138623313540096
138,623,313,540,096 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138623313540096 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2376 divisors.
138623313540096 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred seventy-six divisors.
Prime factorization of 138623313540096:
210 × 32 × 72 × 11 × 312 × 71 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 31 × 31 × 71 × 409)See below for interesting mathematical facts about the number 138623313540096 from the Numbermatics database.
Names of 138623313540096
- Cardinal: 138623313540096 can be written as One hundred thirty-eight trillion, six hundred twenty-three billion, three hundred thirteen million, five hundred forty thousand and ninety-six.
Scientific notation
- Scientific notation: 1.38623313540096 × 1014
Factors of 138623313540096
Divisors of 138623313540096
- Number of divisors d(n): 2376
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 31 32 33 36 42 44 48 49 56 62 63 64 66 71 72 77 84 88 93 96 98 99 112 124 126 128 132 142 144 147 154 168 176 186 192 196 198 213 217 224 231 248 252 256 264 279 284 288 294 308 336 341 352 372 384 392 396 409 426 434 441 448 462 496 497 504 512 528 539 558 568 576 588 616 639 651 672 682 693 704 744 768 781 784 792 818 852 868 882 896 924 961 992 994 1008 1023 1024 1056 1078 1116 1136 1152 1176 1227 1232 1278 1302 1344 1364 1386 1408 1488 1491 1519 1536 1562 1568 1584 1617 1636 1704 1736 1764 1792 1848 1922 1953 1984 1988 2016 2046 2112 2156 2201 2232 2272 2304 2343 2352 2387 2454 2464 2556 2604 2688 2728 2772 2816 2863 2883 2976 2982 3038 3069 3072 3124 3136 3168 3234 3272 3408 3472 3479 3528 3584 3681 3696 3844 3906 3968 3976 4032 4092 4224 4312 4402 4464 4473 4499 4544 4557 4608 4686 4704 4774 4851 4908 4928 5112 5208 5376 5456 5467 5544 5632 5726 5766 5952 5964 6076 6138 6248 6272 6336 6468 6544 6603 6727 6816 6944 6958 7029 7056 7161 7168 7362 7392 7688 7812 7936 7952 8064 8184 8448 8589 8624 8649 8804 8928 8946 8998 9088 9114 9216 9372 9408 9548 9702 9816 9856 10224 10416 10437 10571 10752 10912 10934 11088 11264 11452 11532 11904 11928 12152 12276 12496 12544 12672 12679 12936 13088 13206 13454 13497 13632 13671 13888 13916 14058 14112 14322 14724 14784 15376 15407 15624 15872 15904 16128 16368 16401 16709 16896 17178 17248 17298 17608 17856 17892 17996 18176 18228 18744 18816 19096 19404 19632 19712 19809 20041 20181 20448 20832 20874 21142 21483 21504 21824 21868 22176 22904 23064 23808 23856 24211 24304 24552 24992 25088 25344 25358 25767 25872 26176 26412 26908 26994 27264 27342 27776 27832 28116 28224 28644 29039 29448 29568 30752 30814 31248 31311 31493 31713 31744 31808 32256 32736 32802 33418 33792 34356 34496 34596 35216 35712 35784 35992 36352 36456 37488 37632 38037 38192 38269 38808 39264 39424 39618 40082 40362 40491 40896 41664 41748 42284 42966 43648 43736 44352 45808 46128 46221 47089 47616 47712 48422 48608 49104 49203 49984 50127 50176 50688 50716 51534 51744 52352 52824 53816 53988 54528 54684 55552 55664 56232 56448 57288 58078 58896 59136 60123 60543 61504 61628 62496 62622 62986 63426 63616 64512 65472 65604 66836 68231 68712 68992 69192 70432 71424 71568 71984 72633 72704 72912 73997 74976 75264 76074 76384 76538 77616 78528 78848 79236 80164 80724 80982 81792 83328 83496 84568 85932 87117 87296 87472 88704 88753 91616 92256 92442 94178 94479 95139 95232 95424 96844 97216 98208 98406 99968 100254 101376 101432 103068 103488 104704 105648 107632 107849 107976 109056 109368 111104 111328 112464 112896 114111 114576 114807 116156 117792 118272 120246 121086 123008 123256 124992 125244 125972 126852 127232 130944 131208 133672 136462 137424 137984 138384 138663 139469 140864 141267 142848 143136 143968 145266 145824 147994 149952 150381 150528 152148 152768 153076 155232 157056 158472 160328 161448 161964 163584 166656 166992 169136 169477 171864 174234 174592 174944 177408 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12306757239 12502102592 12678188544 12703749408 12892793298 13113547776 13281911808 13308689856 13558618304 14064865416 14122179456 14288117248 14518570752 14734620912 14791219968 15041592181 15209931264 15253445592 15406013952 15495563776 15526804832 15745492224 16027669504 16074131904 16139633664 16409009652 16938332544 17190391064 17432509248 17467655436 17744919808 18031128192 18753153888 18829572608 19339189947 19358094336 19646161216 19721626624 19922867712 