138404846024427136

Names of 138404846024427136

• Cardinal: 138404846024427136 can be written as One hundred thirty-eight quadrillion, four hundred four trillion, eight hundred forty-six billion, twenty-four million, four hundred twenty-seven thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 1.38404846024427136 × 10¹⁷

Factors of 138404846024427136

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 1248

Divisors of 138404846024427136

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 32 41 44 49 56 64 77 82 88 98 112 121 128 154 164 176 196 224 242 287 308 328 343 352 392 448 451 484 539 574 616 656 686 704 784 847 896 902 968 1078 1148 1187 1232 1312 1331 1372 1408 1568 1681 1694 1804 1936 2009 2156 2296 2374 2464 2624 2662 2744 3136 3157 3362 3388 3608 3773 3872 4018 4312 4592 4748 4928 4961 5248 5324 5488 5929 6272 6314 6724 6776 7216 7546 7744 8036 8309 8624 9184 9317 9496 9856 9922 10648 10976 11767 11858 12628 13057 13448 13552 14063 14432 15092 15488 16072 16618 17248 18368 18491 18634 18992 19844 21296 21952 22099 23534 23716 25256 26114 26896 27104 28126 28864 30184 32144 33236 34496 34727 36736 36982 37268 37984 39688 41503 42592 43904 44198 47068 47432 48667 50512 52228 53792 54208 54571 56252 57728 58163 60368 64288 65219 66472 68992 69454 73964 74536 75968 79376 82369 83006 85184 88396 91399 94136 94864 97334 101024 104456 107584 108416 109142 112504 116326 120736 128576 129437 130438 132944 138908 143627 147928 149072 151936 154693 158752 164738 166012 170368 176792 182798 188272 189728 194668 202048 203401 208912 215168 218284 225008 232652 241472 243089 257152 258874 260876 265888 277816 287254 295856 298144 309386 317504 329476 332024 340669 353584 365596 376544 379456 381997 389336 404096 406802 407141 417824 436568 450016 456533 465304 482944 486178 517748 521752 531776 535337 555632 574508 576583 591712 596288 618772 635008 639793 658952 664048 681338 707168 731192 753088 758912 763994 778672 813604 814282 835648 873136 900032 906059 913066 930608 972356 1005389 1035496 1043504 1063552 1070674 1111264 1149016 1153166 1183424 1192576 1237544 1279586 1317904 1328096 1362676 1408969 1414336 1423807 1462384 1506176 1527988 1557344 1579897 1627208 1628564 1671296 1701623 1746272 1800064 1812118 1826132 1861216 1944712 1995347 2010778 2070992 2087008 2141348 2222528 2237411 2298032 2306332 2366848 2384683 2475088 2559172 2635808 2656192 2673979 2725352 2817938 2828672 2847614 2924768 3055976 3114688 3159794 3254416 3257128 3403246 3492544 3624236 3652264 3722432 3747359 3889424 3990694 4021556 4141984 4174016 4282696 4445056 4474822 4478551 4596064 4612664 4769366 4950176 5118344 5271616 5312384 5347958 5450704 5635876 5695228 5849536 5888707 6111952 6229376 6319588 6342413 6508832 6514256 6806492 6985088 7037723 7248472 7304528 7444864 7494718 7778848 7981388 8043112 8283968 8348032 8565392 8949644 8957102 9192128 9225328 9538732 9862783 9900352 9966649 10236688 10543232 10695916 10901408 11059279 11271752 11390456 11699072 11777414 12223904 12639176 12684826 13017664 13028512 13612984 13967429 14075446 14496944 14609056 14989436 15498659 15557696 15661877 15962776 16086224 16567936 16692781 17130784 17899288 17914204 18384256 18450656 18717853 19077464 19725566 19800704 19933298 20473376 21391832 21802816 21948817 22118558 22543504 22780912 23554828 24447808 25278352 25369652 26035328 26057024 26231513 27225968 27934858 28150892 28993888 29218112 29978872 30997318 31115392 31323754 31925552 32172448 33385562 34261568 35798576 35828408 36901312 37435706 38154928 39451132 39866596 40946752 41220949 42783664 43605632 43897634 44237116 45087008 45561824 47109656 48895616 49264061 50556704 50739304 52114048 52463026 54451936 55869716 56301784 57767729 57987776 58436224 59957744 61994636 62647508 63851104 64344896 64775777 66771124 68523136 69039481 69766543 