138838575690163776
138,838,575,690,163,776 is an even composite number composed of six prime numbers multiplied together.
What does the number 138838575690163776 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
138838575690163776 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138838575690163776:
26 × 3 × 72 × 412 × 973 × 9619
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 41 × 41 × 97 × 97 × 97 × 9619)See below for interesting mathematical facts about the number 138838575690163776 from the Numbermatics database.
Names of 138838575690163776
- Cardinal: 138838575690163776 can be written as One hundred thirty-eight quadrillion, eight hundred thirty-eight trillion, five hundred seventy-five billion, six hundred ninety million, one hundred sixty-three thousand, seven hundred seventy-six.
Scientific notation
- Scientific notation: 1.38838575690163776 × 1017
Factors of 138838575690163776
Divisors of 138838575690163776
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 64 82 84 96 97 98 112 123 147 164 168 192 194 196 224 246 287 291 294 328 336 388 392 448 492 574 582 588 656 672 679 776 784 861 984 1148 1164 1176 1312 1344 1358 1552 1568 1681 1722 1968 2009 2037 2296 2328 2352 2624 2716 3104 3136 3362 3444 3936 3977 4018 4074 4592 4656 4704 4753 5043 5432 6027 6208 6724 6888 7872 7954 8036 8148 9184 9312 9408 9409 9506 9619 10086 10864 11767 11931 12054 13448 13776 14259 15908 16072 16296 18368 18624 18818 19012 19238 20172 21728 23534 23862 24108 26896 27552 27839 28227 28518 28857 31816 32144 32592 35301 37636 38024 38476 40344 43456 47068 47724 48216 53792 55104 55678 56454 57036 57714 63632 64288 65184 65863 67333 70602 75272 76048 76952 80688 82369 83517 94136 95448 96432 107584 111356 112908 114072 115428 127264 128576 130368 131726 134666 141204 150544 152096 153904 161376 163057 164738 167034 188272 190896 192864 194873 197589 201999 222712 225816 228144 230856 247107 254528 263452 269332 282408 301088 304192 307808 322752 326114 329476 334068 376544 381792 385728 385769 389746 394379 395178 403998 445424 451632 456288 461041 461712 471331 489171 494214 526904 538664 564816 584619 602176 615616 652228 658952 668136 753088 763584 771538 779492 788758 790356 807996 890848 903264 912576 912673 922082 923424 933043 942662 978342 988428 1053808 1077328 1129632 1141399 1157307 1169238 1183137 1304456 1317904 1336272 1383123 1413993 1543076 1558984 1577516 1580712 1615992 1781696 1806528 1825346 1844164 1846848 1866086 1885324 1956684 1976856 2107616 2154656 2259264 2282798 2314614 2338476 2366274 2608912 2635808 2672544 2700383 2738019 2760653 2766246 2799129 2827986 3086152 3117968 3155032 3161424 3231984 3424197 3650692 3688328 3732172 3770648 3913368 3953712 4215232 4309312 4565596 4629228 4676952 4732548 5217824 5271616 5345088 5400766 5476038 5521306 5532492 5598258 5655972 6172304 6235936 6310064 6322848 6388711 6463968 6531301 6848394 7301384 7376656 7464344 7541296 7826736 7907424 7989793 8101149 8281959 9131192 9258456 9353904 9465096 10435648 10801532 10952076 11042612 11064984 11196516 11311944 12344608 12471872 12620128 12645696 12777422 12927936 13062602 13696788 14602768 14753312 14928688 15082592 15653472 15814848 15816529 15979586 16169539 16202298 16563918 18262384 18516912 18707808 18902681 18930192 19166133 19324571 19593903 21603064 21904152 22085224 22129968 22393032 22623888 23969379 24689216 25240256 25554844 26125204 27393576 29205536 29506624 29857376 30165184 31306944 31633058 31959172 32339078 32404596 33127836 36524768 37033824 37415616 37419593 37805362 37860384 38254763 38332266 38649142 39187806 43206128 43808304 44170448 44259936 44720977 44786064 45247776 45719107 47449587 47938758 48508617 51109688 52250408 54787152 56708043 57973713 58411072 59714752 63266116 63918344 64678156 64809192 66255672 73049536 74067648 74839186 75610724 75720768 76509526 76664532 77298284 78375612 86412256 87616608 88340896 88519872 89441954 89572128 90495552 90505171 91438214 94899174 95877516 97017234 102219376 104500816 109574304 110715703 112258779 113186773 113416086 114764289 115947426 126532232 127836688 129356312 129618384 132511344 134162931 137157321 149678372 151221448 153019052 153329064 154596568 156751224 172824512 175233216 176681792 178883908 179144256 181010342 182876428 189798348 191755032 194034468 204438752 209001632 219148608 221431406 224517558 226373546 226832172 229528578 231894852 253064464 255673376 