138814054193485125
138,814,054,193,485,125 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138814054193485125 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
138814054193485125 is an odd 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 138814054193485125:
34 × 53 × 7 × 132 × 313 × 733
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 31 × 31 × 31 × 73 × 73 × 73)See below for interesting mathematical facts about the number 138814054193485125 from the Numbermatics database.
Names of 138814054193485125
- Cardinal: 138814054193485125 can be written as One hundred thirty-eight quadrillion, eight hundred fourteen trillion, fifty-four billion, one hundred ninety-three million, four hundred eighty-five thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38814054193485125 × 1017
Factors of 138814054193485125
Divisors of 138814054193485125
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 31 35 39 45 63 65 73 75 81 91 93 105 117 125 135 155 169 175 189 195 217 219 225 273 279 315 325 351 365 375 403 405 455 465 507 511 525 567 585 651 657 675 775 819 837 845 875 945 949 961 975 1053 1085 1095 1125 1183 1209 1365 1395 1521 1533 1575 1625 1755 1825 1953 1971 2015 2025 2263 2275 2325 2457 2511 2535 2555 2625 2821 2835 2847 2883 2925 3255 3285 3375 3549 3627 3875 4095 4185 4225 4563 4599 4725 4745 4805 4875 5239 5265 5329 5425 5475 5859 5913 5915 6045 6643 6727 6789 6825 6975 7371 7605 7665 7875 8463 8541 8649 8775 9125 9765 9855 10075 10125 10647 10881 11315 11375 11625 12285 12337 12493 12555 12675 12775 13689 13797 14105 14175 14235 14415 14625 15717 15841 15987 16275 16425 17577 17745 18135 19929 20181 20367 20475 20925 21125 22815 22995 23625 23725 24025 25389 25623 25947 26195 26325 26645 27125 27375 29295 29419 29565 29575 29791 30225 31941 32643 33215 33635 33945 34125 34875 36673 36855 37011 37303 37479 38025 38325 41391 42315 42705 43245 43875 47151 47523 47961 48825 49275 50375 53235 54405 56575 59787 60543 61101 61425 61685 62465 62775 63375 63875 68445 68985 69277 70153 70525 70875 71175 72075 76167 76869 77841 78585 79205 79935 81375 82125 86359 87451 87885 88257 88725 89373 90675 95823 99645 100905 101835 102375 104625 110019 111033 111909 112437 114075 114975 118625 120125 126945 128115 129735 130975 131625 133225 141453 142569 143883 146475 147095 147825 147875 148955 151125 159705 162409 163215 165199 166075 168175 169725 179361 181629 183303 183365 184275 185055 186515 187395 190125 191625 205933 206955 207831 208537 210459 211575 213525 216225 228501 235755 237615 239805 244125 246375 259077 262353 264771 266175 268119 272025 282875 298935 302715 305505 307125 308425 312325 313875 330057 333099 335727 337311 342225 344925 346385 350765 352625 355875 360375 380835 382447 384345 387283 389017 389205 392925 396025 399675 424359 427707 431649 431795 437255 439425 441285 443625 446865 453375 479115 484939 487227 491071 495597 498225 504525 509175 538083 544887 550095 555165 559545 562185 570375 574875 617799 623493 625611 631377 634725 640575 648675 654875 666125 707265 712845 719415 732375 735475 739125 744775 777231 787059 794313 798525 804357 812045 816075 825995 830375 840875 848625 896805 900601 908145 911989 916515 916825 921375 925275 932575 936975 990171 999297 1007181 1011933 1029665 1034775 1039155 1042685 1052295 1057875 1067625 1081125 1136863 1142505 1147341 1156393 1161849 1167051 1178775 1188075 1199025 1283121 1295385 1311765 1323855 1330875 1340595 1360125 1454817 1461681 1473213 1486791 1494675 1513575 1527525 1542125 1561625 1650285 1665495 1678635 1686555 1711125 1724625 1731925 1753825 1853397 1870479 1876833 1894131 1904175 1912235 1921725 1936415 1945085 1946025 1964625 1980125 1998375 2121795 2138535 2147587 2158245 2158975 2174743 2186275 2197125 2206425 2234325 2331693 2361177 2382939 2395575 2413071 2424695 2436135 2455355 2477985 2491125 2522625 2545875 2677129 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27782341825 28038400275 29630257839 29770056927 30004929171 30281472297 30291714635 30442045725 30570900945 30826982025 30957466605 31121624625 31408459875 31656258375 31805616375 33611354595 34019925667 34188759045 34515533325 34767616341 34951978425 35274116475 35720153775 37276775991 37748136699 38590814535 38946490245 39253760385 39648097125 39825615375 40013517375 40329205875 40700903625 