138368283808792576
138,368,283,808,792,576 is an even composite number composed of five prime numbers multiplied together.
138368283808792576 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138368283808792576:
215 × 7 × 113 × 612 × 3492
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 61 × 61 × 349 × 349)See below for interesting mathematical facts about the number 138368283808792576 from the Numbermatics database.
Names of 138368283808792576
- Cardinal: 138368283808792576 can be written as One hundred thirty-eight quadrillion, three hundred sixty-eight trillion, two hundred eighty-three billion, eight hundred eight million, seven hundred ninety-two thousand, five hundred seventy-six.
Scientific notation
- Scientific notation: 1.38368283808792576 × 1017
Factors of 138368283808792576
Divisors of 138368283808792576
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 77 88 112 121 122 128 154 176 224 242 244 256 308 349 352 427 448 484 488 512 616 671 698 704 847 854 896 968 976 1024 1232 1331 1342 1396 1408 1694 1708 1792 1936 1952 2048 2443 2464 2662 2684 2792 2816 3388 3416 3584 3721 3839 3872 3904 4096 4697 4886 4928 5324 5368 5584 5632 6776 6832 7168 7381 7442 7678 7744 7808 8192 9317 9394 9772 9856 10648 10736 11168 11264 13552 13664 14336 14762 14884 15356 15488 15616 16384 18634 18788 19544 19712 21289 21296 21472 22336 22528 26047 26873 27104 27328 28672 29524 29768 30712 30976 31232 32768 37268 37576 39088 39424 40931 42229 42578 42592 42944 44672 45056 51667 52094 53746 54208 54656 57344 59048 59536 61424 61952 62464 74536 75152 78176 78848 81191 81862 84458 85156 85184 85888 89344 90112 103334 104188 107492 108416 109312 114688 118096 119072 121801 122848 123904 124928 149023 149072 150304 156352 157696 162382 163724 168916 170312 170368 171776 178688 180224 206668 208376 214984 216832 218624 229376 234179 236192 238144 243602 245696 247808 249856 286517 295603 298046 298144 300608 312704 315392 324764 327448 337832 340624 340736 343552 357376 360448 413336 416752 429968 433664 437248 450241 464519 468358 472384 476288 487204 491392 495616 499712 568337 573034 591206 596092 596288 601216 625408 630784 649528 654896 675664 681248 681472 687104 714752 826672 833504 852607 859936 867328 874496 900482 929038 936716 944768 952576 974408 982784 991232 999424 1136674 1146068 1182412 1192184 1192576 1202432 1250816 1261568 1298629 1299056 1309792 1339811 1351328 1362496 1362944 1374208 1429504 1639253 1653344 1667008 1705214 1719872 1734656 1748992 1800964 1858076 1873432 1889536 1905152 1948816 1965568 1982464 1998848 2273348 2292136 2364824 2384368 2385152 2404864 2501632 2523136 2575969 2597258 2598112 2619584 2679622 2702656 2724992 2725888 2748416 2859008 3151687 3251633 3278506 3306688 3334016 3410428 3439744 3469312 3497984 3601928 3716152 3746864 3779072 3810304 3897632 3931136 3964928 4546696 4584272 4729648 4768736 4770304 4809728 4952651 5003264 5151938 5194516 5196224 5239168 5359244 5405312 5449984 5451776 5496832 5718016 6303374 6503266 6557012 6613376 6668032 6820856 6879488 6938624 6995968 7203856 7429861 7432304 7493728 7558144 7620608 7795264 7862272 9090403 9093392 9168544 9378677 9459296 9537472 9540608 9619456 9905302 10006528 10303876 10389032 10392448 10478336 10718488 10810624 10899968 10903552 10993664 11436032 12606748 13006532 13114024 13226752 13336064 13641712 13758976 13877248 13991936 14284919 14407712 14737921 14859722 14864608 14987456 15116288 15241216 15590528 15724544 18031783 18180806 18186784 18337088 18757354 18918592 19074944 19081216 19238912 19810604 20013056 20607752 20778064 20784896 20956672 21436976 21621248 21799936 21807104 21987328 25213496 26013064 26228048 26453504 26672128 27283424 27517952 27754496 28335659 28569838 28815424 29475842 29719444 29729216 29974912 30232576 30482432 31181056 31449088 34668557 36063566 36361612 36373568 36674176 37514708 37837184 38149888 38162432 38477824 39621208 40026112 41215504 41556128 41569792 41913344 42873952 43242496 43599872 43614208 50426992 52009027 52026128 52456096 52907008 53344256 54566848 55035904 56671318 57139676 57630848 58951684 59438888 59458432 59949824 60465152 60964864 62362112 62898176 69337114 72127132 72723224 72747136 73348352 75029416 75674368 76299776 76324864 76955648 79242416 80052224 81728471 82431008 83112256 83139584 83826688 85747904 86484992 87199744 99994433 100853984 103165447 104018054 104052256 104912192 105814016 106688512 109133696 110071808 113342636 114279352 115261696 117903368 118877776 118916864 119899648 120930304 121929728 124724224 125796352 138674228 144254264 145446448 145494272 146696704 150058832 151348736 152599552 152649728 153911296 157134109 158484832 162117131 163456942 164862016 166224512 166279168 167653376 171495808 172969984 174399488 198349613 199988866 