138442976542533312
138,442,976,542,533,312 is an even composite number composed of five prime numbers multiplied together.
138442976542533312 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred twenty divisors.
Prime factorization of 138442976542533312:
26 × 33 × 134 × 41 × 4093
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 13 × 13 × 13 × 41 × 409 × 409 × 409)See below for interesting mathematical facts about the number 138442976542533312 from the Numbermatics database.
Names of 138442976542533312
- Cardinal: 138442976542533312 can be written as One hundred thirty-eight quadrillion, four hundred forty-two trillion, nine hundred seventy-six billion, five hundred forty-two million, five hundred thirty-three thousand, three hundred twelve.
Scientific notation
- Scientific notation: 1.38442976542533312 × 1017
Factors of 138442976542533312
Divisors of 138442976542533312
- Number of divisors d(n): 1120
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 41 48 52 54 64 72 78 82 96 104 108 117 123 144 156 164 169 192 208 216 234 246 288 312 328 338 351 369 409 416 432 468 492 507 533 576 624 656 676 702 738 818 832 864 936 984 1014 1066 1107 1227 1248 1312 1352 1404 1476 1521 1599 1636 1728 1872 1968 2028 2132 2197 2214 2454 2496 2624 2704 2808 2952 3042 3198 3272 3681 3744 3936 4056 4264 4394 4428 4563 4797 4908 5317 5408 5616 5904 6084 6396 6544 6591 6929 7362 7488 7872 8112 8528 8788 8856 9126 9594 9816 10634 10816 11043 11232 11808 12168 12792 13088 13182 13858 14391 14724 15951 16224 16769 17056 17576 17712 18252 19188 19632 19773 20787 21268 22086 22464 23616 24336 25584 26176 26364 27716 28561 28782 29448 31902 32448 33538 34112 35152 35424 36504 38376 39264 39546 41574 42536 44172 47853 48672 50307 51168 52728 55432 57122 57564 58896 59319 62361 63804 67076 69121 70304 70848 73008 76752 78528 79092 83148 85072 85683 88344 90077 95706 97344 100614 102336 105456 110864 114244 115128 117792 118638 124722 127608 134152 138242 140608 143559 146016 150921 153504 158184 166296 167281 170144 171366 176688 180154 187083 191412 201228 207363 210912 217997 221728 228488 230256 235584 237276 249444 255216 257049 268304 270231 276484 287118 292032 301842 307008 316368 332592 334562 340288 342732 353376 360308 374166 382824 402456 414726 421824 435994 443456 452763 456976 460512 474552 498888 501843 510432 514098 536608 540462 552968 574236 603684 622089 632736 653991 665184 669124 685464 706752 720616 748332 765648 771147 804912 810693 829452 871988 898573 905526 913952 921024 949104 997776 1003686 1020864 1028196 1073216 1080924 1105936 1148472 1171001 1207368 1244178 1265472 1307982 1330368 1338248 1370928 1441232 1496664 1505529 1531296 1542294 1609824 1621386 1658904 1743976 1797146 1811052 1827904 1866267 1898208 1961973 1995552 2007372 2056392 2161848 2174653 2211872 2296944 2342002 2414736 2432079 2488356 2615964 2676496 2695719 2741856 2833961 2882464 2993328 3011058 3062592 3084588 3219648 3242772 3317808 3487952 3513003 3594292 3622104 3732534 3796416 3923946 3991104 4014744 4112784 4323696 4349306 4423744 4516587 4593888 4684004 4829472 4864158 4976712 5231928 5352992 5391438 5483712 5667922 5764928 5885919 5986656 6022116 6169176 6485544 6523959 6635616 6858521 6975904 7026006 7188584 7244208 7465068 7847892 8029488 8087157 8225568 8501883 8647392 8698612 9033174 9187776 9368008 9658944 9728316 9953424 10463856 10539009 10705984 10782876 11335844 11681449 11771838 11973312 12044232 12338352 12971088 13047918 13271232 13717042 13951808 14052012 14377168 14488416 14930136 15695784 16058976 16174314 16451136 17003766 17294784 17397224 18066348 18736016 19456632 19571877 19906848 20575563 20927712 21078018 21565752 22671688 23362898 23543676 24088464 24261471 24676704 25505649 25942176 26095836 27434084 28104024 28270489 28754336 28976832 29860272 31391568 31617027 32117952 32348628 34007532 34794448 35044347 36132696 36841493 37472032 38913264 39143754 39813696 41151126 41855424 42156036 43131504 45343376 46725796 47087352 48176928 48522942 49353408 51011298 51884352 52191672 54868168 56208048 56540978 57508672 58715631 59720544 61726689 62783136 63234054 64697256 68015064 68417929 69588896 70088694 72265392 73682986 74944064 76516947 77826528 78287508 82302252 84312072 84811467 86263008 89160773 90686752 93451592 94174704 96353856 97045884 102022596 104383344 105133041 109736336 110524479 112416096 113081956 117431262 119441088 123453378 125566272 126468108 129394512 136030128 136835858 139177792 