138144492375552
138,144,492,375,552 is an even composite number composed of six prime numbers multiplied together.
138144492375552 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 138144492375552:
29 × 34 × 132 × 192 × 71 × 769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 13 × 19 × 19 × 71 × 769)See below for interesting mathematical facts about the number 138144492375552 from the Numbermatics database.
Names of 138144492375552
- Cardinal: 138144492375552 can be written as One hundred thirty-eight trillion, one hundred forty-four billion, four hundred ninety-two million, three hundred seventy-five thousand, five hundred fifty-two.
Scientific notation
- Scientific notation: 1.38144492375552 × 1014
Factors of 138144492375552
Divisors of 138144492375552
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 71 72 76 78 81 96 104 108 114 117 128 142 144 152 156 162 169 171 192 208 213 216 228 234 247 256 284 288 304 312 324 338 342 351 361 384 416 426 432 456 468 494 507 512 513 568 576 608 624 639 648 676 684 702 722 741 768 769 832 852 864 912 923 936 988 1014 1026 1053 1083 1136 1152 1216 1248 1278 1296 1349 1352 1368 1404 1444 1482 1521 1536 1538 1539 1664 1704 1728 1824 1846 1872 1917 1976 2028 2052 2106 2166 2223 2272 2304 2307 2432 2496 2556 2592 2698 2704 2736 2769 2808 2888 2964 3042 3076 3078 3211 3249 3328 3408 3456 3648 3692 3744 3834 3952 4047 4056 4104 4212 4332 4446 4544 4563 4608 4614 4693 4864 4992 5112 5184 5396 5408 5472 5538 5616 5751 5776 5928 6084 6152 6156 6422 6498 6656 6669 6816 6912 6921 7296 7384 7488 7668 7904 8094 8112 8208 8307 8424 8664 8892 9088 9126 9228 9386 9633 9728 9747 9984 9997 10224 10368 10792 10816 10944 11076 11232 11502 11552 11856 11999 12141 12168 12304 12312 12844 12996 13338 13632 13689 13824 13842 14079 14592 14611 14768 14976 15336 15808 16188 16224 16416 16614 16848 17328 17537 17784 18176 18252 18456 18772 19266 19494 19968 19994 20007 20448 20736 20763 21584 21632 21888 22152 22464 23004 23104 23712 23998 24282 24336 24608 24624 24921 25631 25688 25992 26676 27264 27378 27684 28158 28899 29184 29222 29241 29536 29952 29991 30672 31616 32376 32448 32832 33228 33696 34656 35074 35568 35997 36352 36423 36504 36912 37544 38532 38988 39988 40014 40896 41472 41526 42237 43168 43264 43776 43833 44304 44928 46008 46208 47424 47996 48564 48672 49216 49248 49842 51262 51376 51984 52611 53352 54528 54599 54756 55368 56316 57798 58444 58482 59072 59904 59982 61009 61344 62289 63232 64752 64896 65664 66456 67392 69312 70148 71136 71994 72846 73008 73824 74763 75088 76893 77064 77976 79976 80028 81792 83052 84474 86336 86528 86697 87552 87666 88608 89856 89973 92016 92416 94848 95992 97128 97344 98432 98496 99684 102524 102752 103968 105222 106704 107991 109056 109198 109269 109512 110736 112632 115596 116888 116964 118144 119964 122018 122688 124578 126464 126711 129504 129792 129961 131328 131499 132912 134784 138624 140296 142272 143988 145692 146016 147648 149526 150176 153786 154128 155952 157833 159952 160056 163584 163797 166104 168948 172672 173394 175332 177216 179712 179946 183027 184032 184832 189696 189943 191984 194256 194688 196864 196992 199368 205048 205504 207936 210444 213408 215982 218396 218538 219024 221472 225264 227981 230679 231192 233776 233928 236288 239928 244036 245376 249156 253422 259008 259584 259922 260091 262656 262998 265824 269568 269919 277248 277609 280592 284544 287976 291384 292032 295296 299052 300352 307572 308256 311904 315666 319904 320112 323973 327168 327594 332208 333203 337896 345344 346788 350664 354432 359892 366054 368064 379392 379886 380133 383968 388512 389376 389883 393728 