19963034784 20337927456 20607003648 20993989632 21183269184 21432175872 21878679536 22101931368 22186829952 22584443392 22814896896 23243345664 23290207248 24041504256 24209450496 24613514478 25004205184 25356377088 25407498816 25785586596 26617379712 27117236608 28129730832 28244358912 28576234496 29037141504 29469241824 29582439936 30083184362 30419862528 30506891184 30812027904 30991127552 31053609664 31490984448 32148263808 32818019304 33876665088 34380782128 34865018496 34935310872 35489839616 36062256384 37506307776 37659145216 38678379894 39292322432 39845735424 39926069568 40675854912 42366538368 42864351744 43757359072 44203862736 44373659904 45124776543 45168886784 45629793792 46486691328 46580414496 48083008512 48418900992 49227028956 50008410368 50814997632 51571173192 53234759424 54234473216 56259461664 56488717824 58074283008 58938483648 59164879872 60166368724 61013782368 62107219328 62981968896 64296527616 65636038608 67753330176 68761564256 69730036992 69870621744 70979679232 72124512768 75012615552 77356759788 78584644864 79852139136 81351709824 84733076736 85728703488 87514718144 88407725472 88747319808 90249553086 91259587584 92973382656 93160828992 98454057912 100016820736 101629995264 103142346384 106469518848 108468946432 112518923328 112977435648 117876967296 120332737448 122027564736 124214438656 128593055232 131272077216 135374329629 135506660352 137523128512 139460073984 139741243488 144249025536 150025231104 154713519576 157169289728 159704278272 162703419648 169466153472 175029436288 176815450944 177494639616 180499106172 186321657984 196908115824 200033641472 203259990528 206284692768 212939037696 216937892864 225037846656 235753934592 240665474896 244055129472 248428877312 257186110464 262544154432 270748659258 275046257024 278920147968 279482486976 300050462208 309427039152 314338579456 319408556544 325406839296 338932306944 350058872576 353630901888 360998212344 372643315968 393816231648 406519981056 412569385536 450075693312 471507869184 481330949792 488110258944 496857754624 525088308864 541497318516 550092514048 558964973952 600100924416 618854078304 638817113088 650813678592 700117745152 707261803776 721996424688 745286631936 787632463296 825138771072 900151386624 943015738368 962661899584 976220517888 1050176617728 1082994637032 1100185028096 1117929947904 1237708156608 1400235490304 1414523607552 1443992849376 1490573263872 1575264926592 1650277542144 1800302773248 1925323799168 1952441035776 2100353235456 2165989274064 2200370056192 2235859895808 2475416313216 2829047215104 2887985698752 3150529853184 3300555084288 3850647598336 4200706470912 4331978548128 4471719791616 4950832626432 5775971397504 6301059706368 6601110168576 7701295196672 8663957096256 9901665252864 11551942795008 12602119412736 15402590393344 17327914192512 19803330505728 23103885590016 34655828385024 46207771180032 69311656770048 138623313540096
- Sum of all divisors σ(n): 533559550904640
- Sum of proper divisors (its aliquot sum) s(n): 394936237364544
- 138623313540096 is an abundant number, because the sum of its proper divisors (394936237364544) is greater than itself. Its abundance is 256312923824448
Bases of 138623313540096
- Binary: 111111000010011110000010101110001110100000000002
- Hexadecimal: 0x7E13C15C7400
- Base-36: 1D4YO5QF40
Squares and roots of 138623313540096
- 138623313540096 squared (1386233135400962) is 19216423056835763007799689216
- 138623313540096 cubed (1386233135400963) is 2663844238526873992328806016952873554804736
-
The
square root of 138623313540096 is 11773840.2205948081 -
The
cube root of 138623313540096 is 51754.1791971465
Scales and comparisons
How big is 138623313540096?- 138,623,313,540,096 seconds is equal to 4,407,792 years, 30 weeks, 1 day, 7 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,623,313,540,096 would take you about eleven million, nineteen thousand, four hundred eighty-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 138623313540096 cubic inches would be around 4312.8 feet tall.
Recreational maths with 138623313540096
- 138623313540096 backwards is 690045313326831
- The number of decimal digits it has is: 15
- The sum of 138623313540096's digits is 54
- More coming soon!
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The information we have on file for 138623313540096 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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