138078377557848
138,078,377,557,848 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138078377557848 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1024 divisors.
138078377557848 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 138078377557848:
23 × 33 × 7 × 13 × 37 × 181 × 331 × 3169
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 37 × 181 × 331 × 3169)See below for interesting mathematical facts about the number 138078377557848 from the Numbermatics database.
Names of 138078377557848
- Cardinal: 138078377557848 can be written as One hundred thirty-eight trillion, seventy-eight billion, three hundred seventy-seven million, five hundred fifty-seven thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38078377557848 × 1014
Factors of 138078377557848
Divisors of 138078377557848
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 37 39 42 52 54 56 63 72 74 78 84 91 104 108 111 117 126 148 156 168 181 182 189 216 222 234 252 259 273 296 312 331 333 351 362 364 378 444 468 481 504 518 543 546 662 666 702 724 728 756 777 819 888 936 962 993 999 1036 1086 1092 1267 1324 1332 1404 1443 1448 1512 1554 1629 1638 1924 1986 1998 2072 2172 2184 2317 2331 2353 2457 2534 2648 2664 2808 2886 2979 3108 3169 3258 3276 3367 3801 3848 3972 3996 4303 4329 4344 4634 4662 4706 4887 4914 5068 5772 5958 6216 6338 6516 6552 6697 6734 6951 6993 7059 7602 7944 7992 8606 8658 8937 9268 9324 9412 9507 9774 9828 10101 10136 11403 11544 11916 12247 12676 12909 12987 13032 13394 13468 13902 13986 14118 15204 16471 17212 17316 17874 18536 18648 18824 19014 19548 19656 20091 20202 20853 21177 22183 22806 23832 24494 25352 25818 25974 26788 26936 27804 27972 28236 28521 30121 30303 30408 32942 34209 34424 34632 35748 36741 38028 38727 39096 40182 40404 41197 41706 42354 44366 45612 46879 48988 49413 51636 51948 53576 55608 55944 56472 57042 59911 60242 60273 60606 62559 63531 65884 66549 68418 71496 73482 76056 77454 80364 80808 82394 83412 84708 85563 85729 87061 88732 90363 90909 91224 93758 97976 98826 103272 103896 110223 114084 116181 117253 119822 120484 120546 121212 123591 125118 127062 131768 133098 136836 140637 146964 148239 154908 159211 160728 164788 166824 169416 171126 171458 174122 177464 179733 180726 180819 181818 187516 197652 199647 220446 228168 232362 234506 239644 240968 241092 242424 247182 250236 254124 257187 261183 266196 271089 273672 281274 288379 293928 296478 309816 318422 329576 330669 342252 342916 348244 351759 359466 361452 361638 363636 370773 375032 395304 399294 419377 421911 440892 444717 464724 469012 477633 479288 482184 494364 500472 508248 514374 522366 532392 539199 542178 562548 573589 576758 592956 598941 609427 636844 661338 684504 685832 696488 703518 718932 722904 723276 727272 741546 771561 778843 783549 798588 813267 820771 838754 843822 865137 881784 889434 929448 938024 955266 988728 1028748 1044732 1048939 1055277 1078398 1084356 1112319 1114477 1125096 1147178 1153516 1185912 1197882 1218854 1258131 1265733 1273688 1322676 1407036 1432899 1437864 1446552 1483092 1524289 1543122 1557686 1567098 1597176 1617597 1626534 1641542 1677508 1687644 1720767 1730274 1778868 1828281 1910532 2057496 2089464 2097878 2110554 2156796 2168712 2216707 2224638 2228954 2294356 2307032 2314683 2336529 2350647 2395764 2437708 2462313 2516262 2531466 2595411 2645352 2814072 2865798 2966184 3048578 3086244 3115372 3134196 3146817 3165831 3235194 3253068 3283084 3343431 3355016 3375288 3441534 3460548 3557736 3656562 3774393 3821064 4015123 4195756 4221108 4298697 4313592 4433414 4449276 4457908 4572867 4588712 4629366 4673058 4701294 4791528 4875416 4924626 5032524 5062932 5162301 5190822 5451901 5484843 5731596 6097156 6172488 6230744 6268392 6293634 6331662 6470388 6506136 6566168 6650121 6686862 6883068 6921096 7009587 7313124 7342573 7386939 7456657 7548786 7786233 8030246 8391512 8442216 