138448323891072
138,448,323,891,072 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138448323891072 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
138448323891072 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138448323891072:
27 × 32 × 13 × 17 × 61 × 71 × 241 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 61 × 71 × 241 × 521)See below for interesting mathematical facts about the number 138448323891072 from the Numbermatics database.
Names of 138448323891072
- Cardinal: 138448323891072 can be written as One hundred thirty-eight trillion, four hundred forty-eight billion, three hundred twenty-three million, eight hundred ninety-one thousand and seventy-two.
Scientific notation
- Scientific notation: 1.38448323891072 × 1014
Factors of 138448323891072
Divisors of 138448323891072
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 61 64 68 71 72 78 96 102 104 117 122 128 136 142 144 153 156 183 192 204 208 213 221 234 241 244 272 284 288 306 312 366 384 408 416 426 442 468 482 488 521 544 549 568 576 612 624 639 663 723 732 793 816 832 852 884 923 936 964 976 1037 1042 1088 1098 1136 1152 1207 1224 1248 1278 1326 1446 1464 1563 1586 1632 1664 1704 1768 1846 1872 1928 1952 1989 2074 2084 2169 2176 2196 2272 2379 2414 2448 2496 2556 2652 2769 2892 2928 3111 3126 3133 3172 3264 3408 3536 3621 3692 3744 3856 3904 3978 4097 4148 4168 4331 4338 4392 4544 4689 4758 4828 4896 4992 5112 5304 5538 5784 5856 6222 6252 6266 6344 6528 6773 6816 7072 7137 7242 7384 7488 7712 7808 7956 8194 8296 8307 8336 8662 8676 8784 8857 9088 9333 9378 9399 9516 9656 9792 10224 10608 10863 11076 11568 11712 12291 12444 12504 12532 12688 12993 13481 13546 13632 14144 14274 14484 14701 14768 14976 15424 15691 15912 16388 16592 16614 16672 17111 17324 17352 17568 17714 18666 18756 18798 19032 19312 19584 20319 20448 21216 21726 22152 23136 23424 24582 24888 25008 25064 25376 25986 26571 26962 27092 27264 28197 28288 28548 28968 29402 29536 30848 31382 31781 31824 32776 33184 33228 33344 34222 34648 34704 35136 35428 36873 36991 37332 37512 37596 38064 38624 38979 40443 40638 40896 42432 43452 44103 44304 46272 47073 49164 49776 50016 50128 50752 51333 51972 53142 53261 53924 54184 56303 56394 57096 57936 58804 59072 60957 62764 63562 63648 65552 66368 66456 66688 68444 69296 69408 70272 70856 73627 73746 73982 74664 75024 75192 76128 77248 77958 79713 80886 81276 81792 84864 86904 88206 88608 92544 94146 95343 98328 99552 100032 100256 101504 102666 103944 106284 106522 107848 108368 110973 112606 112788 114192 115141 115872 117608 118144 121329 121914 125528 125561 127124 127296 131104 132309 132736 132912 136888 138592 138816 141219 141712 147254 147492 147964 149328 150048 150384 152256 153999 154496 155916 159426 159783 161772 162552 168909 173808 176412 177216 188292 190686 191113 196656 199104 200064 200512 205332 207888 212568 213044 215696 216736 220881 221946 222443 225212 225576 228384 230282 231744 235216 242658 243828 249917 251056 251122 254248 254592 262208 264618 265824 273776 277184 277632 282438 283424 286029 290887 294508 294984 295928 298656 300096 300768 304512 307998 311832 318852 319566 323544 325104 332919 337818 345423 347616 352824 354432 376584 376683 381372 382226 393312 398208 401024 410664 413153 415776 425136 426088 431392 433472 441762 443892 444886 450424 451152 456768 460564 463488 470432 479349 480883 485316 487656 499834 502112 502244 506727 508496 524416 529236 531648 540277 547552 554368 564876 566848 572058 573339 581774 589016 589968 591856 597312 600192 601536 615996 623664 628847 637704 639132 647088 650208 662643 665838 667329 675636 690846 695232 705648 749751 753168 753366 762744 764452 786624 821328 826306 831552 850272 852176 862784 866944 872661 883524 887784 889772 900848 902304 913536 921128 940864 957151 958698 961766 970632 975312 999668 1004224 1004488 1013454 1016992 1036269 1043771 1058472 1063296 1080554 1095104 1129752 1130049 1133696 1144116 1146678 1163548 1178032 1179936 1183712 