201707968 206330894 208036108 208104512 209824384 211628032 213377024 218267392 220143616 226685272 228558704 230523392 235806736 237755552 237833728 239799296 241860608 249448448 277348456 288508528 290892896 290988544 293393408 300117664 302697472 305199104 305299456 314268218 316969664 324234262 326913884 329724032 332449024 332558336 335306752 342991616 345939968 348798976 396699226 399977732 403415936 412661788 416072216 416209024 419648768 423256064 426754048 436534784 440287232 453221521 453370544 457117408 461046784 471613472 475511104 475667456 479598592 498896896 554696912 572099297 577017056 581785792 581977088 586786816 600235328 605394944 610398208 628536436 633939328 648468524 653827768 659448064 664898048 665116672 670613504 685983232 691879936 697597952 793398452 799955464 806831872 825323576 832144432 832418048 839297536 846512128 853508096 873069568 880574464 899013181 906443042 906741088 914234816 922093568 943226944 951022208 951334912 959197184 997793792 1099938763 1109393824 1134819917 1144198594 1154034112 1163571584 1163954176 1173573632 1200470656 1210789888 1220796416 1257072872 1267878656 1296937048 1307655536 1318896128 1329796096 1330233344 1341227008 1371966464 1383759872 1586796904 1599910928 1613663744 1650647152 1664288864 1664836096 1678595072 1693024256 1728475199 1746139136 1798026362 1812886084 1813482176 1828469632 1844187136 1886453888 1902044416 1902669824 1918394368 1995587584 2199877526 2218787648 2269639834 2288397188 2308068224 2327143168 2327908352 2347147264 2400941312 2421579776 2441592832 2514145744 2535757312 2593874096 2615311072 2637792256 2659592192 2660466688 2743932928 3172550647 3173593808 3199821856 3227327488 3301294304 3328577728 3329672192 3357190144 3456950398 3492278272 3596052724 3625772168 3626964352 3656939264 3688374272 3772907776 3804088832 3805339648 3836788736 3991175168 4399755052 4437575296 4539279668 4576794376 4616136448 4654286336 4655816704 4694294528 4801882624 4843159552 4883185664 4985436731 5028291488 5071514624 5187748192 5230622144 5275584512 5319184384 5487865856 6293092267 6345101294 6347187616 6399643712 6454654976 6602588608 6657155456 6659344384 6714380288 6913900796 6984556544 7192105448 7251544336 7253928704 7313878528 7376748544 7545815552 7608177664 7610679296 7673577472 8799510104 8875150592 9078559336 9153588752 9232272896 9308572672 9311633408 9388589056 9603765248 9686319104 9889144991 9970873462 10056582976 10143029248 10375496384 10461244288 10551169024 10638368768 10975731712 12099326393 12586184534 12690202588 12694375232 12799287424 12909309952 13205177216 13314310912 13318688768 13428760576 13827801592 13969113088 14384210896 14503088672 14507857408 14627757056 14753497088 15091631104 15216355328 15221358592 17599020208 17750301184 18157118672 18307177504 18464545792 18617145344 18623266816 19207530496 19778289982 19941746924 20113165952 20286058496 20750992768 20922488576 21102338048 21276737536 21951463424 24198652786 25172369068 25380405176 25388750464 25598574848 25818619904 26410354432 26628621824 26637377536 26857521152 27655603184 27938226176 28768421792 29006177344 29015714816 29255514112 30183262208 30432710656 34898057117 35198040416 35500602368 36314237344 36614355008 36929091584 37234290688 38415060992 39556579964 39883493848 40226331904 40572116992 41501985536 41844977152 42204676096 42553475072 43902926848 48397305572 50344738136 50760810352 50777500928 51197149696 51637239808 52820708864 53257243648 53274755072 53715042304 54839804041 55311206368 57536843584 58012354688 58031429632 58511028224 60366524416 60865421312 69224014937 69796114234 70396080832 71001204736 72628474688 73228710016 73858183168 74468581376 76830121984 79113159928 79766987696 80452663808 81144233984 83003971072 83689954304 84409352192 96794611144 100689476272 101521620704 101555001856 102394299392 103274479616 105641417728 106514487296 106549510144 109679608082 110622412736 115073687168 116024709376 116062859264 117022056448 120733048832 121730842624 138448029874 139592228468 140792161664 142002409472 145256949376 146457420032 147716366336 148937162752 153660243968 158226319856 159533975392 160905327616 162288467968 166007942144 167379908608 193589222288 201378952544 203043241408 203110003712 204788598784 211282835456 213028974592 219359216164 221244825472 230147374336 232049418752 232125718528 234044112896 241466097664 243461685248 276896059748 279184456936 281584323328 284004818944 290513898752 292914840064 295432732672 297874325504 307320487936 316452639712 319067950784 321810655232 332015884288 334759817216 383878628287 387178444576 402757905088 406086482816 406220007424 409577197568 422565670912 426057949184 438718432328 442489650944 460294748672 464098837504 464251437056 468088225792 482932195328 553792119496 558368913872 