71597152 71656816 73802624 74871412 76309856 77414953 78902264 79733192 81893504 82441898 85567328 87795268 88474232 90174016 91123648 94219312 97772003 98528122 101113408 101478608 104926052 108490613 108903872 109633139 111739432 112603568 115535458 115975552 119915488 123989272 125295016 127702208 128689792 129551554 133542248 138078962 139533086 143194304 143313632 149742824 152619712 153641719 154829906 157804528 159466384 164883796 170485249 171134656 175590536 176948464 180348032 182247296 183620591 188438624 195544006 197056244 202226816 202957216 209852104 216981226 217807744 219266278 223478864 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8079306004 8291299456 8353777201 8603936264 8670474736 8837053568 8896230266 8930117504 9233492576 9473907556 9547173944 9833070016 9909113984 10167120304 10623227428 10632080074 10911055936 10950464336 11322474884 11751717824 11830412363 12150948656 12278911568 12514816384 12696052292 12939971296 13127364173 13520471272 13886798464 13979790418 14033041792 14509774048 15002701912 15056888462 15451967168 15464843744 16158612008 16579338223 16707554402 17207872528 17340949472 17792460532 18466985152 18590647999 18947815112 19094347888 19666140032 19814331047 20334240608 21246454856 21264160148 21822111872 21900928672 22218091511 22644949768 23503435648 23660824726 24301897312 24557823136 25392104584 25879942592 26053245779 26254728346 27040942544 27959580836 29019548096 30005403824 30113776924 30903934336 30929687488 31136805931 32317224016 33158676446 33415108804 34415745056 34681898944 35584921064 36933970304 37181295998 37895630224 38188695776 39628662094 40668481216 42492909712 42528320296 43801857344 44436183022 45289899536 47321649452 48603794624 48929266463 49115646272 50784209168 51759885184 52106491558 52509456692 54081885088 55919161672 58039096192 58476440407 60010807648 60227553848 61859374976 62273611862 64634448032 66317352892 66830217608 68831490112 69363797888 71169842128 74362591996 75791260448 76377391552 76888847299 79257324188 81336962432 82812886541 84985819424 85056640592 87603714688 88872366044 90579799072 91891549211 94643298904 97207589248 97858532926 98231292544 101568418336 104212983116 105018913384 108163770176 111838323344 116055367561 116952880814 120021615296 120455107696 124547223724 129268896064 130134535993 132634705784 133660435216 137662980224 142339684256 148725183992 151582520896 152754783104 153777694598 158514648376 165625773082 169971638848 170113281184 177744732088 181159598144 182372720453 183783098422 189286597808 195717065852 203136836672 208425966232 210037826768 216327540352 217957641517 223676646688 232110735122 233905761628 240043230592 240910215392 249094447448 258537792128 260269071986 265269411568 267320870432 284679368512 286585703569 297450367984 303165041792 307555389196 317029296752 331251546164 339943277696 340226562368 342504865241 355489464176 362319196288 364745440906 367566196844 378573195616 391434131704 406273673344 416851932464 420075653536 435915283034 447353293376 464221470244 467811523256 481820430784 498188894896 520538143972 530538823136 534641740864 538221931093 569358737024 573171407138 594900735968 615110778392 634058593504 643240844477 662503092328 680453124736 685009730482 710978928352 729490881812 735132393688 757146391232 782868263408 812387572927 833703864928 840151307072 871830566068 894706586752 910941751951 928442940488 935623046512 963640861568 996377789792 1041076287944 1061077646272 1069283481728 1076443862186 1146342814276 1189801471936 1230221556784 1268117187008 1276609043171 1286481688954 1325006184656 1370019460964 1421957856704 1458981763624 1470264787376 1514292782464 1565736526816 1624775145854 1667407729856 1680302614144 1743661132136 1821883503902 1856885880976 1871246093024 1992755579584 2006099924983 2082152575888 2122155292544 2152887724372 