138379707094401024

Names of 138379707094401024

• Cardinal: 138379707094401024 can be written as One hundred thirty-eight quadrillion, three hundred seventy-nine trillion, seven hundred seven billion, ninety-four million, four hundred one thousand and twenty-four.

Scientific notation

• Scientific notation: 1.38379707094401024 × 10¹⁷

Factors of 138379707094401024

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 312

Divisors of 138379707094401024

• Number of divisors d(n): 1216
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 149 151 168 192 196 224 256 294 298 302 336 343 384 392 447 448 453 512 588 596 604 672 686 768 784 894 896 906 1024 1029 1043 1057 1176 1192 1208 1344 1372 1536 1568 1788 1792 1812 2048 2058 2086 2114 2352 2384 2416 2688 2744 3072 3129 3136 3171 3576 3584 3624 4096 4116 4172 4228 4704 4768 4832 5376 5488 6144 6258 6272 6342 7152 7168 7248 7301 7399 8192 8232 8344 8456 9408 9536 9664 10752 10976 12288 12516 12544 12684 14304 14336 14496 14602 14798 16384 16464 16688 16912 18816 19072 19328 21504 21903 21952 22197 22499 22801 24576 25032 25088 25368 28608 28672 28992 29204 29596 32768 32928 33376 33824 37632 38144 38656 43008 43806 43904 44394 44998 45602 49152 50064 50176 50736 51107 51793 57216 57344 57984 58408 59192 65536 65856 66752 67497 67648 68403 75264 76288 77312 86016 87612 87808 88788 89996 91204 98304 100128 100352 101472 102214 103586 114432 114688 115968 116816 118384 131072 131712 133504 134994 135296 136806 150528 152576 153321 154624 155379 157493 159607 172032 175224 175616 177576 179992 182408 196608 200256 200704 202944 204428 207172 228864 229376 231936 233632 236768 262144 263424 267008 269988 270592 273612 301056 305152 306642 309248 310758 314986 319214 344064 350448 351232 355152 359984 364816 393216 400512 401408 405888 408856 414344 457728 458752 463872 467264 472479 473536 478821 526848 534016 539976 541184 547224 602112 610304 613284 618496 621516 629972 638428 688128 700896 702464 710304 719968 729632 786432 801024 802816 811776 817712 828688 915456 917504 927744 934528 944958 947072 957642 1053696 1068032 1079952 1082368 1094448 1102451 1117249 1204224 1220608 1226568 1236992 1243032 1259944 1276856 1376256 1401792 1404928 1420608 1439936 1459264 1602048 1605632 1623552 1635424 1657376 1830912 1835008 1855488 1869056 1889916 1894144 1915284 2107392 2136064 2159904 2164736 2188896 2204902 2234498 2408448 2441216 2453136 2473984 2486064 2519888 2553712 2752512 2803584 2809856 2841216 2879872 2918528 3204096 3211264 3247104 3270848 3307353 3314752 3351747 3397349 3442951 3661824 3710976 3738112 3779832 3788288 3830568 4214784 4272128 4319808 4329472 4377792 4409804 4468996 4816896 4882432 4906272 4947968 4972128 5039776 5107424 5505024 5607168 5619712 5682432 5759744 5837056 6408192 6422528 6494208 6541696 6614706 6629504 6703494 6794698 6885902 7323648 7421952 7476224 7559664 7576576 7661136 7717157 7820743 8429568 8544256 8639616 8658944 8755584 8819608 8937992 9633792 9764864 9812544 9895936 9944256 10079552 10192047 10214848 10328853 11214336 11239424 11364864 11519488 11674112 12816384 12845056 12988416 13083392 13229412 13259008 13406988 13589396 13771804 14647296 14843904 14952448 15119328 15153152 15322272 15434314 15641486 16859136 17088512 17279232 17317888 17511168 17639216 17875984 19267584 19529728 19625088 19791872 19888512 20159104 20384094 20429696 20657706 22428672 22478848 22729728 23038976 23151471 23348224 23462229 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18894915088 20096090112 20365836288 20642922496 20873312256 20920008704 21153490944 21308172928 21545987358 21594188672 23707106304 24025322496 24352197632 24623985552 24679072768 25136985251 27093835776 27457511424 27831083008 27966976968 28204654592 28342372632 28727983144 30964383744 31380013056 31609475072 31962259392 32033763328 32391283008 32831980736 36125114368 36528296448 36610015232 37018609152 37289302624 37789830176 40192180224 40731672576 41285844992 41746624512 41840017408 42306981888 42616345856 43091974716 43188377344 47414212608 48050644992 48704395264 49247971104 49358145536 50273970502 54187671552 54915022848 55662166016 55933953936 56409309184 56684745264 57455966288 61928767488 62760026112 63218950144 63924518784 64067526656 64782566016 65663961472 72250228736 73056592896 73220030464 74037218304 74578605248 75410955753 75579660352 83493249024 84613963776 85232691712 86183949432 86376754688 94828425216 96101289984 97408790528 98495942208 98716291072 100547941004 108375343104 109830045696 111324332032 111867907872 112818618368 113369490528 114911932576 123857534976 125520052224 126437900288 127849037568 128135053312 129565132032 131327922944 144500457472 146113185792 146440060928 148074436608 149157210496 150821911506 151159320704 166986498048 169227927552 170465383424 172367898864 172753509376 175958896757 189656850432 192202579968 194817581056 196991884416 197432582144 201095882008 216750686208 219660091392 222648664064 223735815744 225637236736 226738981056 229823865152 252875800576 255698075136 256270106624 259130264064 262655845888 289000914944 