147 49261641 49844619 51334257 53723241 55559933 56293731 56528901 58218303 58907277 60921201 63836091 65661739 66806883 68803449 69090879 69617691 71997783 75442653 78021889 78953589 81652857 82275453 82619163 85088289 89159499 92207687 93308787 96498831 97640829 100558887 100978977 105370317 105810507 108972721 110262339 114044073 115393707 118842321 119338791 125048781 128785943 129323953 130310037 134765081 136374381 141036753 147784923 152201569 152837399 154002771 159267823 161169723 166679799 174654909 180626017 182763603 188225609 191508273 196985217 206410347 207272637 213467111 215993349 222448447 223377737 226327959 234065667 244958571 252279313 255264867 263991871 267478497 276623061 289496493 299393809 301676661 302936931 311990393 316110951 317431521 326918163 330787017 342132219 353829047 356526963 358016373 368715919 375146343 386357829 387971859 390930111 404295243 418161601 423110259 435755177 437575567 443354769 456604707 458512197 462008313 477803469 500039397 517134761 523964727 541878051 548290809 564676827 590955651 611159263 619231041 621817911 640401333 647980047 667345341 670133211 702197001 722279129 734875713 756837939 765794601 791975613 829869183 858240779 868489479 898181427 905029983 908810793 935971179 980754489 1014284557 1026396657 1061487141 1069580889 1074049119 1106147757 1159073487 1163915577 1198699931 1212885729 1254484803 1269330777 1307265531 1312726701 1369814121 1375536591 1416645373 1433410407 1482415891 1500118191 1551404283 1625634153 1674217259 1681211389 1694030481 1751946053 1772866953 1833477789 1921203999 1986886187 2002036023 2010399633 2070481699 2106591003 2166837387 2270513817 2348138221 2375926839 2446932917 2457155107 2489607549 2574722337 2694544281 2775072443 2807913537 2891829811 2903910581 2942263467 3042853671 3184461423 3318443271 3431894323 3477220461 3491746731 3596099793 3638657187 3763454409 3892119517 3921796593 3938180103 4055875109 4109442363 4126609773 4249936119 4300231221 4447247673 4599777611 4654212849 4793306947 4876902459 5022651777 5043634167 5082091443 5255838159 5500433367 5688482371 5763611997 5960658561 6006108069 6031198899 6211445097 6500512161 6722751893 6811541451 7044414663 7127780517 7340798751 7371465321 7724167011 7945070419 8083632843 8325217329 8423740611 8675489433 8711731743 9128561013 9440648569 9553384269 9955329813 10295682969 10788299379 11157130127 11290363227 11676358551 11765389779 11814540309 12167625327 12749808357 13185699241 13341743019 13799332833 13962638547 14379920841 15067955331 15130902501 15583099103 15767514477 16306574801 16501300101 17065447113 17881975683 18416389849 18634335291 19271406583 19501536483 20168255679 21133243989 21855748057 22022396253 22114395963 22775298689 23172501033 23835211257 24975651987 25829520431 26026468299 26135195229 26916262087 27385683039 28321945707 30525796873 30887048907 31810127921 31943016391 32364898137 33471390381 35029075653 36502875981 37750837553 38249425071 39557097723 40025229057 41397998499 43139762523 44614626199 45203865993 45392707503 46749297309 47302543431 48919724403 50597553721 51196341339 52726376417 53645927049 55249169547 55903005873 57814219749 60504767037 63399731967 65567244171 66067188759 66343187889 68325896067 71505633771 73950270823 74926955961 77488561293 78079404897 78405585687 80748786261 84965837121 87395774609 91577390619 92661146721 95430383763 95829049173 100414171143 105087226959 109508627943 113252512659 118671293169 122728431397 124193995497 129419287569 133843878597 140247891927 145042691651 146759173209 151792661163 153589024017 158179129251 165747508641 171414090133 173442659247 179372322811 181514301111 196701732513 202580288339 204977688201 211985472413 214516901313 221850812469 232465683879 242246358783 250528285579 254897511363 262187323827 274732171857 284124724741 286291151289 287487147519 296078882957 301242513429 335783765603 339757537977 