8597394 8866828 8898552 8915816 9145734 9258732 9346116 9402588 9440451 9849252 10030293 10065048 10125864 10324602 10381644 10670023 10903802 10969686 11323179 11463192 12045369 12194312 12587268 12663324 12940776 13300242 13373724 13636207 13718601 13766136 14019174 14626248 14685146 14773878 14913314 15097572 15486903 15516949 15572466 16060492 16355703 16454529 17194788 17733656 18291468 18517464 18692232 18805176 18880902 19698504 19950363 20060586 20649204 20763288 21028761 21222793 21340046 21807604 21939372 22027719 22160817 22369971 22646358 24090738 25174536 25326648 26600484 26747448 27272414 27437202 28038348 28321353 28817191 29370292 29547756 29826628 30090879 30195144 30973806 31033898 31144932 32010069 32120984 32711406 32909058 34389576 36136107 36582936 37761804 38810743 39900726 40121172 40908621 41155803 41298408 42057522 42445586 42680092 43615208 43878744 44055438 44321634 44739942 45292716 46550847 48181476 49067109 52196599 53200968 54544828 54874404 56076696 56642706 57634382 58740584 59095512 59653256 59851089 60181758 61947612 62067796 62289864 63668379 64020138 65422812 65818116 66083157 67109913 72272214 75523608 77621486 79801452 80242344 81817242 82311606 84115044 84891172 85360184 86451573 88110876 88643268 89479884 90585432 93101694 95453449 96030207 96362952 98134218 104393198 108408321 109089656 109748808 113285412 115268764 116432229 119702178 120363516 122725863 123895224 124135592 127336758 128040276 130845624 131636232 132166314 134219826 139652541 144544428 147201327 148559551 155242972 156589797 159602904 163634484 164623212 168230088 169782344 172903146 176221752 177286536 178959768 186203388 189857959 190906898 191005137 192060414 196268436 198249471 201329739 201720337 208786396 216816642 226570824 230537528 232864458 239404356 240727032 245451726 254673516 256080552 259354719 264332628 268439652 271675201 275896309 279305082 286360347 288090621 289088856 294402654 297119102 310485944 313179594 327268968 329246424 345806292 349296687 368177589 372406776 379715918 381813796 382010274 384120828 392536872 396498942 402659478 403440674 417572792 418957623 433633284 445678653 465728916 469769391 478808712 490903452 504539659 509347032 518709438 528665256 536879304 543350402 551792618 558610164 569573877 572720694 573015411 576181242 588805308 594238204 605161011 626359188 691612584 698593374 736355178 759431836 763627592 764020548 768241656 778064157 792997884 805318956 806881348 815025603 827688927 837915246 859081041 867266568 891357306 931457832 939538782 981806904 1009079318 1037418876 1047890061 1086700804 1103585236 1117220328 1139147754 1145441388 1146030822 1152362484 1177610616 1188476408 1210322022 1252718376 1329005713 1337035959 1397186748 1409308173 1472710356 1513618977 1518863672 1528041096 1556128314 1585995768 1610637912 1613762696 1630051206 1655377854 1675830492 1708721631 1718162082 1782714612 1815483033 1879077564 1931274163 2018158636 2074837752 2095780122 2173401608 2207170472 2278295508 2290882776 2292061644 2304724968 2420644044 2445076809 2468153467 2483066781 2577243123 2658011426 2674071918 2794373496 2818616346 2945420712 3027237954 3112256628 3260102412 3310755708 3351660984 3417443262 3436324164 3531777613 3565429224 3630966066 3758155128 3862548326 3987017139 4011107877 4036317272 4191560244 4540856931 4556591016 4584123288 4841288088 4890153618 4936306934 4966133562 5126164893 5154486246 5316022852 5348143836 5446449099 5637232692 5793822489 6054475908 6224513256 6520204824 6621511416 6834886524 6872648328 7024744483 7063555226 7261932132 7335230427 7404460401 7449200343 7725096652 7974034278 8022215754 8383120488 9081713862 9780307236 9872613868 9932267124 10252329786 10308972492 10595332839 10632045704 10696287672 10892898198 11274465384 11587644978 11961051417 12108951816 13622570793 13669773048 14049488966 14127110452 14523864264 14670460854 