2292685628552 2379602943872 2397534056687 2460443113568 2536234374016 2553218086342 2572963377908 2650012369312 2740038921928 2843915713408 2917963527248 2940529574752 3131473053632 3152442739259 3249550291708 3334815459712 3487322264272 3643767007804 3713771761952 3742492186048 3767553517651 3985511159168 4012199849966 4164305151776 4305775448744 4585371257104 4795068113374 4920886227136 5106436172684 5145926755816 5300024738624 5480077843856 5835927054496 5881059149504 6262946107264 6304885478518 6499100583416 6974644528544 7287534015608 7427543523904 7484984372096 7535107035302 8024399699932 8328610303552 8611550897488 8936263302197 9170742514208 9590136226748 9841772454272 10212872345368 10291853511632 10600049477248 10960155687712 11671854108992 11762118299008 12609770957036 12998201166832 13949289057088 14042699474881 14575068031216 14855087047808 15070214070604 16048799399864 16657220607104 17223101794976 17872526604394 18341485028416 19180272453496 20425744690736 20583707023264 21920311375424 22067099174813 23343708217984 25219541914072 25996402333664 26372874623557 27898578114176 28085398949762 29150136062432 30140428141208 32097598799728 34446203589952 35745053208788 36682970056832 38360544906992 40851489381472 41167414046528 43840622750848 44134198349626 50439083828144 51992804667328 52745749247114 56170797899524 58300272124864 60280856282416 64195197599456 68892407179904 71490106417576 76721089813984 81702978762944 82334828093056 88268396699252 98298896324167 100878167656288 103985609334656 105491498494228 112341595799048 116600544249728 120561712564832 128390395198912 142980212835152 153442179627968 154469694223691 163405957525888 176536793398504 196597792648334 201756335312576 210982996988456 224683191598096 241123425129664 256780790397824 285960425670304 306884359255936 308939388447382 353073586797008 393195585296668 403512670625152 421965993976912 449366383196192 482246850259328 571920851340608 617878776894764 706147173594016 786391170593336 843931987953824 898732766392384 1081287859565837 1143841702681216 1235757553789528 1412294347188032 1572782341186672 1687863975907648 1797465532784768 2162575719131674 2471515107579056 2824588694376064 3145564682373344 3375727951815296 4325151438263348 4943030215158112 6291129364746688 8650302876526696 9886060430316224 12582258729493376 17300605753053392 19772120860632448 34601211506106784 69202423012213568 138404846024427136
• Sum of all divisors σ(n): 362822317906608000
• Sum of proper divisors (its aliquot sum) s(n): 224417471882180864
• 138404846024427136 is an abundant number, because the sum of its proper divisors (224417471882180864) is greater than itself. Its abundance is 86012625857753728

Bases of 138404846024427136

• Binary: 111101011101101100111100101100010011110101000011010000000₂
• Hexadecimal: 0x1EBB679627A8680
• Base-36: 11USF8HZPT34

Squares and roots of 138404846024427136

• 138404846024427136 squared (138404846024427136²) is 19155901403045383993198796973162496
• 138404846024427136 cubed (138404846024427136³) is 2651269584147604111364324951429911480555444639891456
• The square root of 138404846024427136 is 372028017.7949332031
• The cube root of 138404846024427136 is 517269.7705840965

Scales and comparisons

• 138,404,846,024,427,136 seconds is equal to 4,400,845,989 years, 14 weeks, 3 days, 12 hours, 52 minutes, 16 seconds.
• To count from 1 to 138,404,846,024,427,136 would take you about thirteen billion, two hundred two million, five hundred thirty-seven thousand, nine hundred sixty-seven 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 138404846024427136 cubic inches would be around 43105.8 feet tall.

Recreational maths with 138404846024427136

• 138404846024427136 backwards is 631724420648404831
• The number of decimal digits it has is: 18
• The sum of 138404846024427136's digits is 67
• More coming soon!