140177388 144530784 147365972 153033894 155653056 156575016 164604504 168624144 169622934 172526016 178321546 181373504 185180067 186903184 188349408 194091768 204045192 205253787 208766688 210266082 219472672 221048958 224832192 226163912 234862524 246906756 252936216 254434401 258789024 267482319 272060256 273671716 280354776 289061568 294731944 306067788 313150032 315399123 329209008 331573437 337248288 339245868 356643092 367516357 370360134 373806368 376698816 388183536 408090384 410507574 417533376 420532164 438945344 442097916 452327824 469725048 478939409 493813512 505872432 508868802 517578048 534964638 544120512 547343432 560709552 589463888 612135576 615761361 626300064 630798246 658418016 663146874 674496576 678491736 713286184 735032714 740720268 747612736 763303203 776367072 802446957 816180768 821015148 841064328 884195832 889433077 904655648 939450096 957878818 987627024 994720311 1011744864 1017737604 1069929276 1094686864 1102549071 1121419104 1159090049 1178927776 1224271152 1231522722 1252600128 1261596492 1316836032 1326293748 1356983472 1426572368 1436818227 1470065428 1481440536 1526606406 1552734144 1604893914 1632361536 1642030296 1682128656 1768391664 1778866154 1809311296 1847284083 1878900192 1915757636 1975254048 1989440622 2023489728 2035475208 2139858552 2189373728 2205098142 2242838208 2318180098 2357855552 2407340871 2448542304 2463045444 2523192984 2652587496 2668299231 2713966944 2805135089 2853144736 2873636454 2940130856 2962881072 3053212812 3209787828 3284060592 3307647213 3364257312 3477270147 3536783328 3557732308 3694568166 3757800384 3831515272 3950508096 3978881244 4070950416 4279717104 4310454681 4378747456 4410196284 4636360196 4777712641 4814681742 4897084608 4926090888 5046385968 5305174992 5336598462 5427933888 5610270178 5706289472 5747272908 5880261712 5925762144 6106425624 6419575656 6568121184 6615294426 6728514624 6954540294 7073566656 7115464616 7389136332 7663030544 7957762488 8004897693 8141900832 8415405267 8559434208 8620909362 8820392568 9272720392 9555425282 9629363484 9852181776 9922941639 10092771936 10431810441 10610349984 10673196924 11220540356 11494545816 11562630001 11760523424 11851524288 12212851248 12839151312 12931364043 13136242368 13230588852 13909080588 14230929232 14333137923 14778272664 15068170637 15326061088 15915524976 16009795386 16283801664 16830810534 17118868416 17241818724 17640785136 18545440784 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114665103384 118226181312 120545365096 125181725292 128078363088 128998241307 134646484272 135613535733 137934549792 138751560012 145867024628 150314190013 151477294806 152886804512 154069815744 158767066224 166908967056 170771150784 171997655076 179528645696 180818047644 185002080016 192117544632 195886218281 201969726408 206901824688 208127340018 211689421632 218800536942 222545289408 229330206768 241090730192 250363450584 256156726176 257996482614 269292968544 271227071466 275869099584 277503120024 291734049256 300628380026 302954589612 305773609024 312191010027 317534132448 328200805413 333817934112 343995310152 361636095288 370004160032 384235089264 391772436562 403939452816 406840607199 413803649376 416254680036 437601073884 450942570039 458660413536 474067830041 482181460384 500726901168 512313452352 515992965228 538585937088 542454142932 555006240048 583468098512 587658654843 601256760052 605909179224 624382020054 635068264896 656401610826 667635868224 687990620304 723272190576 740008320064 768470178528 783544873124 807878905632 813681214398 827607298752 832509360072 875202147768 901885140078 917320827072 948135660082 964362920768 984602416239 1001453802336 1031985930456 1084908285864 1110012480096 1166936197024 1175317309686 1202513520104 1211818358448 1248764040108 1312803221652 1352827710117 1375981240608 1422203490123 1446544381152 1536940357056 1567089746248 1615757811264 1627362428796 1665018720144 1750404295536 1762975964529 1803770280156 1896271320164 1954084470169 1969204832478 2002907604672 2063971860912 2169816571728 2220024960192 2333872394048 2350634619372 2405027040208 2423636716896 2497528080216 2625606443304 2705655420234 2751962481216 2844406980246 2893088762304 3134179492496 3254724857592 3330037440288 3500808591072 3525951929058 3607540560312 3792542640328 3908168940338 3938409664956 4058483130351 4127943721824 4266610470369 4339633143456 4701269238744 4810054080416 4847273433792 4995056160432 5251212886608 5288927893587 5411310840468 5688813960492 