138003884450496
138,003,884,450,496 is an even composite number composed of six prime numbers multiplied together.
What does the number 138003884450496 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
138003884450496 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 138003884450496:
26 × 33 × 232 × 292 × 89 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 23 × 23 × 29 × 29 × 89 × 2017)See below for interesting mathematical facts about the number 138003884450496 from the Numbermatics database.
Names of 138003884450496
- Cardinal: 138003884450496 can be written as One hundred thirty-eight trillion, three billion, eight hundred eighty-four million, four hundred fifty thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.38003884450496 × 1014
Factors of 138003884450496
Divisors of 138003884450496
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 27 29 32 36 46 48 54 58 64 69 72 87 89 92 96 108 116 138 144 174 178 184 192 207 216 232 261 267 276 288 348 356 368 414 432 464 522 529 534 552 576 621 667 696 712 736 783 801 828 841 864 928 1044 1058 1068 1104 1242 1334 1392 1424 1472 1566 1587 1602 1656 1682 1728 1856 2001 2017 2047 2088 2116 2136 2208 2403 2484 2523 2581 2668 2784 2848 3132 3174 3204 3312 3364 4002 4034 4094 4176 4232 4272 4416 4761 4806 4968 5046 5162 5336 5568 5696 6003 6051 6141 6264 6348 6408 6624 6728 7569 7743 8004 8068 8188 8352 8464 8544 9522 9612 9936 10092 10324 10672 12006 12102 12282 12528 12696 12816 13248 13456 14283 15138 15341 15486 16008 16136 16376 16704 16928 17088 18009 18153 18423 19044 19224 19343 19872 20184 20648 21344 22707 23229 24012 24204 24564 25056 25392 25632 26912 28566 30276 30682 30972 32016 32272 32752 33856 36018 36306 36846 38088 38448 38686 39744 40368 41296 42688 45414 46023 46391 46458 47081 48024 48408 49128 50112 50784 51264 53824 54459 55269 57132 58029 58493 59363 60552 61364 61944 64032 64544 65504 69687 72036 72612 73692 74849 76176 76896 77372 80736 82592 90828 92046 92782 92916 94162 96048 96816 98256 101568 108918 110538 114264 116058 116986 118726 121104 122728 123888 128064 129088 131008 138069 139173 139374 141243 144072 145224 147384 149698 152352 153792 154744 161472 165184 174087 175479 178089 179513 181656 184092 185564 185832 188324 192096 193632 196512 217836 221076 224547 228528 232116 233972 237452 242208 245456 247776 276138 278346 278748 282486 288144 290448 294768 299396 304704 309488 348174 350958 356178 359026 363312 368184 371128 371664 376648 384192 387264 393024 414207 417519 423729 435672 442152 444889 449094 457056 464232 467944 474904 484416 490912 495552 522261 526437 534267 538539 552276 556692 557496 564972 576288 580896 589536 598792 618976 673641 696348 701916 712356 718052 726624 736368 742256 743328 753296 828414 835038 847458 871344 884304 889778 898188 914112 928464 935888 949808 981824 1044522 1052874 1066993 1068534 1077078 1104552 1113384 1114992 1129944 1152576 1161792 1179072 1197584 1237952 1252557 1271187 1334667 1345339 1347282 1365349 1392696 1403832 1424712 1436104 1453248 1472736 1484512 1486656 1506592 1579311 1602801 1615617 1656828 1670076 1694916 1696297 1721527 1742688 1768608 1779556 1796376 1856928 1871776 1899616 2020923 2089044 2105748 2133986 2137068 2154156 2209104 2226768 2229984 2259888 2395168 2505114 2542374 2669334 2690678 2694564 2730698 2785392 2807664 2849424 2872208 2945472 2969024 3013184 3158622 3200979 3205602 3231234 3313656 3340152 3389832 3392594 3443054 3485376 3537216 3559112 3592752 3713856 3743552 3799232 4004001 4036017 4041846 4096047 4128799 4178088 4211496 4267972 4274136 4308312 4418208 4453536 4459968 4519776 4790336 4846851 5010228 5084748 5088891 5164581 5205877 5338668 5381356 5389128 5461396 5570784 5615328 5698848 5744416 6317244 6401958 6411204 6462468 6627312 6680304 6779664 6785188 6886108 7118224 7185504 8008002 