349911407131 356013879507 368185294191 401531635791 415259213083 420743675781 435128074953 440277519627 455377983489 474537387753 490760888189 497242525923 514242270399 520327977741 538116968433 579990140587 590105197539 607740865017 614933064603 635956417239 665552437407 697397051637 726739076349 751584856737 786561971481 824196515571 852374174223 858873453867 862461442557 888236648871 961353520699 1007351296809 1019272613931 1049734221393 1104555882573 1204594907373 1245777639249 1305384224859 1366133950467 1423612163259 1472282664567 1542726811197 1595469608161 1614350905299 1739970421761 1823222595051 1885554991463 1907869251717 1996657312221 2228383171729 2254754570211 2331840196543 2359685914443 2557122522669 2664709946613 2755811141369 2884060562097 3022053890427 3149202664179 3256867712527 3313667647719 3693621421633 3737332917747 3849025478441 3916152674577 4416847993701 4628180433591 4786408824483 4843052715897 5219911265283 5398369770079 5469667785153 5656664974389 5723607755151 6379891546457 6685149515187 6764263710633 6995520589629 7671367568007 7994129839839 8267433424107 8652181686291 9066161671281 9447607992537 9770603137581 11080864264899 11211998753241 11547076435323 13250543981103 14359226473449 15659733795849 16195109310237 16969994923167 19139674639371 20055448545561 20741104906093 20986561768887 24512214889019 24802300272321 25956545058873 29311809412743 30313922555059 33242592794697 34641229305969 35825544837797 42339280262851 43077679420347 48585327930711 50909984769501 57419023918113 60166345636683 62223314718279 62959685306661 70178807011027 73536644667057 74406900816963 87935428238229 90941767665177 99727778384091 103923687917907 107476634513391 127017840788553 145755983792133 172257071754339 186669944154837 210536421033081 220609934001171 269634363779209 272825302995531 322429903540173 381053522365659 394080993215767 465732082891361 560009832464511 631609263099243 661829802003513 808903091337627 818475908986593 967289710620519 1143160567096977 1182242979647301 1397196248674083 1894827789297729 2426709274012881 3546728938941903 4191588746022249 5123052911804971 7280127822038643 10640186816825709 12574766238066747 15369158735414913 46107476206244739 138322428618734217
- Sum of all divisors σ(n): 260620200257512800
- Sum of proper divisors (its aliquot sum) s(n): 122297771638778583
- 138322428618734217 is a deficient number, because the sum of its proper divisors (122297771638778583) is less than itself. Its deficiency is 16024656979955634
Bases of 138322428618734217
- Binary: 1111010110110101110000100000101100100100111111010100010012
- Hexadecimal: 0x1EB6B841649FA89
- Base-36: 11TZ7IGSBKW9
Squares and roots of 138322428618734217
- 138322428618734217 squared (1383224286187342172) is 19133094258984822747069783286603089
- 138322428618734217 cubed (1383224286187342173) is 2646536064893941592644491826928770548976140862196313
-
The
square root of 138322428618734217 is 371917233.5597454093 -
The
cube root of 138322428618734217 is 517167.0754864809
Scales and comparisons
How big is 138322428618734217?- 138,322,428,618,734,217 seconds is equal to 4,398,225,370 years, 37 weeks, 1 hour, 16 minutes, 57 seconds.
-
To count from 1 to 138,322,428,618,734,217 would take you about thirteen billion, one hundred ninety-four million, six hundred seventy-six thousand, one hundred twelve 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 138322428618734217 cubic inches would be around 43097.3 feet tall.
Recreational maths with 138322428618734217
- 138322428618734217 backwards is 712437816824223831
- The number of decimal digits it has is: 18
- The sum of 138322428618734217's digits is 72
- More coming soon!
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The information we have on file for 138322428618734217 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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