292226371584 292880121856 296148873216 298314420992 301643823012 302318641408 333972996096 338455855104 340930766848 344735797728 345507018752 351917793514 379313700864 384405159936 389635162112 393983768832 394865164288 402191764016 433501372416 439320182784 445297328128 447471631488 451274473472 453477962112 459647730304 505751601152 511396150272 512540213248 518260528128 525311691776 527876690271 584452743168 592297746432 596628841984 603287646024 604637282816 667945992192 676911710208 681861533696 689471595456 691014037504 703835587028 758627401728 768810319872 779270324224 787967537664 789730328576 804383528032 867002744832 878640365568 890594656256 894943262976 902548946944 906955924224 919295460608 1011503202304 1022792300544 1025080426496 1036521056256 1050623383552 1055753380542 1168905486336 1184595492864 1193257683968 1206575292048 1209274565632 1335891984384 1353823420416 1363723067392 1378943190912 1382028075008 1407671174056 1517254803456 1537620639744 1558540648448 1575935075328 1579460657152 1608767056064 1789886525952 1813911848448 1838590921216 2023006404608 2045584601088 2050160852992 2073042112512 2101246767104 2111506761084 2337810972672 2369190985728 2386515367936 2413150584096 2418549131264 2671783968768 2707646840832 2727446134784 2757886381824 2764056150016 2815342348112 3034509606912 3075241279488 3117081296896 3151870150656 3158921314304 3217534112128 3579773051904 3627823696896 3677181842432 4091169202176 4146084225024 4202493534208 4223013522168 4675621945344 4738381971456 4773030735872 4826301168192 4837098262528 5454892269568 5515772763648 5528112300032 5630684696224 6069019213824 6150482558976 6234162593792 6303740301312 6317842628608 6435068224256 7159546103808 7255647393792 7354363684864 8182338404352 8292168450048 8404987068416 8446027044336 9351243890688 9476763942912 9546061471744 9652602336384 9674196525056 10909784539136 11031545527296 11056224600064 11261369392448 12607480602624 12870136448512 14319092207616 14511294787584 14708727369728 16364676808704 16584336900096 16809974136832 16892054088672 18702487781376 18953527885824 19092122943488 19305204672768 19348393050112 21819569078272 22063091054592 22112449200128 22522738784896 25214961205248 25740272897024 28638184415232 29022589575168 29417454739456 32729353617408 33168673800192 33619948273664 33784108177344 38184245886976 38610409345536 38696786100224 43639138156544 44126182109184 44224898400256 45045477569792 50429922410496 51480545794048 57276368830464 58045179150336 58834909478912 65458707234816 66337347600384 67239896547328 67568216354688 76368491773952 77220818691072 77393572200448 88252364218368 90090955139584 100859844820992 102961091588096 114552737660928 116090358300672 117669818957824 130917414469632 132674695200768 134479793094656 135136432709376 152736983547904 154441637382144 154787144400896 176504728436736 180181910279168 201719689641984 205922183176192 229105475321856 232180716601344 235339637915648 270272865418752 305473967095808 308883274764288 309574288801792 353009456873472 360363820558336 403439379283968 411844366352384 458210950643712 464361433202688 470679275831296 540545730837504 617766549528576 706018913746944 720727641116672 823688732704768 916421901287424 928722866405376 941358551662592 1081091461675008 1235533099057152 1412037827493888 1441455282233344 1647377465409536 2162182923350016 2471066198114304 2824075654987776 2882910564466688 3294754930819072 4324365846700032 4942132396228608 5765821128933376 6589509861638144 8648731693400064 9884264792457216 11531642257866752 17297463386800128 19768529584914432 23063284515733504 34594926773600256 46126569031467008 69189853547200512 138379707094401024
• Sum of all divisors σ(n): 436110818507520000
• Sum of proper divisors (its aliquot sum) s(n): 297731111413118976
• 138379707094401024 is an abundant number, because the sum of its proper divisors (297731111413118976) is greater than itself. Its abundance is 159351404318717952

Bases of 138379707094401024

• Binary: 111101011100111111001110001000101011111000000000000000000₂
• Hexadecimal: 0x1EB9F9C457C0000
• Base-36: 11UJIFU1UI2O

Squares and roots of 138379707094401024

• 138379707094401024 squared (138379707094401024²) is 19148943335532221092151489332248576
• 138379707094401024 cubed (138379707094401024³) is 2649825169938231303183360349503682554136573796941824
• The square root of 138379707094401024 is 371994229.9208430249
• The cube root of 138379707094401024 is 517238.4508812669

Scales and comparisons

• 138,379,707,094,401,024 seconds is equal to 4,400,046,649 years, 3 weeks, 2 days, 6 hours, 30 minutes, 24 seconds.
• To count from 1 to 138,379,707,094,401,024 would take you about thirteen billion, two hundred million, one hundred thirty-nine thousand, nine hundred forty-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 138379707094401024 cubic inches would be around 43103.2 feet tall.

Recreational maths with 138379707094401024

• 138379707094401024 backwards is 420104490707973831
• The number of decimal digits it has is: 18
• The sum of 138379707094401024's digits is 69
• More coming soon!