258712624 259236768 261937151 265022688 267783341 268325862 271515513 274314642 299356744 302442896 306038104 306658128 309193136 313502448 332147109 339560319 357767816 362020684 365752856 379596696 383510064 388068936 408877504 418003264 442862812 449035116 452747092 453664344 459057156 463789704 506128928 511346752 517425248 518473536 523874302 530045376 535566682 536651724 543031026 548629284 598713488 604885792 612076208 613316256 618386272 627004896 633536197 664294218 679120638 715535632 724041368 731505712 759193392 767020128 775009921 776137872 785811453 792307411 803350023 885725624 898070232 905494184 907328688 918114312 927579408 1012257856 1034850496 1047748604 1071133364 1073303448 1086062052 1097258568 1197426976 1209771584 1224152416 1226632512 1236772544 1254009792 1267072394 1328588436 1358241276 1431071264 1448082736 1463011424 1518386784 1534040256 1534203313 1550019842 1552275744 1568445283 1571622906 1584614822 1606700046 1771451248 1796140464 1810988368 1814657376 1833560057 1836228624 1855158816 1874483387 1900608591 2095497208 2142266728 2146606896 2172124104 2194517136 2325029763 2376922233 2394853952 2448304832 2534144788 2657176872 2716482552 2862142528 2896165472 2926022848 3036773568 3068406626 3100039684 3104551488 3136890566 3143245812 3169229644 3213400092 3542902496 3592280928 3621976736 3629314752 3667120114 3672457248 3710317632 3710712011 3748966774 3801217182 4190994416 4284533456 4293213792 4344248208 4389034272 4434753379 4602609939 4650059526 4705335849 4753844466 5068289576 5314353744 5432965104 5500680171 5623450161 5792330944 6136813252 6200079368 6273781132 6286491624 6338459288 6426800184 7085804992 7184561856 7243953472 7334240228 7344914496 7421424022 7497933548 7602434364 8381988832 8569066912 8586427584 8688496416 8778068544 8779001587 8869506758 9205219878 9300119052 9410671698 9507688932 10136579152 10628707488 10739423191 10865930208 10979116981 11001360342 11132136033 11246900322 12273626504 12400158736 12547562264 12572983248 12676918576 12853600368 13304260137 14668480456 14842848044 14995867096 15204868728 16763977664 17138133824 17376992832 17558003174 17739013516 18410439756 18600238104 18821343396 19015377864 20273158304 21257414976 21478846382 21731860416 21958233962 22002720684 22264272066 22493800644 24547253008 24800317472 25095124528 25145966496 25353837152 25707200736 25974984077 26337004761 26608520274 29336960912 29685696088 29991734192 30409737456 32218269573 32937350943 35116006348 35478027032 36820879512 37200476208 37642686792 38030755728 40546316608 42957692764 43916467924 44005441368 44528544132 44987601288 49094506016 49600634944 50190249056 50291932992 50707674304 51414401472 51949968154 52674009522 53217040548 58673921824 59371392176 59983468384 60819474912 61453011109 64436539146 65874701886 70232012696 70956054064 73641759024 74400952416 75175962337 75285373584 76061511456 76853818867 77924952231 85915385528 87832935848 88010882736 89057088264 89975202576 98189012032 100380498112 103899936308 105348019044 106434081096 117347843648 118742784352 119966936768 121638949824 122906022218 128873078292 131749403772 140464025392 141912108128 147283518048 148801904832 150351924674 150570747168 152123022912 152139192451 153707637734 155849904462 171830771056 175665871696 176021765472 178114176528 179950405152 181824888539 184359033327 207799872616 210696038088 212868162192 225527887011 230561456601 237485568704 245812044436 257746156584 263498807544 280928050784 283824216256 294567036096 300703849348 301141494336 304278384902 307415275468 311699808924 343661542112 351331743392 352043530944 356228353056 359900810304 359939065067 363649777078 368718066654 415599745232 421392076176 425736324384 430171077763 451055774022 456417577353 461122913202 491624088872 515492313168 526997615088 545474665617 561856101568 601407698696 608556769804 614830550936 623399617848 687323084224 702663486784 712456706112 719878130134 727299554156 737436133308 831199490464 842784152352 851472648768 860342155526 902111548044 912835154706 922245826404 983248177744 1030984626336 1053995230176 1064974347157 1079817195201 1090949331234 1202815397392 1217113539608 1229661101872 1246799235696 1290513233289 1439756260268 1454599108312 1474872266616 1662398980928 1685568304704 1720684311052 1804223096088 1825670309412 1844491652808 1966496355488 2061969252672 2107990460352 2129948694314 2159634390402 2181898662468 