1194624 1203072 1231992 1239459 1247328 1257694 1275408 1278264 1294176 1300416 1325286 1331676 1334658 1351272 1381692 1390464 1411296 1442649 1499502 1506336 1506732 1525488 1528904 1573248 1620831 1632293 1642656 1652612 1663104 1700544 1704352 1720017 1725568 1745322 1767048 1775568 1779544 1801696 1804608 1842256 1881728 1886541 1914302 1917396 1923532 1941264 1950624 1999336 2001987 2008448 2008976 2026908 2033984 2072538 2087542 2116944 2134537 2161108 2190208 2249253 2256451 2259504 2260098 2288232 2293356 2327096 2356064 2359872 2367424 2463984 2478918 2494656 2515388 2550816 2556528 2588352 2600832 2617983 2650572 2663352 2669316 2702544 2763384 2822592 2871453 2885298 2999004 3012672 3013464 3050976 3057808 3131313 3241662 3248921 3264586 3285312 3305224 3401088 3408704 3440034 3490644 3534096 3551136 3559088 3603392 3609216 3684512 3718377 3773082 3781531 3828604 3834792 3847064 3882528 3901248 3998672 4003974 4017952 4053816 4067968 4145076 4175084 4233888 4269074 4322216 4327947 4498506 4512902 4519008 4520196 4576464 4586712 4654192 4712128 4719744 4734848 4862493 4896879 4927968 4957836 4989312 5030776 5101632 5113056 5176704 5235966 5301144 5326704 5338632 5405088 5526768 5645184 5659623 5742906 5770596 5998008 6025344 6026928 6101952 6115616 6262626 6403611 6483324 6497842 6529172 6570624 6610448 6769353 6817408 6880068 6981288 7023601 7068192 7102272 7118176 7206784 7369024 7436754 7546164 7563062 7657208 7659221 7669584 7694128 7765056 7802496 7997344 8007948 8035904 8107632 8175011 8290152 8350168 8467776 8538148 8614359 8644432 8655894 8914831 8997012 9025804 9038016 9040392 9152928 9173424 9308384 9393939 9424256 9724986 9746763 9793758 9855936 9915672 10061552 10203264 10226112 10471932 10602288 10653408 10677264 10810176 11053536 11319246 11344593 11485812 11541192 11996016 12053856 12203904 12231232 12525252 12807222 12966648 12995684 13058344 13220896 13538706 13569023 13760136 13962576 14047202 14136384 14204544 14236352 14690637 14738048 14873508 15092328 15126124 15314416 15318442 15339168 15388256 15530112 15994688 16015896 16071808 16215264 16350022 16580304 16700336 16935552 17076296 17228718 17288864 17311788 17744107 17829662 17994024 18051608 18076032 18080784 18305856 18346848 18616768 18787878 19210833 19449972 19493526 19587516 19711872 19831344 20123104 20308059 20452224 20943864 21070803 21204576 21306816 21354528 21620352 22107072 22638492 22689186 22971624 22977663 23082384 23992032 24107712 24462464 24525033 25050504 25614444 25933296 25991368 26116688 26441792 26744493 27077412 27138046 27520272 27748981 27925152 28094404 28272768 28472704 29240289 29333863 29381274 29747016 30184656 30252248 30628832 30636884 30678336 30776512 31989376 32031792 32430528 32700044 33160608 33400672 34033779 34152592 34457436 34577728 34623576 35488214 35659324 35988048 36103216 36161568 36611712 36693696 37233536 37575756 38359667 38421666 38899944 38987052 39175032 39662688 40246208 40616118 40707069 41887728 42141606 42409152 42613632 42709056 44214144 45276984 45378372 45943248 45955326 46164768 47984064 48215424 49050066 50101008 51228888 51866592 51982736 52233376 52883584 53232321 53488986 54154824 54276092 55040544 55497962 55850304 56188808 58480578 58667726 58762548 59494032 60369312 60504496 61257664 61273768 61356672 61553024 63212409 64063584 64861056 65400088 66321216 66801344 68067558 68305184 68914872 68932989 69155456 69247152 70976428 71318648 71976096 72206432 72323136 73387392 73575099 75151512 76719334 76843332 77799888 77974104 78350064 79325376 80233479 80492416 81232236 81414138 83246943 83775456 84283212 84818304 85418112 88001589 90553968 90756744 91886496 91910652 92329536 95968128 98100132 99569873 100202016 102457776 103733184 103965472 104466752 106464642 106977972 108309648 108552184 110081088 110995924 111700608 112377616 115079001 115892803 116961156 117335452 117525096 118988064 120738624 121008992 122121207 122515328 122547536 126424818 128127168 130206757 130800176 