14808920802 14898400686 15450193304 15948068556 16044431508 17277074269 17381467467 18163427724 19560614472 19745227736 19864534248 20504659572 20617944984 21074233449 21190665678 21785796396 22213381203 23175289956 23922102834 27245141586 28098977932 28254220904 29340921708 29617841604 29796801372 31785998517 31896137112 32088863016 34554148538 34762934934 35883154251 36326855448 41009319144 42148466898 42381331356 43571592792 44426762406 46350579912 47844205668 49173211381 51831222807 52144402401 54490283172 56197955864 58681843416 59235683208 59593602744 63222700347 63571997034 66640143609 69108297076 69525869868 71766308502 84296933796 84762662712 88853524812 91321678279 95357995551 95688411336 98346422762 103662445614 104288804802 108980566344 126445400694 127143994068 133280287218 138216594152 139051739736 143532617004 147519634143 155493668421 168593867592 177707049624 182643356558 189668101041 190715991102 196692845524 207324891228 208577609604 252890801388 254287988136 266560574436 273965034837 287065234008 295039268286 310987336842 365286713116 379336202082 381431982204 393385691048 414649782456 417155219208 442558902429 466481005263 505781602776 533121148872 547930069674 590078536572 621974673684 639251747953 730573426232 758672404164 762863964408 821895104511 885117804858 932962010526 1095860139348 1180157073144 1243949347368 1278503495906 1327676707287 1517344808328 1643790209022 1770235609716 1865924021052 1917755243859 2191720278696 2465685313533 2557006991812 2655353414574 3287580418044 3540471219432 3731848042104 3835510487718 4931370627066 5114013983624 5310706829148 5753265731577 6575160836088 7671020975436 9862741254132 10621413658296 11506531463154 15342041950872 17259797194731 19725482508264 23013062926308 34519594389462 46026125852616 69039188778924 138078377557848
- Sum of all divisors σ(n): 489126962688000
- Sum of proper divisors (its aliquot sum) s(n): 351048585130152
- 138078377557848 is an abundant number, because the sum of its proper divisors (351048585130152) is greater than itself. Its abundance is 212970207572304
Bases of 138078377557848
- Binary: 111110110010100111000001010010100111111010110002
- Hexadecimal: 0x7D94E0A53F58
- Base-36: 1CY0BWX460
Squares and roots of 138078377557848
- 138078377557848 squared (1380783775578482) is 19065638349007622216586391104
- 138078377557848 cubed (1380783775578483) is 2632552410335660258012595402205843312584192
-
The
square root of 138078377557848 is 11750675.6213354813 -
The
cube root of 138078377557848 is 51686.2739505313
Scales and comparisons
How big is 138078377557848?- 138,078,377,557,848 seconds is equal to 4,390,465 years, 15 weeks, 4 days, 21 hours, 10 minutes, 48 seconds.
-
To count from 1 to 138,078,377,557,848 would take you about ten million, nine hundred seventy-six thousand, one hundred sixty-three 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 138078377557848 cubic inches would be around 4307.2 feet tall.
Recreational maths with 138078377557848
- 138078377557848 backwards is 848755773870831
- The number of decimal digits it has is: 15
- The sum of 138078377557848's digits is 81
- 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 138078377557848 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 138078377557848 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/138078377557848/
Chicago style:
Numbermatics. 2024. "Number 138078377557848 - Facts about the integer". https://numbermatics.com/n/138078377557848/
The information we have on file for 138078377557848 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 138078377557848, math, Factors of 138078377557848, curriculum, school, college, exams, university, Prime factorization of 138078377557848, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seventy-eight billion, three hundred seventy-seven million, five hundred fifty-seven thousand, eight hundred forty-eight.