138014460315037696
138,014,460,315,037,696 is an even composite number composed of four prime numbers multiplied together.
What does the number 138014460315037696 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 780 divisors.
138014460315037696 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred eighty divisors.
Prime factorization of 138014460315037696:
212 × 134 × 313 × 1992
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 13 × 13 × 31 × 31 × 31 × 199 × 199)See below for interesting mathematical facts about the number 138014460315037696 from the Numbermatics database.
Names of 138014460315037696
- Cardinal: 138014460315037696 can be written as One hundred thirty-eight quadrillion, fourteen trillion, four hundred sixty billion, three hundred fifteen million, thirty-seven thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 1.38014460315037696 × 1017
Factors of 138014460315037696
Divisors of 138014460315037696
- Number of divisors d(n): 780
-
Complete list of divisors:
1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 169 199 208 248 256 338 398 403 416 496 512 676 796 806 832 961 992 1024 1352 1592 1612 1664 1922 1984 2048 2197 2587 2704 3184 3224 3328 3844 3968 4096 4394 5174 5239 5408 6169 6368 6448 6656 7688 7936 8788 10348 10478 10816 12338 12493 12736 12896 13312 15376 15872 17576 20696 20956 21632 24676 24986 25472 25792 26624 28561 29791 30752 31744 33631 35152 39601 41392 41912 43264 49352 49972 50944 51584 53248 57122 59582 61504 63488 67262 68107 70304 79202 80197 82784 83824 86528 98704 99944 101888 103168 114244 119164 123008 126976 134524 136214 140608 158404 160394 162409 165568 167648 173056 191239 197408 199888 203776 206336 228488 238328 246016 269048 272428 281216 316808 320788 324818 331136 335296 346112 382478 387283 394816 399776 407552 412672 437203 456976 476656 492032 514813 538096 544856 562432 633616 641576 649636 662272 670592 692224 764956 774566 789632 799552 815104 825344 874406 885391 913952 953312 984064 1029626 1042561 1076192 1089712 1124864 1227631 1267232 1283152 1299272 1324544 1341184 1529912 1549132 1579264 1599104 1650688 1748812 1770782 1827904 1906624 1968128 2059252 2085122 2111317 2152384 2179424 2249728 2455262 2486107 2534464 2566304 2598544 2649088 2682368 3059824 3098264 3158528 3198208 3497624 3541564 3655808 3813248 3936256 4118504 4170244 4222634 4304768 4358848 4499456 4910524 4972214 5034679 5068928 5132608 5197088 5298176 5364736 5683639 5928409 6119648 6196528 6317056 6396416 6692569 6995248 7083128 7311616 7626496 8237008 8340488 8445268 8609536 8717696 8998912 9821048 9944428 10069358 10137856 10265216 10394176 10596352 10729472 11367278 11856818 12239296 12393056 12634112 12792832 13385138 13553293 13990496 14166256 14623232 15252992 15959203 16474016 16680976 16890536 17219072 17435392 19642096 19888856 20138716 20275712 20530432 20788352 21458944 22734556 23713636 24478592 24786112 25268224 25585664 26770276 27106586 27447121 27980992 28332512 29246464 30505984 31918406 32319391 32948032 33361952 33781072 34438144 34870784 38056561 39284192 39777712 40277432 40551424 41060864 41576704 45469112 47427272 48957184 49572224 51171328 53540552 54213172 54894242 55961984 56665024 58492928 61011968 63836812 64638782 65450827 65896064 66723904 67562144 68876288 69741568 76113122 77069317 78568384 79555424 80554864 81102848 82121728 83153408 87003397 90938224 94854544 97914368 99144448 107081104 108426344 109788484 111923968 113330048 116985856 122023936 127673624 129277564 130901654 131792128 133447808 135124288 137752576 139483136 152226244 154138634 157136768 159110848 161109728 162205696 164243456 166306816 174006794 176192809 181876448 189709088 195828736 198288896 207469639 214162208 216852688 219576968 223847936 226660096 255347248 258555128 261803308 263584256 266895616 270248576 278966272 304452488 308277268 314273536 318221696 322219456 328486912 332613632 348013588 352385618 363752896 379418176 391657472 396577792 414939278 420152083 428324416 433705376 439153936 447695872 453320192 494735293 510694496 517110256 523606616 527168512 533791232 540497152 608904976 616554536 628547072 636443392 644438912 665227264 696027176 704771236 727505792 758836352 783314944 793155584 829878556 840304166 850860751 856648832 867410752 878307872 895391744 906640384 989470586 1001901121 1021388992 1034220512 1047213232 1054337024 1067582464 1080994304 1131044161 1179753391 1217809952 1233109072 1257094144 1272886784 1288877824 1392054352 1409542472 1455011584 1517672704 1586311168 1659757112 1680608332 1701721502 1713297664 1734821504 1756615744 1790783488 1813280768 1978941172 2003802242 2042777984 2068441024 2094426464 2108674048 2135164928 2161988608 2262088322 2359506782 2435619904 2466218144 2514188288 2545773568 2577755648 2697105307 2784108704 2819084944 2910023168 3035345408 3319514224 3361216664 3403443004 3426595328 3469643008 3513231488 3626561536 3957882344 4007604484 4085555968 4136882048 4188852928 4270329856 4323977216 4524176644 4719013564 4871239808 4932436288 5028376576 5091547136 5155511296 5394210614 5461977079 5568217408 5638169888 5820046336 6070690816 6431558809 6639028448 6722433328 6806886008 6853190656 6939286016 7026462976 7915764688 8015208968 8171111936 8273764096 8377705856 8647954432 