132642432 133602688 136135116 136610368 137829744 137865978 138494304 141952856 142637296 143952192 144412864 144646272 147150198 150303024 151552127 153438668 153686664 155599776 155948208 156700128 158650752 159696963 160466958 162464472 162828276 166493886 167550912 168566424 176003178 181107936 181513488 183772992 183821304 184659072 196200264 199139746 200404032 204915552 207466368 207930944 208933504 212929284 213955944 216619296 217104368 220162176 221991848 224755232 230158002 230673391 231785606 233922312 234670904 235050192 237976128 241477248 242017984 244242414 245095072 249740829 252849636 256254336 260413514 261600352 264004767 272270232 273220736 275659488 275731956 276988608 283905712 285274592 287904384 288825728 294300396 298709619 300606048 303104254 306877336 307373328 311199552 311896416 313400256 319393926 320933916 324928944 325656552 332987772 335101824 337132848 345237003 347678409 352006356 362215872 363026976 367545984 367642608 390620271 392400528 398279492 400808064 409831104 415861888 425858568 427911888 433238592 434208736 443983696 449510464 454656381 460316004 461346782 463571212 467844624 469341808 470100384 475952256 484035968 488484828 490190144 498675671 499481658 505699272 520827028 523200704 528009534 543804691 544540464 551318976 551463912 553977216 567811424 570549184 588600792 597419238 601212096 606208508 613754672 614746656 622399104 623792832 626800512 638787852 641867832 649857888 651313104 665975544 674265696 690474006 692020173 695356818 704012712 724431744 726053952 735285216 781240542 784801056 796558984 819662208 851717136 855823776 866477184 868417472 887967392 896128857 899020928 909312762 920632008 922693564 927142424 935689248 938683616 940200768 976969656 980380288 997351342 998963316 1011398544 1041654056 1043035227 1046401408 1056019068 1087609382 1089080928 1102637952 1102927824 1135622848 1141098368 1171860813 1177201584 1194838476 1202424192 1212417016 1227509344 1229493312 1247585664 1277575704 1283735664 1299715776 1302626208 1331951088 1348531392 1363969143 1380948012 1384040346 1390713636 1408025424 1452107904 1470570432 1496027013 1562481084 1569602112 1593117968 1631414073 1692687841 1703434272 1711647552 1736834944 1775934784 1792257714 1818625524 1841264016 1845387128 1854284848 1871378496 1877367232 1880401536 1953939312 1970177651 1994702684 1997926632 2022797088 2076060519 2083308112 2086070454 2112038136 2175218764 2178161856 2205855648 2271245696 2343721626 2354403168 2389676952 2424834032 2455018688 2458986624 2555151408 2567471328 2599431552 2605252416 2663902176 2697062784 2727938286 2761896024 2768080692 2781427272 2816050848 2941140864 2992054026 3124962168 3139204224 3186235936 3262828146 3385375682 3406868544 3423295104 3551869568 3584515428 3637251048 3682528032 3690774256 3708569696 3742756992 3754734464 3907878624 3940355302 3989405368 3995853264 4045594176 4152121038 4166616224 4172140908 4224076272 4350437528 4356323712 4411711296 4488081039 4687443252 4708806336 4779353904 4849668064 4894242219 4910037376 5078063523 5110302816 5134942656 5210504832 5327804352 5455876572 5523792048 5536161384 5562854544 5632101696 5910532953 5984108052 6249924336 6372471872 6525656292 6770751364 6813737088 7069460983 7169030856 7274502096 7365056064 7381548512 7417139392 7815757248 7880710604 7978810736 7991706528 8091188352 8304242076 8333232448 8344281816 8448152544 8700875056 8823422592 8976162078 9244679747 9374886504 9417612672 9558707808 9699336128 9788484438 10156127046 10220605632 10269885312 10655608704 10911753144 11047584096 11072322768 11125709088 11264203392 11821065906 11968216104 12499848672 12744943744 13051312584 13541502728 14138921966 14338061712 14549004192 14730112128 14763097024 14834278784 15234190569 15631514496 15761421208 15957621472 15983413056 16608484152 16666464896 16688563632 16896305088 17401750112 17731598859 17952324156 18489359494 18749773008 19117415616 19398672256 19576968876 20312254092 20441211264 21208382949 21823506288 