393984 394497 398736 410096 411008 415872 420888 426816 431964 436792 437076 438048 442944 450528 455962 461358 462384 467552 467856 472576 473499 479856 488072 490752 491391 498312 506844 518016 519844 520182 525996 531648 539136 539838 549081 554496 555218 561184 569088 569829 575952 582768 584064 590592 598104 600704 615144 616512 623808 631332 639808 640224 647946 655188 664416 666406 675792 683943 690688 692037 693576 701328 708864 709787 719784 732108 736128 759772 760266 767936 777024 778752 779766 787968 788994 797472 809757 820192 822016 831744 832827 841776 853632 863928 873584 874152 876096 885888 901056 911924 922716 924768 935104 935712 946998 959712 971919 976144 981504 982782 996624 999609 1013688 1036032 1037381 1039688 1040364 1051992 1063296 1079676 1098162 1110436 1122368 1138176 1139658 1151904 1165536 1168128 1169649 1181184 1183491 1196208 1201408 1230288 1233024 1247616 1262664 1279616 1280448 1295892 1310376 1328832 1332812 1351584 1367886 1384074 1387152 1402656 1417728 1419574 1420497 1439568 1464216 1472256 1474173 1519544 1520532 1535872 1554048 1559532 1577988 1594944 1619514 1640384 1644032 1647243 1663488 1665654 1683552 1707264 1709487 1727856 1747168 1748304 1752192 1771776 1802112 1823848 1845432 1849536 1870208 1871424 1893996 1919424 1943838 1952288 1965564 1993248 1999218 2027376 2051829 2072064 2074762 2076111 2079376 2080728 2103984 2126592 2129361 2159352 2196324 2220872 2244736 2279316 2303808 2331072 2336256 2339298 2366982 2392416 2402816 2460576 2466048 2469259 2495232 2498481 2525328 2559232 2560896 2591784 2620752 2657664 2665624 2703168 2735772 2768148 2774304 2805312 2839148 2840994 2879136 2928432 2944512 2948346 2998827 3039088 3041064 3071744 3108096 3112143 3119064 3155976 3189888 3239028 3280768 3294486 3331308 3367104 3414528 3418974 3455712 3494336 3496608 3504384 3508947 3543552 3604224 3608917 3647696 3690864 3699072 3740416 3742848 3787992 3838848 3887676 3904576 3931128 3986496 3998436 4054752 4103658 4149524 4152222 4158752 4161456 4207968 4253184 4258722 4318704 4331639 4392648 4422519 4441744 4489472 4558632 4607616 4662144 4678596 4733964 4784832 4921152 4932096 4938518 4941729 4990464 4996962 5050656 5118464 5121792 5128461 5183568 5241504 5315328 5331248 5406336 5471544 5536296 5548608 5610624 5678296 5681988 5758272 5856864 5896692 5997654 6078176 6082128 6143488 6155487 6216192 6224286 6238128 6311952 6379776 6388083 6478056 6561536 6588972 6662616 6734208 6837948 6911424 6988672 6993216 7008768 7017894 7208448 7217834 7295392 7381728 7398144 7407777 7480832 7485696 7495443 7575984 7677696 7775352 7809152 7862256 7972992 7996872 8109504 8207316 8299048 8304444 8317504 8322912 8415936 8517444 8637408 8663278 8785296 8845038 8883488 8978944 8996481 9117264 9215232 9227231 9324288 9336429 9357192 9467928 9569664 9842304 9877036 9883458 9993924 10101312 10243584 10256922 10367136 10483008 10526841 10630656 10662496 10812672 10826751 10943088 11072592 11097216 11221248 11356592 11363976 11516544 11713728 11793384 11995308 12156352 12164256 12310974 12448572 12476256 12623904 12759552 12776166 12956112 12994917 13123072 13177944 13325232 13468416 13485953 13675896 13822848 13977344 13986432 14035788 14435668 14590784 14763456 14796288 14815554 14971392 14990886 15151968 15355392 15385383 15550704 15618304 15724512 15945984 15993744 16219008 16414632 16598096 16608888 16635008 16645824 16831872 17034888 17274816 17326556 17570592 17690076 17766976 17992962 18234528 18430464 18454462 18466461 18648576 18672858 18714384 18935856 19139328 19164249 19684608 19710239 19754072 19766916 19987848 20202624 20513844 20734272 