9048353288 9438027128 9742479616 9864872576 10183094272 10311022592 10788421228 10923954158 11136434816 11276339776 11640092672 12141381632 12863117618 13024714573 13278056896 13444866656 13613772016 13706381312 13878572032 14052925952 15336794083 15831529376 16030417936 16342223872 16547528192 16755411712 18096706576 18876054256 19484959232 19729745152 20622045184 21576842456 21847908316 22272869632 22552679552 23280185344 24282763264 25726235236 26049429146 26556113792 26889733312 27227544032 27412762624 27757144064 28105851904 30673588166 31663058752 32060835872 32684447744 33095056384 33510823424 35062368991 36193413152 37752108512 38969918464 39459490304 43153684912 43695816632 44545739264 45105359104 51452470472 52098858292 53112227584 53779466624 54455088064 55514288128 56211703808 61347176332 63326117504 64121671744 65368895488 66190112768 67021646848 70124737982 72386826304 75504217024 77939836928 78918980608 83610264517 86307369824 87391633264 89091478528 90210718208 102904940944 104197716584 106224455168 107558933248 108910176128 112423407616 122694352664 126652235008 128243343488 132380225536 134043293696 140249475964 144773652608 151008434048 155879673856 157837961216 167220529034 169321289449 172614739648 174783266528 178182957056 180421436416 199378323079 205809881888 208395433168 212448910336 215117866496 217820352256 245388705328 253304470016 256486686976 268086587392 280498951928 289547305216 302016868096 315675922432 334441058068 338642578898 345229479296 349566533056 356365914112 360842872832 398756646158 411619763776 416790866336 424897820672 430235732992 435640704512 490777410656 506608940032 512973373952 560997903856 579094610432 604033736192 668882116136 677285157796 690458958592 699133066112 721685745664 797513292316 823239527552 833581732672 849795641344 860471465984 871281409024 981554821312 1013217880064 1025946747904 1086933438721 1121995807712 1158189220864 1208067472384 1337764232272 1354570315592 1380917917184 1398266132224 1595026584632 1646479055104 1667163465344 1720942931968 1742562818048 1963109642624 2026435760128 2051893495808 2173866877442 2243991615424 2316378441728 2416134944768 2591918200027 2675528464544 2709140631184 2761835834368 2796532264448 3190053169264 3292958110208 3334326930688 3485125636096 3926219285248 4103786991616 4347733754884 4487983230848 4632756883456 4832269889536 5183836400054 5351056929088 5418281262368 5523671668736 5593064528896 6380106338528 6585916220416 6668653861376 7852438570496 8695467509768 8975966461696 10367672800108 10702113858176 10836562524736 11047343337472 11186129057792 12760212677056 13171832440832 13337307722752 15704877140992 17390935019536 17951932923392 20735345600216 21404227716352 21673125049472 22372258115584 25520425354112 26343664881664 26674615445504 31409754281984 33694936600351 34781870039072 35903865846784 41470691200432 42808455432704 43346250098944 51040850708224 53349230891008 62819508563968 67389873200702 69563740078144 71807731693568 82941382400864 85616910865408 86692500197888 102081701416448 134779746401404 139127480156288 143615463387136 165882764801728 171233821730816 173385000395776 204163402832896 269559492802808 278254960312576 331765529603456 342467643461632 346770000791552 408326805665792 539118985605616 556509920625152 663531059206912 693540001583104 816653611331584 1078237971211232 1113019841250304 1327062118413824 2156475942422464 2226039682500608 2654124236827648 4312951884844928 4452079365001216 5308248473655296 8625903769689856 10616496947310592 17251807539379712 34503615078759424 69007230157518848 138014460315037696
- Sum of all divisors σ(n): 310520520849050304
- Sum of proper divisors (its aliquot sum) s(n): 172506060534012608
- 138014460315037696 is an abundant number, because the sum of its proper divisors (172506060534012608) is greater than itself. Its abundance is 34491600218974912
Bases of 138014460315037696
- Binary: 1111010100101001101101011101000001111000111110000000000002
- Hexadecimal: 0x1EA536BA0F1F000
- Base-36: 11QY1JS3T1J4
Squares and roots of 138014460315037696
- 138014460315037696 squared (1380144603150376962) is 19047991256051115085417069900988416
- 138014460315037696 cubed (1380144603150376963) is 2628898233289451659646180131907806601173698699329536
-
The
square root of 138014460315037696 is 371502974.8400915509 -
The
cube root of 138014460315037696 is 516782.9743248403
Scales and comparisons
How big is 138014460315037696?- 138,014,460,315,037,696 seconds is equal to 4,388,432,931 years, 13 weeks, 4 days, 14 hours, 28 minutes, 16 seconds.
-
To count from 1 to 138,014,460,315,037,696 would take you about thirteen billion, one hundred sixty-five million, two hundred ninety-eight thousand, seven hundred ninety-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 138014460315037696 cubic inches would be around 43065.2 feet tall.
Recreational maths with 138014460315037696
- 138014460315037696 backwards is 696730513064410831
- The number of decimal digits it has is: 18
- The sum of 138014460315037696's digits is 67
- More coming soon!
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The information we have on file for 138014460315037696 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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