2405630794784 2434227079216 2459322203744 2493598471392 2519573455469 2581026466578 2879512520536 2909198216624 2949744533232 3194923041471 3441368622104 3608446192176 3651340618824 3688983305616 3932992710976 4259897388628 4319268780804 4363797324936 4811261589568 4868454158432 4918644407488 4987196942784 5039146910938 5162052933156 5759025041072 5818396433248 5899489066464 6389846082942 6882737244208 7216892384352 7302681237648 7377966611232 7454820430099 7558720366407 8519794777256 8638537561608 8727594649872 9736908316864 10078293821876 10324105866312 11518050082144 11636792866496 11798978132928 12779692165884 13765474488416 14433784768704 14605362475296 14755933222464 14757501667747 14909640860198 15117440732814 17039589554512 17277075123216 17455189299744 17637014188283 20156587643752 20648211732624 22364461290297 23036100164288 25559384331768 27530948976832 29210724950592 29515003335494 29819281720396 30234881465628 34079179109024 34554150246432 34910378599488 35274028376566 40313175287504 41296423465248 44272505003241 44728922580594 51118768663536 52911042564849 59030006670988 59638563440792 60469762931256 68158358218048 69108300492864 70548056753132 80626350575008 82592846930496 88545010006482 89457845161188 102237537327072 103302511674229 105822085129698 118060013341976 119277126881584 120939525862512 141096113506264 161252701150016 177090020012964 178915690322376 204475074654144 206605023348458 211644170259396 236120026683952 238554253763168 241879051725024 282192227012528 309907535022687 354180040025928 357831380644752 413210046696916 423288340518792 472240053367904 477108507526336 483758103450048 564384454025056 619815070045374 708360080051856 715662761289504 723117581719603 826420093393832 846576681037584 944480106735808 1128768908050112 1239630140090748 1416720160103712 1431325522579008 1446235163439206 1652840186787664 1693153362075168 2169352745158809 2479260280181496 2833440320207424 2892470326878412 3305680373575328 3386306724150336 4338705490317618 4958520560362992 5784940653756824 6611360747150656 8677410980635236 9917041120725984 11569881307513648 17354821961270472 19834082241451968 23139762615027296 34709643922540944 46279525230054592 69419287845081888 138838575690163776
- Sum of all divisors σ(n): 442603268313460800
- Sum of proper divisors (its aliquot sum) s(n): 303764692623297024
- 138838575690163776 is an abundant number, because the sum of its proper divisors (303764692623297024) is greater than itself. Its abundance is 164926116933133248
Bases of 138838575690163776
- Binary: 1111011010100000011110010111100010010001000100110010000002
- Hexadecimal: 0x1ED40F2F1222640
- Base-36: 11Z2615O4MDC
Squares and roots of 138838575690163776
- 138838575690163776 squared (1388385756901637762) is 19276150099673335829244437702578176
- 138838575690163776 cubed (1388385756901637763) is 2676273224628454451562066879729660133747318883352576
-
The
square root of 138838575690163776 is 372610487.8960920713 -
The
cube root of 138838575690163776 is 517809.5428504243
Scales and comparisons
How big is 138838575690163776?- 138,838,575,690,163,776 seconds is equal to 4,414,637,251 years, 1 week, 5 days, 21 hours, 29 minutes, 36 seconds.
-
To count from 1 to 138,838,575,690,163,776 would take you about thirteen billion, two hundred forty-three million, nine hundred eleven thousand, seven hundred fifty-three 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 138838575690163776 cubic inches would be around 43150.8 feet tall.
Recreational maths with 138838575690163776
- 138838575690163776 backwards is 677361096575838831
- The number of decimal digits it has is: 18
- The sum of 138838575690163776's digits is 93
- More coming soon!
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"Number 138838575690163776 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 138838575690163776 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138838575690163776/
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The information we have on file for 138838575690163776 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 138838575690163776, math, Factors of 138838575690163776, curriculum, school, college, exams, university, Prime factorization of 138838575690163776, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred thirty-eight trillion, five hundred seventy-five billion, six hundred ninety million, one hundred sixty-three thousand, seven hundred seventy-six.