8072034 8083692 8192094 8257598 8356176 8422992 8535944 8548272 8616624 8836416 8907072 9039552 9602937 9693702 10020456 10169496 10177782 10329162 10411754 10677336 10762712 10778256 10922792 11141568 11230656 11397696 11488832 12012003 12108051 12288141 12386397 12634488 12803916 12822408 12924936 13254624 13360608 13559328 13570376 13772216 14236448 14371008 15266673 15493743 15617631 16016004 16144068 16167384 16384188 16515196 16712352 16845984 17071888 17096544 17233248 19205874 19387404 20040912 20338992 20355564 20658324 20823508 21354672 21525424 21556512 21845584 24024006 24216102 24576282 24772794 25268976 25607832 25644816 25849872 26509248 26721216 27118656 27140752 27544432 28472896 28808811 30533346 30942797 30987486 31235262 32032008 32288136 32334768 32768376 33030392 33424704 33691968 34143776 34193088 34466496 36324153 36864423 37159191 38411748 38774808 39014831 39595121 40081824 40677984 40711128 41316648 41647016 42709344 43050848 43113024 43691168 45800019 46481229 46852893 48048012 48432204 49152564 49545588 50537952 51215664 51289632 51699744 54281504 55088864 57617622 61066692 61885594 61974972 62470524 64064016 64576272 64669536 65536752 66060784 68287552 72648306 73728846 74318382 76823496 77549616 78029662 79190242 80163648 81355968 81422256 82633296 83294032 85418688 86101696 87382336 91600038 92828391 92962458 93705786 94962377 96096024 96864408 98305128 99091176 101075904 102431328 102579264 103399488 108563008 110177728 111477573 115235244 117044493 118785363 119735171 122133384 123771188 123949944 124941048 128128032 129152544 129339072 131073504 132121568 140558679 145296612 147457692 148636764 150970433 153646992 155099232 156059324 158380484 162844512 165266592 166588064 183200076 185656782 185924916 187411572 189924754 192192048 193728816 196610256 198182352 204862656 222955146 230470488 234088986 237570726 239470342 244266768 247542376 247899888 249882096 256256064 258305088 262147008 264243136 278485173 281117358 284887131 290593224 294915384 297273528 301940866 307293984 310198464 312118648 316760968 325689024 330533184 333176128 351133479 356356089 359205513 366400152 371313564 371849832 374823144 379849508 384384096 387457632 393220512 396364704 445910292 452911299 460940976 468177972 475141452 478940684 488533536 495084752 495799776 499764192 556970346 562234716 569774262 581186448 589830768 594547056 603881732 614587968 624237296 633521936 702266958 712712178 718411026 732800304 742627128 743699664 749646288 759699016 768768192 774915264 786441024 792729408 835455519 854661393 891820584 897341113 905822598 921881952 936355944 950282904 957881368 977067072 990169504 991599552 999528384 1053400437 1069068267 1077616539 1113940692 1124469432 1139548524 1162372896 1179661536 1189094112 1207763464 1248474592 1267043872 1358733897 1404533916 1425424356 1436822052 1465600608 1485254256 1487399328 1499292576 1519398032 1670911038 1709322786 1783641168 1794682226 1811645196 1843763904 1872711888 1900565808 1915762736 1980339008 2106800874 2138136534 2155233078 2227881384 2248938864 2279097048 2324745792 2359323072 2378188224 2415526928 2496949184 2534087744 2563984179 2692023339 2717467794 2753908933 2809067832 2850848712 2873644104 2931201216 2970508512 2974798656 2998585152 3038796064 3232849617 3341822076 3418645572 3472319959 3567282336 3589364452 3623290392 3745423776 3801131616 3831525472 4076201691 4213601748 4276273068 4310466156 4455762768 4497877728 4558194096 4831053856 5127968358 5384046678 5434935588 5507817866 5618135664 5701697424 5747288208 5941017024 6077592128 6465699234 6683644152 6837291144 6944639918 7134564672 7178728904 7246580784 7490847552 7602263232 7663050944 8076070017 8152403382 8261726799 8427203496 8552546136 8620932312 8911525536 8995755456 9116388192 9662107712 10255936716 10416959877 10768093356 10869871176 