20966016 21053682 21324992 21625344 21653502 21886176 22145184 22194432 22223331 22442496 22486329 22713184 22727952 23033088 23427456 23586768 23990616 24312704 24328512 24621948 24897144 24952512 25247808 25552332 25912224 25989834 26355888 26650464 26936832 26971906 26989443 27351792 27645696 27681693 27954688 27972864 28009287 28071576 28871336 29181568 29526912 29631108 29981772 30303936 30770766 31101408 31236608 31449024 31891968 31987488 32438016 32480253 32829264 33196192 33217776 33270016 33291648 33663744 34069776 34549632 34653112 35141184 35380152 35533952 35985924 36469056 36908924 36932922 37345716 37428768 37871712 38278656 38328498 38984751 39369216 39420478 39508144 39533832 39975696 40405248 40457859 41027688 41468544 41932032 42107364 42649984 43307004 43772352 44290368 44388864 44446662 44972658 45426368 45455904 46066176 46854912 46915921 47173536 47981232 48625408 48657024 49243896 49794288 49905024 50495616 51104664 51824448 51979668 52711776 53300928 53943812 53978886 54703584 55291392 55363386 55945728 56018574 56143152 57492747 57742672 58363136 59053824 59130717 59262216 59963544 60607872 61541532 62202816 62898048 63974976 64876032 64960506 65658528 66392384 66435552 66540032 66583296 66669993 67327488 68139552 69099264 69306224 70282368 70760304 71067904 71971848 72938112 73817848 73865844 74691432 74857536 75743424 76656996 77969502 78840956 79016288 79067664 79951392 80810496 80915718 82055376 82937088 83045079 83864064 84027861 84214728 85299968 86614008 87544704 88580736 88893324 89945316 90852736 90911808 93709824 93831842 94347072 95962464 97250816 97314048 97440759 98487792 99588576 99810048 100991232 102209328 103648896 103959336 105423552 106601856 107887624 107957772 109407168 110726772 112037148 112286304 114985494 115485344 116726272 116954253 118107648 118261434 118524432 119927088 121215744 121373577 123083064 124405632 125796096 127949952 129921012 131317056 132784768 132871104 133166592 133339986 136279104 138198528 138612448 140564736 140747763 141520608 142135808 143943696 145876224 147635696 147731688 149382864 149715072 151486848 153313992 155939004 157681912 158032576 158135328 159902784 161831436 164110752 165874176 166090158 168055722 168429456 170599936 173228016 175089408 175317389 177161472 177392151 177786648 179890632 181705472 181823616 187663684 188694144 191924928 194628096 194881518 196975584 199177152 199620096 200009979 201982464 204418656 207297792 207918672 210847104 213203712 215775248 215915544 218814336 221453544 224074296 224572608 229970988 230970688 233908506 236522868 237048864 239854176 242431488 242747154 246166128 248811264 249135237 251592192 255899904 256233107 259842024 262634112 265569536 265742208 266679972 272558208 277224896 281129472 281495526 283041216 287887392 291752448 292322277 295271392 295463376 298765728 299430144 302973696 306627984 311878008 315363824 316065152 316270656 319805568 323662872 328221504 332180316 336111444 336858912 346456032 350178816 350634778 350862759 354322944 354784302 355573296 359781264 363410944 363647232 364120731 375327368 377388288 383849856 389763036 393951168 398354304 400019958 408837312 414595584 415837344 421694208 422243289 426407424 431550496 431831088 437628672 442907088 448148592 449145216 459941976 461941376 467817012 473045736 474097728 479708352 485494308 492332256 497622528 498270474 511799808 512466214 519684048 525268224 525952167 531139072 531484416 532176453 533359944 545116416 554449792 562991052 566082432 575774784 584644554 590542784 590926752 597531456 598860288 605947392 613255968 623756016 630727648 632130304 632541312 639611136 647325744 