42799261323 43340453247 43739904429 43971843825 44377114275 44527862925 44938257975 45941445875 46730667125 49383763065 49616761545 50008215285 50469120495 50736742875 50951501575 50976124875 51204362625 51378303375 51595777675 51851836125 54525086343 55027621701 55723439889 56018924325 56535227775 56981265075 57250109475 57525888875 57946027235 58253297375 58790194125 59533589625 62127959985 62913561165 63179861953 63493409655 63830095875 64296276795 64318024225 64637220375 64910817075 65422933975 69463466163 70103682441 70656768693 71332102205 71366574825 71686107675 72234088745 72592570575 72899840715 73286406375 73961857125 74213104875 74897096625 79149318885 80150153265 80489413173 81124438129 82306271775 82694602575 83347025475 84115200825 88890773517 90014787513 90875143905 91712702835 92872399815 93364873875 94225379625 94968775125 95416849125 102059777001 103546599975 104302849023 104855935275 105822349425 107160461325 108184695125 115772443605 116839470735 117761281155 118944291375 119476846125 120040552125 120987617625 121499734525 122102710875 128397783969 130021359741 131219713287 131915531475 133131342825 133583588775 134149021955 134814773925 137177119625 137824337625 138911709125 140192001375 148151289195 148850284635 150024645855 150659670811 151407361485 151458573175 152210228625 152854504725 154134910125 154787333025 163575259029 165082865103 167170319667 168056772975 170099628335 170943795225 172577666625 173838081705 174759892125 176370582375 178600768875 186383879955 187808630737 188740683495 189539585859 192954072675 194732451225 196268801925 208390398489 211970306079 213996306615 216702266235 218699522145 219859219125 221885571375 222639314625 224691289875 241468239519 243373314387 246918815325 248083807725 250041076425 252345602475 254757507875 257978888375 272625431715 275138108505 278617199445 280094621625 282676138875 284906325375 286250547375 289730136175 306179331003 310639799925 312908547069 314567805825 315899309765 317467048275 321481383975 321590121125 324554085375 327114669875 347317330815 350518412205 353283843465 356660511025 356832874125 358430538375 361170443725 362962852875 364499203575 385193351907 390064079223 393659139861 395746594425 400750766325 402447065865 405622190645 411531358875 413473012875 416735127375 420576004125 442259033671 444453867585 450073937565 451979012433 454375719525 458563514175 464361999075 490725777087 510298885005 517732999875 521514245115 524279676375 529111747125 535802306625 563425892211 568618757577 578862218025 584197353675 588806405775 607498672625 641988919845 650106798705 656098566435 659577657375 665656714125 667917943875 670745109775 674073869625 724404718557 730119943161 740756445975 744251423175 750123229275 753298354055 757036807425 757292865875 764272523625 773936665125 817876295145 825414325515 835851598335 840283864875 850498141675 854718976125 869190408525 918537993009 931919399775 938725641207 939043153685 943703417475 947697929295 964770363375 973662256125 981344009625 1041951992445 1054617695677 1059851530395 1069981533075 1083511331175 1093497610725 1155580055721 1170192237669 1207341197595 1216866571935 1234594076625 1240419038625 1250205382125 1261728012375 1326777101013 1355937037299 1363127158575 1375690542525 1393085997225 1448650680875 1530896655015 1553198999625 1564542735345 1572839029125 1579496548825 1587335241375 1607406919875 1690277676633 1705856272731 1736586654075 1752592061025 1766419217325 1783302555125 1805852218625 1822496017875 1925966759535 1950320396115 1958575720543 1968295699305 1978732972125 2003753831625 2012235329325 2028110953225 2173214155671 2190359829483 2211295168355 2222269337925 2250369687825 2259895062165 2271878597625 2292817570875 2321809995375 2453628885435 2551494425025 2607571225575 2755613979027 2817129461055 2843093787885 2894311090125 2920986768375 2944032028875 3163853087031 3209944599225 3250533993525 3280492832175 3353725548875 3622023592785 3650599715805 3703782229875 3721257115875 3750616146375 3766491770275 3785184037125 3980331303039 4067811111897 4089381475725 4127071627575 4179257991675 4252490708375 4345952042625 4592689965045 4659596998875 4693628206035 4695215768425 4718517087375 4738489646475 5070833029899 5117568818193 5209759962225 5273088478385 5299257651975 5349907665375 5417556655875 5467488053625 5777900278605 5850961188345 