22095168192 22144645536 22251418176 23642131812 23936432208 24999697344 26102625168 27083005456 27734039241 28277843932 28676123424 29098008384 29526194048 30468381138 31522842416 31915242944 31966826112 33216968304 33377127264 33792610176 34803500224 35463197718 35904648312 36978718988 37499546016 38234831232 39153937752 40624508184 42416765898 43647012576 44190336384 44289291072 44502836352 47284263624 47872864416 49999394688 52205250336 54166010912 55468078482 56555687864 57352246848 58196016768 60936762276 63045684832 63625148847 63830485888 66433936608 66754254528 69607000448 70926395436 71809296624 73957437976 74999092032 78307875504 81249016368 83202117723 84833531796 87294025152 88578582144 94568527248 95745728832 104410500672 108332021824 110936156964 113111375728 114704493696 120180836711 121873524552 126091369664 127250297694 132867873216 133508509056 141852790872 143618593248 147914875952 149998184064 156615751008 162498032736 166404235446 169667063592 174588050304 189137054496 191491457664 208821001344 216664043648 221872313928 226222751456 240361673422 243747049104 252182739328 254500595388 265735746432 283705581744 287237186496 295829751904 313231502016 324996065472 332808470892 339334127184 360542510133 378274108992 443744627856 452445502912 480723346844 487494098208 509001190776 567411163488 574474372992 591659503808 626463004032 649992130944 665616941784 678668254368 721085020266 756548217984 887489255712 904891005824 961446693688 974988196416 1018002381552 1081627530399 1134822326976 1183319007616 1331233883568 1357336508736 1442170040532 1774978511424 1922893387376 1949976392832 2036004763104 2163255060798 2269644653952 2662467767136 2714673017472 2884340081064 3549957022848 3845786774752 4072009526208 4326510121596 5324935534272 5768680162128 7691573549504 8144019052416 8653020243192 10649871068544 11537360324256 15383147099008 17306040486384 23074720648512 34612080972768 46149441297024 69224161945536 138448323891072
- Sum of all divisors σ(n): 471079416487680
- Sum of proper divisors (its aliquot sum) s(n): 332631092596608
- 138448323891072 is an abundant number, because the sum of its proper divisors (332631092596608) is greater than itself. Its abundance is 194182768705536
Bases of 138448323891072
- Binary: 111110111101011000000110010101001001111100000002
- Hexadecimal: 0x7DEB032A4F80
- Base-36: 1D2QA5EXS0
Squares and roots of 138448323891072
- 138448323891072 squared (1384483238910722) is 19167938388247177938521309184
- 138448323891072 cubed (1384483238910723) is 2653768942300157890563061696323358449205248
-
The
square root of 138448323891072 is 11766406.5836206765 -
The
cube root of 138448323891072 is 51732.3929168413
Scales and comparisons
How big is 138448323891072?- 138,448,323,891,072 seconds is equal to 4,402,228 years, 23 weeks, 3 days, 3 hours, 31 minutes, 12 seconds.
-
To count from 1 to 138,448,323,891,072 would take you about eleven million, five thousand, five hundred seventy-one 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 138448323891072 cubic inches would be around 4311 feet tall.
Recreational maths with 138448323891072
- 138448323891072 backwards is 270198323844831
- The number of decimal digits it has is: 15
- The sum of 138448323891072'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 138448323891072 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 138448323891072 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138448323891072/
Chicago style:
Numbermatics. 2024. "Number 138448323891072 - Facts about the integer". https://numbermatics.com/n/138448323891072/
The information we have on file for 138448323891072 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 138448323891072, math, Factors of 138448323891072, curriculum, school, college, exams, university, Prime factorization of 138448323891072, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred forty-eight billion, three hundred twenty-three million, eight hundred ninety-one thousand and seventy-two.