563168646656 568009637888 581027797504 585829680128 590865465344 603237844451 632905279424 638135901568 643621310464 664031768576 669519634432 767757256574 774356889152 805515810176 812172965632 812440014848 819154395136 845131341824 852115898368 877436864656 884979301888 920589497344 928197675008 928502874112 1107584238992 1116737827744 1126337293312 1136019275776 1162055595008 1171659360256 1206475688902 1265810558848 1276271803136 1287242620928 1328063537152 1339039268864 1535514513148 1548713778304 1611031620352 1624345931264 1624880029696 1638308790272 1690262683648 1704231796736 1754873729312 1769958603776 1841178994688 1856395350016 2215168477984 2233475655488 2252674586624 2324111190016 2343318720512 2412951377804 2531621117696 2552543606272 2574485241856 2656127074304 2678078537728 3071029026296 3097427556608 3222063240704 3248691862528 3249760059392 3276617580544 3380525367296 3509747458624 3539917207552 3682357989376 3712790700032 4222664911157 4430336955968 4466951310976 4505349173248 4648222380032 4686637441024 4825902755608 5063242235392 5105087212544 5148970483712 5312254148608 6142058052592 6194855113216 6444126481408 6497383725056 6499520118784 7019494917248 7079834415104 7364715978752 7425581400064 8445329822314 8860673911936 8933902621952 9010698346496 9296444760064 9373274882048 9651805511216 10126484470784 10210174425088 12284116105184 12389710226432 12888252962816 12994767450112 14038989834496 14159668830208 14729431957504 14851162800128 16890659644628 17721347823872 17867805243904 18021396692992 18592889520128 18746549764096 19303611022432 20252968941568 20420348850176 24568232210368 24779420452864 25776505925632 25989534900224 28077979668992 28319337660416 29458863915008 33781319289256 35442695647744 35735610487808 36042793385984 37185779040256 38607222044864 40505937883136 40840697700352 49136464420736 49558840905728 51553011851264 51979069800448 56155959337984 56638675320832 67562638578512 70885391295488 71471220975616 77214444089728 81011875766272 81681395400704 98272928841472 99117681811456 103106023702528 103958139600896 112311918675968 135125277157024 141770782590976 142942441951232 154428888179456 162023751532544 163362790801408 196545857682944 198235363622912 206212047405056 224623837351936 270250554314048 283541565181952 285884883902464 308857776358912 324047503065088 393091715365888 396470727245824 449247674703872 540501108628096 567083130363904 571769767804928 617715552717824 786183430731776 898495349407744 1081002217256192 1134166260727808 1143539535609856 1235431105435648 1572366861463552 1796990698815488 2162004434512384 2268332521455616 2470862210871296 3144733722927104 4324008869024768 4941724421742592 6289467445854208 8648017738049536 9883448843485184 12578934891708416 17296035476099072 19766897686970368 34592070952198144 69184141904396288 138368283808792576
- Sum of all divisors σ(n): 354680845832439360
- Sum of proper divisors (its aliquot sum) s(n): 216312562023646784
- 138368283808792576 is an abundant number, because the sum of its proper divisors (216312562023646784) is greater than itself. Its abundance is 77944278214854208
Bases of 138368283808792576
- Binary: 1111010111001010100111000100101001001101010000000000000002
- Hexadecimal: 0x1EB9538949A8000
- Base-36: 11UFGO1SJBB4
Squares and roots of 138368283808792576
- 138368283808792576 squared (1383682838087925762) is 19145781964190569742679446992715776
- 138368283808792576 cubed (1383682838087925763) is 2649168992562382934438337556860962507626653706878976
-
The
square root of 138368283808792576 is 371978875.4872950793 -
The
cube root of 138368283808792576 is 517224.2177607511
Scales and comparisons
How big is 138368283808792576?- 138,368,283,808,792,576 seconds is equal to 4,399,683,423 years, 47 weeks, 4 days, 11 hours, 16 minutes, 16 seconds.
-
To count from 1 to 138,368,283,808,792,576 would take you about thirteen billion, one hundred ninety-nine million, fifty thousand, two hundred seventy-one 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 138368283808792576 cubic inches would be around 43102 feet tall.
Recreational maths with 138368283808792576
- 138368283808792576 backwards is 675297808382863831
- The number of decimal digits it has is: 18
- The sum of 138368283808792576's digits is 94
- More coming soon!
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The information we have on file for 138368283808792576 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 138368283808792576, math, Factors of 138368283808792576, curriculum, school, college, exams, university, Prime factorization of 138368283808792576, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred sixty-eight trillion, two hundred eighty-three billion, eight hundred eight million, seven hundred ninety-two thousand, five hundred seventy-six.