656443008 664360632 672222888 673717824 692912064 701269556 701725518 709568604 711146592 719562528 727294464 728241462 747405711 750654736 754776576 767699712 768699321 779526072 787902336 796708608 800039916 817674624 831674688 843388416 844486578 863100992 863662176 875257344 885814176 896297184 898290432 919883952 923882752 935634024 946091472 948195456 959416704 970988616 984664512 996540948 1024932428 1039368096 1050536448 1051904334 1062968832 1064352906 1066719888 1090232832 1092362193 1108899584 1125982104 1132164864 1151549568 1169289108 1181085568 1181853504 1195062912 1226511936 1247512032 1261455296 1264260608 1265082624 1266729867 1279222272 1294651488 1312886016 1328721264 1344445776 1347435648 1385824128 1402539112 1403451036 1419137208 1422293184 1439125056 1456482924 1494811422 1501309472 1535399424 1537398642 1559052144 1575804672 1577856501 1593417216 1596529359 1600079832 1635349248 1663349376 1688973156 1726201984 1727324352 1771628352 1792594368 1796580864 1839767904 1847765504 1871268048 1892182944 1896390912 1918833408 1941977232 1969329024 1993081896 2049864856 2078736192 2103808668 2128705812 2133439776 2184724386 2217799168 2251964208 2264329728 2303099136 2306097963 2338578216 2362171136 2363707008 2390125824 2453023872 2495024064 2522910592 2530165248 2533459734 2589302976 2625772032 2657442528 2688891552 2694871296 2771648256 2805078224 2806902072 2838274416 2844586368 2878250112 2912965848 2989622844 3002618944 3074797284 3118104288 3151609344 3155713002 3193058718 3200159664 3270698496 3326698752 3331030391 3377946312 3452403968 3454648704 3543256704 3585188736 3679535808 3742536096 3784365888 3792781824 3800189601 3837666816 3883954464 3938658048 3986163792 4099729712 4157472384 4207617336 4257411624 4266879552 4369448772 4503928416 4606198272 4612195926 4677156432 4724342272 4727414016 4733569503 4780251648 4906047744 4990048128 5045821184 5066919468 5178605952 5314885056 5377783104 5389742592 5543296512 5610156448 5613804144 5676548832 5689172736 5756500224 5825931696 5979245688 6005237888 6149594568 6236208576 6311426004 6386117436 6400319328 6653397504 6662060782 6755892624 6904807936 6909297408 6918293889 7086513408 7170377472 7359071616 7485072192 7568731776 7600379202 7767908928 7877316096 7972327584 8199459424 8314944768 8415234672 8514823248 8533759104 8738897544 9007856832 9224391852 9354312864 9454828032 9467139006 9812095488 9980096256 9993091173 10091642368 10133838936 10357211904 10629770112 10755566208 11220312896 11227608288 11353097664 11378345472 11513000448 11651863392 11958491376 12010475776 12299189136 12472417152 12622852008 12772234872 12800638656 13324121564 13511785248 13818594816 13836587778 14173026816 14200708509 14340754944 14718143232 14970144384 15137463552 15200758404 15535817856 15944655168 16398918848 16629889536 16830469344 17029646496 17067518208 17477795088 18015713664 18448783704 18708625728 18934278012 19960192512 19986182346 20267677872 20714423808 20754881667 21259540224 21511132416 22440625792 22455216576 22706195328 23303726784 23916982752 24020951552 24598378272 24944834304 25245704016 25544469744 25601277312 26648243128 27023570496 27673175556 28401417018 29436286464 29940288768 29979273519 30274927104 30401516808 31071635712 31889310336 32797837696 33660938688 34059292992 34135036416 34955590176 36031427328 36897567408 37417251456 37868556024 39972364692 40535355744 41509763334 42519080448 43022264832 44881251584 44910433152 45412390656 46607453568 47833965504 49196756544 49889668608 50491408032 51088939488 51202554624 53296486256 54047140992 55346351112 56802834036 59880577536 59958547038 60803033616 