138066054973142328

Names of 138066054973142328

• Cardinal: 138066054973142328 can be written as One hundred thirty-eight quadrillion, sixty-six trillion, fifty-four billion, nine hundred seventy-three million, one hundred forty-two thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38066054973142328 × 10¹⁷

Factors of 138066054973142328

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 524

Divisors of 138066054973142328

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 103 108 129 162 172 206 216 243 258 309 324 344 373 387 412 486 516 618 648 729 746 774 824 927 972 1032 1119 1161 1236 1458 1492 1548 1854 1944 2238 2322 2472 2781 2916 2984 3096 3357 3483 3708 4429 4476 4644 5562 5832 6714 6966 7416 8343 8858 8952 9288 10071 10449 10609 11124 13287 13428 13932 16039 16686 17716 20142 20898 21218 22248 25029 26574 26856 27864 30213 31347 31827 32078 33372 35432 38419 39861 40284 41796 42436 48117 50058 53148 60426 62694 63654 64156 66744 75087 76838 79722 80568 83592 84872 90639 95481 96234 100116 106296 115257 119583 120852 125388 127308 128312 139129 144351 150174 153676 159444 181278 190962 192468 200232 230514 239166 241704 250776 254616 271917 278258 286443 288702 300348 307352 318888 345771 358749 362556 381924 384936 417387 433053 456187 461028 478332 543834 556516 572886 577404 600696 691542 717498 725112 763848 834774 859329 866106 912374 922056 956664 1037313 1076247 1087668 1113032 1145772 1154808 1252161 1299159 1368561 1383084 1434996 1652017 1669548 1718658 1732212 1824748 2074626 2152494 2175336 2291544 2504322 2577987 2598318 2737122 2766168 2869992 3111939 3228741 3304034 3339096 3437316 3464424 3649496 3756483 3897477 3957157 4105683 4149252 4304988 4956051 5008644 5155974 5196636 5474244 5982547 6223878 6457482 6608068 6874632 7512966 7733961 7794954 7914314 8211366 8298504 8609976 9335817 9912102 10017288 10311948 10393272 10948488 11269449 11692431 11871471 11965094 12317049 12447756 12914964 13216136 14330287 14868153 15025932 15467922 15589908 15828628 16422732 17947641 18671634 19824204 20623896 22538898 23384862 23742942 23930188 24634098 24895512 25829928 28007451 28660574 29736306 30051864 30935844 31179816 31657256 32845464 33808347 35614413 35895282 36951147 37343268 39648408 42990861 44604459 45077796 46769724 47485884 47860376 49268196 51895117 53842923 56014902 57321148 59472612 61871688 67616694 71228826 71790564 73902294 74686536 85981722 89208918 90155592 93539448 94971768 98536392 101425041 103790234 106843239 107685846 110853441 112029804 114642296 118945224 128972583 133813377 135233388 142457652 143581128 147804588 155685351 161528769 170157751 171963444 178417836 202850082 207580468 213686478 215371692 221706882 224059608 257945166 267626754 270466776 284915304 295609176 311370702 320529717 323057538 332560323 340315502 343926888 356835672 386917749 401440131 405700164 415160936 427372956 430743384 443413764 467056053 484586307 510473253 515890332 535253508 616202341 622741404 641059434 646115076 665120646 680631004 773835498 802880262 811400328 854745912 886827528 934112106 961589151 969172614 1020946506 1031780664 1070507016 1160753247 1204320393 1232404682 1245482808 1282118868 1292230152 1330241292 1361262008 1401168159 1453758921 1476019561 1531419759 1547670996 1605760524 1848607023 1868224212 1923178302 1938345228 2041893012 2231490031 2321506494 2408640786 2464809364 2564237736 2660482584 2802336318 2884767453 2907517842 2952039122 3062839518 3095341992 3211521048 3482259741 3697214046 3736448424 3846356604 3876690456 4083786024 4203504477 4361276763 4428058683 4462980062 4594259277 4643012988 4817281572 4929618728 5345197051 5545821069 5604672636 5769534906 5815035684 5904078244 6125679036 6694470093 6964519482 7394428092 7692713208 8407008954 8722553526 8856117366 8925960124 9188518554 9286025976 9634563144 10446779223 10690394102 11091642138 11209345272 11539069812 11630071368 11808156488 12251358072 12610513431 13284176049 13388940186 13782777831 13929038964 14788856184 16035591153 16637463207 16814017908 17445107052 17712234732 17851920248 18377037108 20083410279 20893558446 21380788204 22183284276 23078139624 25221026862 26568352098 26777880372 27565555662 27858077928 32071182306 33274926414 33628035816 34890214104 35424469464 36754074216 37831540293 39852528147 40166820558 41348333493 