5862253410507 6162881790533 6268358984992 6509449715184 6660074880576 7001617182144 7051903858116 7215081120624 7585085280656 7816337880676 7876819329912 8116966260702 8255887443648 8533220940738 8679266286912 9402538477488 9620108160832 9990112320864 10502425773216 10577855787174 10822621680936 11377627920984 11724506821014 12325763581066 12536717969984 12799831411107 13018899430368 14103807716232 14430162241248 15170170561312 15632675761352 15753638659824 16233932521404 17066441881476 17586760231521 18488645371599 18805076954976 19980224641728 21004851546432 21155711574348 21645243361872 22755255841968 23449013642028 24651527162132 25599662822214 26037798860736 28207615432464 28860324482496 30340341122624 31265351522704 31507277319648 32467865042808 34132883762952 35173520463042 36977290743198 37610153909952 42311423148696 43290486723744 45510511683936 46898027284056 49303054324264 51199325644428 52760280694563 55465936114797 56415230864928 62530703045408 63014554639296 64935730085616 68265767525904 70347040926084 73954581486396 80117463276929 84622846297392 86580973447488 91021023367872 93796054568112 98606108648528 102398651288856 105520561389126 110931872229594 112830461729856 125061406090816 129871460171232 136531535051808 140694081852168 147909162972792 160234926553858 166397808344391 169245692594784 187592109136224 197212217297056 204797302577712 211041122778252 221863744459188 240352389830787 259742920342464 273063070103616 281388163704336 295818325945584 320469853107716 332795616688782 338491385189568 375184218272448 394424434594112 409594605155424 422082245556504 443727488918376 480704779661574 562776327408672 591636651891168 640939706215432 665591233377564 721057169492361 819189210310848 844164491113008 887454977836752 961409559323148 1125552654817344 1183273303782336 1281879412430864 1331182466755128 1442114338984722 1688328982226016 1774909955673504 1922819118646296 2163171508477083 2563758824861728 2662364933510256 2884228677969444 3376657964452032 3549819911347008 3845638237292592 4326343016954166 5127517649723456 5324729867020512 5768457355938888 7691276474585184 8652686033908332 10649459734041024 11536914711877776 15382552949170368 17305372067816664 23073829423755552 34610744135633328 46147658847511104 69221488271266656 138442976542533312
- Sum of all divisors σ(n): 452772892134091200
- Sum of proper divisors (its aliquot sum) s(n): 314329915591557888
- 138442976542533312 is an abundant number, because the sum of its proper divisors (314329915591557888) is greater than itself. Its abundance is 175886939049024576
Bases of 138442976542533312
- Binary: 1111010111101100100100111010101100111011100100110110000002
- Hexadecimal: 0x1EBD927567726C0
- Base-36: 11V5XTF1P2O0
Squares and roots of 138442976542533312
- 138442976542533312 squared (1384429765425333122) is 19166457753956428879175418629689344
- 138442976542533312 cubed (1384429765425333123) is 2653461461234445592927451844651522436999605331427328
-
The
square root of 138442976542533312 is 372079261.1024340763 -
The
cube root of 138442976542533312 is 517317.2688085649
Scales and comparisons
How big is 138442976542533312?- 138,442,976,542,533,312 seconds is equal to 4,402,058,421 years, 42 weeks, 13 hours, 55 minutes, 12 seconds.
-
To count from 1 to 138,442,976,542,533,312 would take you about thirteen billion, two hundred six million, one hundred seventy-five thousand, two hundred sixty-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 138442976542533312 cubic inches would be around 43109.8 feet tall.
Recreational maths with 138442976542533312
- 138442976542533312 backwards is 213335245679244831
- 138442976542533312 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138442976542533312's digits is 72
- More coming soon!
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"Number 138442976542533312 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 138442976542533312 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/138442976542533312/
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The information we have on file for 138442976542533312 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 138442976542533312, math, Factors of 138442976542533312, curriculum, school, college, exams, university, Prime factorization of 138442976542533312, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred forty-two trillion, nine hundred seventy-six billion, five hundred forty-two million, five hundred thirty-three thousand, three hundred twelve.