62143271424 63778620672 65595675392 67321877376 68118585984 69911180352 72062854656 73795134816 74834502912 75737112048 79944729384 81070711488 83019526668 89762503168 89820866304 89937820557 90824781312 93214907136 95667931008 98393513088 100982816064 102177878976 102405109248 106592972512 108094281984 110692702224 113605668072 119917094076 121606067232 127557241344 131191350784 134643754752 136237171968 139822360704 147590269632 149669005824 151474224096 159889458768 162141422976 166039053336 179641732608 179875641114 186429814272 191335862016 196787026176 201965632128 204355757952 213185945024 216188563968 221385404448 227211336144 239834188152 243212134464 269287509504 269813461671 272474343936 279644721408 295180539264 302948448192 319778917536 324282845952 332078106672 359751282228 382671724032 393574052352 403931264256 408711515904 426371890048 442770808896 454422672288 479668376304 486424268928 539626923342 559289442816 590361078528 605896896384 639557835072 648565691904 664156213344 719502564456 807862528512 817423031808 852743780096 885541617792 908845344576 959336752608 972848537856 1079253846684 1180722157056 1211793792768 1279115670144 1328312426688 1439005128912 1705487560192 1771083235584 1817690689152 1918673505216 1945697075712 2158507693368 2423587585536 2558231340288 2656624853376 2878010257824 3542166471168 3635381378304 3837347010432 4317015386736 5116462680576 5313249706752 5756020515648 7270762756608 7674694020864 8634030773472 10626499413504 11512041031296 15349388041728 17268061546944 23024082062592 34536123093888 46048164125184 69072246187776 138144492375552
- Sum of all divisors σ(n): 478476145722960
- Sum of proper divisors (its aliquot sum) s(n): 340331653347408
- 138144492375552 is an abundant number, because the sum of its proper divisors (340331653347408) is greater than itself. Its abundance is 202187160971856
Bases of 138144492375552
- Binary: 111110110100100010001010110010101001110000000002
- Hexadecimal: 0x7DA445654E00
- Base-36: 1CYUPBZ400
Squares and roots of 138144492375552
- 138144492375552 squared (1381444923755522) is 19083900773698944660207304704
- 138144492375552 cubed (1381444923755523) is 2636335784928044774384636788053464064196608
-
The
square root of 138144492375552 is 11753488.5193950821 -
The
cube root of 138144492375552 is 51694.5221241941
Scales and comparisons
How big is 138144492375552?- 138,144,492,375,552 seconds is equal to 4,392,567 years, 28 weeks, 3 days, 16 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,144,492,375,552 would take you about ten million, nine hundred eighty-one thousand, four hundred eighteen 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 138144492375552 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138144492375552
- 138144492375552 backwards is 255573294441831
- The number of decimal digits it has is: 15
- The sum of 138144492375552's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138144492375552 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 138144492375552 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138144492375552/
Chicago style:
Numbermatics. 2024. "Number 138144492375552 - Facts about the integer". https://numbermatics.com/n/138144492375552/
The information we have on file for 138144492375552 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 138144492375552, math, Factors of 138144492375552, curriculum, school, college, exams, university, Prime factorization of 138144492375552, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred forty-four billion, four hundred ninety-two million, three hundred seventy-five thousand, five hundred fifty-two.