138748135206265728
138,748,135,206,265,728 is an even composite number composed of six prime numbers multiplied together.
What does the number 138748135206265728 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
138748135206265728 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 138748135206265728:
27 × 3 × 112 × 134 × 37 × 414
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 13 × 13 × 13 × 37 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 138748135206265728 from the Numbermatics database.
Names of 138748135206265728
- Cardinal: 138748135206265728 can be written as One hundred thirty-eight quadrillion, seven hundred forty-eight trillion, one hundred thirty-five billion, two hundred six million, two hundred sixty-five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38748135206265728 × 1017
Factors of 138748135206265728
Divisors of 138748135206265728
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 37 39 41 44 48 52 64 66 74 78 82 88 96 104 111 121 123 128 132 143 148 156 164 169 176 192 208 222 242 246 264 286 296 312 328 338 352 363 384 407 416 429 444 451 481 484 492 507 528 533 572 592 624 656 676 704 726 814 832 858 888 902 962 968 984 1014 1056 1066 1144 1184 1221 1248 1312 1352 1353 1408 1443 1452 1517 1573 1599 1628 1664 1681 1716 1776 1804 1859 1924 1936 1968 2028 2112 2132 2197 2288 2368 2442 2496 2624 2704 2706 2886 2904 3034 3146 3198 3256 3362 3432 3552 3608 3718 3848 3872 3936 4056 4224 4264 4394 4477 4551 4576 4719 4736 4884 4961 4992 5043 5248 5291 5408 5412 5577 5772 5808 5863 6068 6253 6292 6396 6512 6591 6724 6864 6929 7104 7216 7436 7696 7744 7872 8112 8528 8788 8954 9102 9152 9438 9768 9922 10086 10582 10816 10824 11154 11544 11616 11726 12136 12506 12584 12792 13024 13182 13431 13448 13728 13858 14208 14432 14872 14883 15392 15488 15744 15873 16224 16687 17056 17576 17589 17908 18204 18304 18491 18759 18876 19536 19721 19844 20172 20449 20787 21164 21632 21648 21853 22308 23088 23232 23452 24167 24272 25012 25168 25584 26048 26364 26862 26896 27456 27716 28561 28864 29744 29766 30784 31746 32448 33374 34112 35152 35178 35816 36408 36982 37518 37752 39072 39442 39688 40344 40898 41574 42328 43296 43706 44616 46176 46464 46904 48334 48544 50024 50061 50336 51168 52096 52728 53724 53792 54912 55432 55473 57122 57728 58201 59163 59488 59532 61347 61568 62197 63492 64493 64896 65559 66748 68224 68783 68921 70304 70356 71632 72501 72816 73964 75036 75504 76219 78144 78884 79376 80688 81289 81796 83148 84656 85683 86592 87412 89232 90077 92352 93808 96668 97088 100048 100122 100672 102336 105456 107448 107584 110864 110946 114244 116402 118326 118976 119064 122694 124394 126984 128986 131118 133496 137566 137842 140608 140712 143264 145002 145632 147928 150072 151008 152438 156288 157768 158752 161376 162578 163592 166296 169312 171366 173184 174603 174824 178464 180154 183557 184704 186591 187616 193336 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2526736145219 2579345166684 2582609917472 2631393855376 2663316477393 2711619277796 2756439431148 2771581374848 2773631361072 2858193292812 2870611478592 2958130121232 2986142717077 3004767307828 3109829101808 3174578666688 3204640964668 3277927972176 3337377572672 3392540838336 3439126888912 3495971961456 3517776360384 3551088636524 3675252574864 3698175148096 3751774787904 3810924390416 3873914876208 3944173494976 3947090783064 4067428916694 4157372062272 4276015014986 4370570629568 4507150961742 4661295948608 4664743652712 4806961447002 4857957886848 5006066359008 5053472290438 5158690333368 5165219834944 5262787710752 5326632954786 5423238555592 5512878862296 5547262722144 5716386585624 5741222957184 5916260242464 5972285434154 6009534615656 6219658203616 6349157333376 6409281929336 6414022522479 6555855944352 6674755145344 6785081676672 6878253777824 6991943922912 7035552720768 7102177273048 7350505149728 7396350296192 7503549575808 7580208435657 7621848780832 7747829752416 7888346989952 7894181566128 8134857833388 8314744124544 8552030029972 8741141259136 8812762652837 8958428151231 9014301923484 9322591897216 9329487305424 9613922894004 9765493750441 10012132718016 10106944580876 10317380666736 10330439669888 10525575421504 10653265909572 10846477111184 11025757724592 11094525444288 11432773171248 11832520484928 11944570868308 12019069231312 12439316407232 12818563858672 12828045044958 13111711888704 13756507555648 13983887845824 14204354546096 14701010299456 15160416871314 15243697561664 15495659504832 15788363132256 16269715666776 17104060059944 17625525305674 17916856302462 18028603846968 18658974610848 19227845788008 