41787116892 42761576408 44366568552 48106773459 49912389621 50442053724 53136704196 53555760744 55131111324 60250230837 63468841123 64142364612 66549852828 75663080586 79705056294 80333641116 82696666986 83574233784 96213546918 99824779242 100884107448 106273408392 110262222648 119557584441 120500461674 124045000479 126937682246 128284729224 133099705656 144320320377 149737168863 151326161172 159410112588 160667282232 165393333972 180750692511 190406523369 192427093836 199649558484 229843473193 239115168882 241000923348 248090000958 253875364492 288640640754 299474337726 302652322344 318820225176 330786667944 358672753323 361501385022 380813046738 384854187672 399299116968 432960961131 449211506589 459686946386 478230337764 482001846696 496180001916 507750728984 542252077533 550555296253 571219570107 577281281508 598948675452 689530419579 717345506646 723002770044 761626093476 865921922262 898423013178 919373892772 956460675528 992360003832 1076018259969 1084504155066 1101110592506 1142439140214 1154562563016 1197897350904 1298882883393 1379060839158 1434691013292 1446005540088 1523252186952 1626756232599 1651665888759 1713658710321 1731843844524 1796846026356 1838747785544 2068591258737 2152036519938 2169008310132 2202221185012 2284878280428 2597765766786 2758121678316 2869382026584 3253512465198 3303331777518 3427317420642 3463687689048 3593692052712 3896648650179 4137182517474 4304073039876 4338016620264 4404442370024 4569756560856 4954997666277 5140976130963 5195531533572 5516243356632 6205773776211 6507024930396 6606663555036 6854634841284 7793297300358 8274365034948 8608146079752 9909995332554 10281952261926 10391063067144 12411547552422 13014049860792 13213327110072 13709269682568 14864992998831 15422928392889 15586594600716 16548730069896 18617321328633 19819990665108 20563904523852 23673877738879 24823095104844 29729985997662 30845856785778 31173189201432 37234642657266 39639981330216 41127809047704 44594978996493 46268785178667 47347755477758 49646190209688 55851963985899 59459971995324 61691713571556 71021633216637 74469285314532 89189957992986 92537570357334 94695510955516 111703927971798 118919943990648 123383427143112 133784936989479 142043266433274 148938570629064 167555891957697 178379915985972 185075140714668 189391021911032 213064899649911 223407855943596 267569873978958 284086532866548 335111783915394 356759831971944 370150281429336 401354810968437 426129799299822 446815711887192 535139747957916 568173065733096 639194698949733 670223567830788 802709621936874 852259598599644 1070279495915832 1278389397899466 1340447135661576 1605419243873748 1704519197199288 1917584096849199 2556778795798932 3210838487747496 3835168193698398 5113557591597864 5752752290547597 7670336387396796 11505504581095194 15340672774793592 17258256871642791 23011009162190388 34516513743285582 46022018324380776 69033027486571164 138066054973142328
• Sum of all divisors σ(n): 402131033223202800
• Sum of proper divisors (its aliquot sum) s(n): 264064978250060472
• 138066054973142328 is an abundant number, because the sum of its proper divisors (264064978250060472) is greater than itself. Its abundance is 125998923276918144

Bases of 138066054973142328

• Binary: 111101010100000100101100001110010001101101011010100111000₂
• Hexadecimal: 0x1EA82587236B538
• Base-36: 11RGBY1F3VI0

Squares and roots of 138066054973142328

• 138066054973142328 squared (138066054973142328²) is 19062235535846759361673414545259584
• 138066054973142328 cubed (138066054973142328³) is 2631847659403205879992050039444855774844508938071552
• The square root of 138066054973142328 is 371572408.7888420275
• The cube root of 138066054973142328 is 516847.3635174687

Scales and comparisons

• 138,066,054,973,142,328 seconds is equal to 4,390,073,481 years, 41 weeks, 3 days, 7 hours, 58 minutes, 48 seconds.
• To count from 1 to 138,066,054,973,142,328 would take you about thirteen billion, one hundred seventy million, two hundred twenty thousand, four hundred forty-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 138066054973142328 cubic inches would be around 43070.6 feet tall.

Recreational maths with 138066054973142328

• 138066054973142328 backwards is 823241379450660831
• 138066054973142328 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138066054973142328's digits is 72
• More coming soon!