138168567901128096
138,168,567,901,128,096 is an even composite number composed of four prime numbers multiplied together.
What does the number 138168567901128096 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 960 divisors.
138168567901128096 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138168567901128096:
25 × 39 × 373 × 1633
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 37 × 37 × 37 × 163 × 163 × 163)See below for interesting mathematical facts about the number 138168567901128096 from the Numbermatics database.
Names of 138168567901128096
- Cardinal: 138168567901128096 can be written as One hundred thirty-eight quadrillion, one hundred sixty-eight trillion, five hundred sixty-seven billion, nine hundred one million, one hundred twenty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 1.38168567901128096 × 1017
Factors of 138168567901128096
Divisors of 138168567901128096
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 163 216 222 243 288 296 324 326 333 432 444 486 489 592 648 652 666 729 864 888 972 978 999 1184 1296 1304 1332 1369 1458 1467 1776 1944 1956 1998 2187 2592 2608 2664 2738 2916 2934 2997 3552 3888 3912 3996 4107 4374 4401 5216 5328 5476 5832 5868 5994 6031 6561 7776 7824 7992 8214 8748 8802 8991 10656 10952 11664 11736 11988 12062 12321 13122 13203 15648 15984 16428 17496 17604 17982 18093 19683 21904 23328 23472 23976 24124 24642 26244 26406 26569 26973 31968 32856 34992 35208 35964 36186 36963 39366 39609 43808 46944 47952 48248 49284 50653 52488 52812 53138 53946 54279 65712 69984 70416 71928 72372 73926 78732 79218 79707 80919 95904 96496 98568 101306 104976 105624 106276 107892 108558 110889 118827 131424 140832 143856 144744 147852 151959 157464 158436 159414 161838 162837 192992 197136 202612 209952 211248 212552 215784 217116 221778 223147 237654 239121 242757 287712 289488 295704 303918 314928 316872 318828 323676 325674 332667 356481 394272 405224 422496 425104 431568 434232 443556 446294 455877 475308 478242 485514 488511 578976 591408 607836 629856 633744 637656 647352 651348 665334 669441 712962 717363 728271 810448 850208 863136 868464 887112 892588 911754 950616 956484 971028 977022 983053 998001 1069443 1182816 1215672 1267488 1275312 1294704 1302696 1330668 1338882 1367631 1425924 1434726 1456542 1465533 1620896 1736928 1774224 1785176 1823508 1901232 1912968 1942056 1954044 1966106 1996002 2008323 2138886 2152089 2431344 2550624 2589408 2605392 2661336 2677764 2735262 2851848 2869452 2913084 2931066 2949159 2994003 3208329 3548448 3570352 3647016 3802464 3825936 3884112 3908088 3932212 3992004 4016646 4102893 4277772 4304178 4330747 4396599 4862688 5210784 5322672 5355528 5470524 5703696 5738904 5826168 5862132 5898318 5988006 6024969 6416658 6456267 7140704 7294032 7651872 7768224 7816176 7864424 7984008 8033292 8205786 8256439 8555544 8608356 8661494 8793198 8847477 8982009 10645344 10711056 10941048 11407392 11477808 11652336 11724264 11796636 11976012 12049938 12308679 12833316 12912534 12992241 13189797 14588064 15632352 15728848 15968016 16066584 16411572 16512878 17111088 17216712 17322988 17586396 17694954 17964018 18074907 19368801 21422112 21882096 22955616 23304672 23448528 23593272 23952024 24099876 24617358 24769317 25666632 25825068 25984482 26379594 26542431 26946027 31457696 31936032 32133168 32823144 33025756 34222176 34433424 34645976 35172792 35389908 35928036 36149814 36372961 36926037 38737602 38976723 39569391 43764192 46897056 47186544 47904048 48199752 49234716 49538634 51333264 51650136 51968964 52759188 53084862 53892054 54224721 58106403 64266336 65646288 66051512 68866848 69291952 70345584 70779816 71856072 72299628 72745922 73852074 74307951 77475204 77953446 79138782 79627293 94373088 95808096 96399504 98469432 99077268 102666528 103300272 103937928 105518376 106169724 107784108 108449442 109118883 110778111 116212806 116930169 118708173 131292576 132103024 138583904 140691168 141559632 143712144 144599256 145491844 147704148 148615902 154950408 155906892 158277564 159254586 160237639 162674163 174319209 192799008 196938864 198154536 206600544 207875856 211036752 212339448 215568216 216898884 218237766 221556222 