19530987500882 20024265436032 20213889161752 20634761333472 21051150843008 21306531819144 21692954222368 22051515449184 22189050888576 22865546342496 23665040969856 23889141736616 24038138462624 24878632814464 25637127717344 25656090089916 26223423777408 26438287958511 27513015111296 27794097597409 27967775691648 28408709092192 29296481251323 29402020598912 30320833742628 30487395123328 30991319009664 31576726264512 32539431333552 32847569887847 34208120119888 35251050611348 35833712604924 36057207693936 37317949221696 38455691576016 39061975001764 40427778323504 41269522666944 42613063638288 43385908444736 44103030898368 45731092684992 47778283473232 48076276925248 51274255434688 51312180179832 52876575917022 55588195194818 56817418184384 58592962502646 60641667485256 63153452529024 65078862667104 65695139775694 68416240239776 70502101222696 71667425209848 72114415387872 74635898443392 76911383152032 78123950003528 80855556647008 82539045333888 83382292792227 85226127276576 86771816889472 88206061796736 91462185369984 95556566946464 96152553850496 98542709663541 102548510869376 102624360359664 105753151834044 111176390389636 113634836368768 117185925005292 121283334970512 130157725334208 131390279551388 136832480479552 141004202445392 143334850419696 144228830775744 153822766304064 156247900007056 161711113294016 166764585584454 170452254553152 191113133892928 197085419327082 205248720719328 211506303668088 222352780779272 234371850010584 242566669941024 260315450668416 262780559102776 273664960959104 282008404890784 286669700839392 288457661551488 307645532608128 312495800014112 323422226588032 333529171168908 340904509106304 361323268766317 382226267785856 394170838654164 410497441438656 423012607336176 444705561558544 468743700021168 485133339882048 525561118205552 564016809781568 573339401678784 624991600028224 667058342337816 722646537532634 788341677308328 820994882877312 846025214672352 889411123117088 937487400042336 970266679764096 1051122236411104 1083969806298951 1128033619563136 1146678803357568 1249983200056448 1334116684675632 1445293075065268 1576683354616656 1692050429344704 1778822246234176 1874974800084672 2102244472822208 2167939612597902 2668233369351264 2890586150130536 3153366709233312 3384100858689408 3557644492468352 3749949600169344 4204488945644416 4335879225195804 5336466738702528 5781172300261072 6306733418466624 8671758450391608 10672933477405056 11562344600522144 12613466836933248 17343516900783216 23124689201044288 34687033801566432 46249378402088576 69374067603132864 138748135206265728
- Sum of all divisors σ(n): 461986243339643400
- Sum of proper divisors (its aliquot sum) s(n): 323238108133377672
- 138748135206265728 is an abundant number, because the sum of its proper divisors (323238108133377672) is greater than itself. Its abundance is 184489972927111944
Bases of 138748135206265728
- Binary: 1111011001110111010110001101000000011011110100011100000002
- Hexadecimal: 0x1ECEEB1A037A380
- Base-36: 11Y63XDF4AYO
Squares and roots of 138748135206265728
- 138748135206265728 squared (1387481352062657282) is 19251045023216195191380110547369984
- 138748135206265728 cubed (1387481352062657283) is 2671046597743109601074423817081532261753588235108352
-
The
square root of 138748135206265728 is 372489107.5001599667 -
The
cube root of 138748135206265728 is 517697.0834282813
Scales and comparisons
How big is 138748135206265728?- 138,748,135,206,265,728 seconds is equal to 4,411,761,523 years, 20 weeks, 4 days, 23 hours, 8 minutes, 48 seconds.
-
To count from 1 to 138,748,135,206,265,728 would take you about thirteen billion, two hundred thirty-five million, two hundred eighty-four thousand, five hundred seventy 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 138748135206265728 cubic inches would be around 43141.4 feet tall.
Recreational maths with 138748135206265728
- 138748135206265728 backwards is 827562602531847831
- 138748135206265728 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138748135206265728's digits is 78
- More coming soon!
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"Number 138748135206265728 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138748135206265728 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138748135206265728/
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Numbermatics. 2024. "Number 138748135206265728 - Facts about the integer". https://numbermatics.com/n/138748135206265728/
The information we have on file for 138748135206265728 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!
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