11015635732 11236271328 11403394848 11494576416 12931398468 13367288304 13674582288 13889279836 14357457808 14493161568 16152140034 16304806764 16523453598 16854406992 17105092272 17241864624 17823051072 18232776384 20511873432 20833919754 21536186712 21739742352 22031271464 22472542656 22806789696 22989152832 24228210051 24785180397 25862796936 26734576608 27349164576 27778559672 28714915616 28986323136 31250879631 32304280068 32609613528 33046907196 33708813984 34210184544 34483729248 41023746864 41667839508 43072373424 43479484704 44062542928 48456420102 49570360794 51725593872 53469153216 54698329152 55557119344 57429831232 62501759262 64608560136 65219227056 66093814392 67417627968 68420369088 68967458496 74355541191 79863359057 82047493728 83335679016 86144746848 86958969408 88125085856 93752638893 96912840204 99140721588 103451187744 111114238688 125003518524 129217120272 130438454112 132187628784 148711082382 159726718114 164094987456 166671358032 172289493696 176250171712 187505277786 193825680408 198281443176 206902375488 222228477376 239590077171 250007037048 258434240544 260876908224 264375257568 297422164764 319453436228 333342716064 375010555572 387651360816 396562886352 479180154342 500014074096 516868481088 528750515136 594844329528 638906872456 666685432128 718770231513 750021111144 775302721632 793125772704 958360308684 1000028148192 1189688659056 1277813744912 1437540463026 1500042222288 1550605443264 1586251545408 1916720617368 2000056296384 2156310694539 2379377318112 2555627489824 2875080926052 3000084444576 3833441234736 4312621389078 4758754636224 5111254979648 5750161852104 6000168889152 7666882469472 8625242778156 11500323704208 15333764938944 17250485556312 23000647408416 34500971112624 46001294816832 69001942225248 138003884450496
- Sum of all divisors σ(n): 444396541024800
- Sum of proper divisors (its aliquot sum) s(n): 306392656574304
- 138003884450496 is an abundant number, because the sum of its proper divisors (306392656574304) is greater than itself. Its abundance is 168388772123808
Bases of 138003884450496
- Binary: 111110110000011100010001000001010100010110000002
- Hexadecimal: 0x7D838882A2C0
- Base-36: 1CX23XNAO0
Squares and roots of 138003884450496
- 138003884450496 squared (1380038844504962) is 19045072123425851655874646016
- 138003884450496 cubed (1380038844504963) is 2628293932672623725833385034898030675623936
-
The
square root of 138003884450496 is 11747505.4564999459 -
The
cube root of 138003884450496 is 51676.9773856981
Scales and comparisons
How big is 138003884450496?- 138,003,884,450,496 seconds is equal to 4,388,096 years, 33 weeks, 6 days, 3 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,003,884,450,496 would take you about ten million, nine hundred seventy thousand, two hundred forty-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 138003884450496 cubic inches would be around 4306.4 feet tall.
Recreational maths with 138003884450496
- 138003884450496 backwards is 694054488300831
- The number of decimal digits it has is: 15
- The sum of 138003884450496'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 138003884450496 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
APA style:
Numbermatics. (2024). Number 138003884450496 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/138003884450496/
Chicago style:
Numbermatics. 2024. "Number 138003884450496 - Facts about the integer". https://numbermatics.com/n/138003884450496/
The information we have on file for 138003884450496 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 138003884450496, math, Factors of 138003884450496, curriculum, school, college, exams, university, Prime factorization of 138003884450496, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three billion, eight hundred eighty-four million, four hundred fifty thousand, four hundred ninety-six.