222923853 232425612 233860338 237416346 238881879 264206048 283119264 287424288 289198512 290983688 295408296 297231804 309900816 311813784 316555128 318509172 320475278 325348326 327356649 332334333 348638418 350790507 393877728 396309072 415751712 422073504 424678896 431136432 433797768 436475532 443112444 445847706 464851224 467720676 474832692 477763758 480712917 488022489 522957627 578397024 581967376 590816592 594463608 619801632 623627568 633110256 637018344 640950556 650696652 654713298 664668666 668771559 697276836 701581014 716645637 792618144 849357792 862272864 867595536 872951064 886224888 891695412 929702448 935441352 949665384 955527516 961425834 976044978 982069947 997002999 1045915254 1052371521 1163934752 1181633184 1188927216 1247255136 1266220512 1274036688 1281901112 1301393304 1309426596 1329337332 1337543118 1345799557 1394553672 1403162028 1433291274 1442138751 1464067467 1735191072 1745902128 1772449776 1783390824 1859404896 1870882704 1899330768 1911055032 1922851668 1952089956 1964139894 1994005998 2006314677 2091830508 2104743042 2149936911 2377854432 2548073376 2563802224 2602786608 2618853192 2658674664 2675086236 2691599114 2789107344 2806324056 2866582548 2884277502 2928134934 2946209841 3157114563 3491804256 3544899552 3566781648 3741765408 3798661536 3822110064 3845703336 3904179912 3928279788 3988011996 4012629354 4037398671 4183661016 4209486084 4299873822 4326416253 4392202401 5127604448 5205573216 5237706384 5317349328 5350172472 5383198228 5578214688 5612648112 5733165096 5768555004 5856269868 5892419682 5928792643 6018944031 6314229126 6449810733 7133563296 7644220128 7691406672 7808359824 7856559576 7976023992 8025258708 8074797342 8367322032 8418972168 8599747644 8652832506 8784404802 8838629523 9471343689 10475412768 10634698656 10700344944 10766396456 11225296224 11466330192 11537110008 11712539736 11784839364 11857585286 12037888062 12112196013 12628458252 12899621466 12979248759 15382813344 15616719648 15713119152 15952047984 16050517416 16149594684 16734644064 16837944336 17199495288 17305665012 17568809604 17677259046 17786377929 18056832093 18942687378 19349432199 21400689888 21532792912 22932660384 23074220016 23425079472 23569678728 23715170572 24075776124 24224392026 25256916504 25799242932 25958497518 26515888569 28414031067 31426238304 31904095968 32101034832 32299189368 33675888672 34398990576 34611330024 35137619208 35354518092 35572755858 36113664186 36336588039 37885374756 38698864398 38937746277 43065585824 46148440032 46850158944 47139357456 47430341144 48151552248 48448784052 50513833008 51598485864 51916995036 53031777138 53359133787 54170496279 56828062134 64202069664 64598378736 68797981152 69222660048 70275238416 70709036184 71145511716 72227328372 72673176078 75770749512 77397728796 77875492554 79547665707 85242093201 94278714912 94860682288 96303104496 96897568104 101027666016 103196971728 103833990072 106063554276 106718267574 108340992558 109009764117 113656124268 116813238831 129196757472 138445320096 140550476832 141418072368 142291023432 144454656744 145346352156 151541499024 154795457592 155750985108 159095331414 160077401361 162511488837 170484186402 189721364576 192606208992 193795136208 206393943456 207667980144 212127108552 213436535148 216681985116 218019528234 219365327791 227312248536 233626477662 238642997121 282836144736 284582046864 288909313488 290692704312 303082998048 309590915184 311501970216 318190662828 320154802722 325022977674 327029292351 340968372804 350439716493 387590272416 415335960288 424254217104 426873070296 433363970232 436039056468 438730655582 454624497072 467252955324 477285994242 480232204083 569164093728 577818626976 581385408624 619181830368 623003940432 636381325656 640309605444 650045955348 654058584702 658095983373 681936745608 700879432986 715928991363 848508434208 853746140592 866727940464 872078112936 877461311164 909248994144 934505910648 954571988484 960464408166 981087877053 1051319149479 1162770817248 1246007880864 1272762651312 1280619210888 1300091910696 1308117169404 1316191966746 1363873491216 1401758865972 1431857982726 1440696612249 1707492281184 1733455880928 1744156225872 