5875727161629 6036705987975 6084332859675 6571079488449 6633885505065 6779685186495 6815635792875 6878452712625 6965429986125 7654483275075 7822713676725 7897482744125 8451388383165 8529281363655 8682933270375 8762960305125 8832096086625 9491559261093 9629833797675 9751601980575 9792878602715 9841478496525 10061176646625 10140554766125 10866070778355 10951799147415 11056475841775 11111346689625 11251848439125 11299475310825 11940993909117 12203433335691 12268144427175 12757472125125 13037856127875 13710030043801 13778069895135 14085647305275 14215468939425 15212499089697 15819265435155 16049722996125 16252669967625 16402464160875 17627181484887 18110117963925 18252998579025 18832458851375 19901656515195 20339055559485 20446907378625 20635358137875 20896289958375 22963449825225 23468141030175 23476078842125 23692448232375 25354165149495 25587844090965 26048799811125 26365442391925 26496288259875 28474677783279 28889501393025 29254805941725 29378635808145 30183529939875 30421664298375 32855397442245 33169427525325 33898425932475 35822981727351 38272416375375 39113568383625 41130090131403 42256941915825 42646406818275 47457796305465 48149168988375 48758009902875 48964393013575 49207392482625 52881544454661 54330353891775 54758995737075 55282379208875 56497376554125 59704969545585 61017166678455 61340722135875 68550150219005 68890349475675 70428236526375 71077344697125 76062495448485 79096327175775 85424033349837 88135907424435 90550589819625 91264992895125 99508282575975 101695277797425 114817249126125 117340705150875 123390270394209 126770825747475 127939220454825 131827211959625 142373388916395 144447506965125 146274029708625 146893179040725 158644633363983 164276987211225 165847137626625 169492129662375 179114908636755 205650450657015 211284709579125 213232034091375 237288981527325 244821965067875 264407722273305 271651769458875 273794978685375 298524847727925 305085833392275 342750751095025 344451747378375 370170811182627 380312477242425 395481635878875 427120166749185 440679537122175 497541412879875 508476388987125 616951351971045 633854128737375 639696102274125 711866944581975 734465895203625 793223166819915 821384936056125 895574543183775 1028252253285075 1110512433547881 1186444907636625 1322038611366525 1492624238639625 1525429166961375 1713753755475125 1850854055913135 1901562386212125 2135600833745925 2203397685610875 3084756759855225 3559334722909875 3966115834099575 4477872715918875 5141261266425375 5552562167739405 6610193056832625 9254270279565675 10678004168729625 15423783799276125 19830579170497875 27762810838697025 46271351397828375 138814054193485125
- Sum of all divisors σ(n): 335532833594449920
- Sum of proper divisors (its aliquot sum) s(n): 196718779400964795
- 138814054193485125 is an abundant number, because the sum of its proper divisors (196718779400964795) is greater than itself. Its abundance is 57904725207479670
Bases of 138814054193485125
- Binary: 1111011010010101010100101100101100000100011010101010001012
- Hexadecimal: 0x1ED2AA59608D545
- Base-36: 11YTH44Y4RB9
Squares and roots of 138814054193485125
- 138814054193485125 squared (1388140541934851252) is 19269341641631825217329993596265625
- 138814054193485125 cubed (1388140541934851253) is 2674855434914259810035846373044916644316403986328125
-
The
square root of 138814054193485125 is 372577581.4424227069 -
The
cube root of 138814054193485125 is 517779.0560962153
Scales and comparisons
How big is 138814054193485125?- 138,814,054,193,485,125 seconds is equal to 4,413,857,543 years, 15 weeks, 22 hours, 18 minutes, 45 seconds.
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To count from 1 to 138,814,054,193,485,125 would take you about thirteen billion, two hundred forty-one million, five hundred seventy-two thousand, six hundred twenty-nine 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 138814054193485125 cubic inches would be around 43148.3 feet tall.
Recreational maths with 138814054193485125
- 138814054193485125 backwards is 521584391450418831
- The number of decimal digits it has is: 18
- The sum of 138814054193485125's digits is 72
- More coming soon!
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The information we have on file for 138814054193485125 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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