1754922622328 1869011821296 1909143976968 1920928816332 1962175754106 1974287950119 2102638298958 2545525302624 2561238421776 2600183821392 2616234338808 2632383933492 2727746982432 2803517731944 2863715965452 2881393224498 2943263631159 3153957448437 3488312451744 3509845244656 3738023642592 3818287953936 3841857632664 3924351508212 3948575900238 4205276597916 4322089836747 5122476843552 5200367642784 5232468677616 5264767866984 5607035463888 5727431930904 5762786448996 5886527262318 5922863850357 6307914896874 7019690489312 7636575907872 7683715265328 7848703016424 7897151800476 8410553195832 8644179673494 8829790893477 10464937355232 10529535733968 11214070927776 11454863861808 11525572897992 11773054524636 11845727700714 12615829793748 12966269510241 15367430530656 15697406032848 15794303600952 16821106391664 17288359346988 17659581786954 17768591551071 21059071467936 22909727723616 23051145795984 23546109049272 23691455401428 25231659587496 25932539020482 26489372680431 31394812065696 31588607201904 33642212783328 34576718693976 35319163573908 35537183102142 38898808530723 46102291591968 47092218098544 47382910802856 50463319174992 51865078040964 52978745360862 53305774653213 63177214403808 69153437387952 70638327147816 71074366204284 77797617061446 94184436197088 94765821605712 100926638349984 103730156081928 105957490721724 106611549306426 116696425592169 138306874775904 141276654295632 142148732408568 155595234122892 159917323959639 189531643211424 207460312163856 211914981443448 213223098612852 233392851184338 282553308591264 284297464817136 311190468245784 319834647919278 414920624327712 423829962886896 426446197225704 466785702368676 479751971878917 568594929634272 622380936491568 639669295838556 847659925773792 852892394451408 933571404737352 959503943757834 1244761872983136 1279338591677112 1439255915636751 1705784788902816 1867142809474704 1919007887515668 2558677183354224 2878511831273502 3734285618949408 3838015775031336 4317767746910253 5117354366708448 5757023662547004 7676031550062672 8635535493820506 11514047325094008 15352063100125344 17271070987641012 23028094650188016 34542141975282024 46056189300376032 69084283950564048 138168567901128096
- Sum of all divisors σ(n): 421944482572905600
- Sum of proper divisors (its aliquot sum) s(n): 283775914671777504
- 138168567901128096 is an abundant number, because the sum of its proper divisors (283775914671777504) is greater than itself. Its abundance is 145607346770649408
Bases of 138168567901128096
- Binary: 1111010101101111110010100100110001101111100000101101000002
- Hexadecimal: 0x1EADF9498DF05A0
- Base-36: 11SGO3TTMI00
Squares and roots of 138168567901128096
- 138168567901128096 squared (1381685679011280962) is 19090553155848645227548709400585216
- 138168567901128096 cubed (1381685679011280963) is 2637714389983968796898475038658743505512128979828736
-
The
square root of 138168567901128096 is 371710327.9451999513 -
The
cube root of 138168567901128096 is 516975.2501986913
Scales and comparisons
How big is 138168567901128096?- 138,168,567,901,128,096 seconds is equal to 4,393,333,075 years, 42 weeks, 2 days, 9 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,168,567,901,128,096 would take you about thirteen billion, one hundred seventy-nine million, nine hundred ninety-nine thousand, two hundred twenty-seven 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 138168567901128096 cubic inches would be around 43081.3 feet tall.
Recreational maths with 138168567901128096
- 138168567901128096 backwards is 690821109765861831
- 138168567901128096 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138168567901128096's digits is 81
- More coming soon!
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The information we have on file for 138168567901128096 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 138168567901128096, math, Factors of 138168567901128096, curriculum, school, college, exams, university, Prime factorization of 138168567901128096, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred sixty-eight trillion, five hundred sixty-seven billion, nine hundred one million, one hundred twenty-eight thousand and ninety-six.