137985504549587121378
137,985,504,549,587,121,378 is an even composite number composed of six prime numbers multiplied together.
What does the number 137985504549587121378 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
137985504549587121378 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137985504549587121378:
2 × 3 × 73 × 893 × 1093 × 2712
(2 × 3 × 7 × 7 × 7 × 89 × 89 × 89 × 109 × 109 × 109 × 271 × 271)See below for interesting mathematical facts about the number 137985504549587121378 from the Numbermatics database.
Names of 137985504549587121378
- Cardinal: 137985504549587121378 can be written as One hundred thirty-seven quintillion, nine hundred eighty-five quadrillion, five hundred four trillion, five hundred forty-nine billion, five hundred eighty-seven million, one hundred twenty-one thousand, three hundred seventy-eight.
Scientific notation
- Scientific notation: 1.37985504549587121378 × 1020
Factors of 137985504549587121378
Divisors of 137985504549587121378
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 6 7 14 21 42 49 89 98 109 147 178 218 267 271 294 327 343 534 542 623 654 686 763 813 1029 1246 1526 1626 1869 1897 2058 2289 3738 3794 4361 4578 5341 5691 7921 8722 9701 10682 11382 11881 13083 13279 15842 16023 19402 23762 23763 24119 26166 26558 29103 29539 30527 32046 35643 37387 39837 47526 48238 55447 58206 59078 61054 67907 71286 72357 73441 74774 79674 83167 88617 91581 92953 110894 112161 135814 144714 146882 166334 166341 168833 177234 183162 185906 203721 206773 220323 224322 249501 278859 332682 337666 388129 407442 413546 440646 475349 499002 506499 514087 557718 582169 620319 704969 776258 863389 950698 1012998 1028174 1057409 1164338 1164387 1181831 1240638 1295029 1409938 1426047 1447411 1542261 1726778 1746507 2114818 2114907 2146591 2328774 2363662 2590058 2590167 2628971 2716903 2852094 2894822 3084522 3172227 3219751 3327443 3493014 3545493 3598609 3885087 4075183 4229814 4293182 4342233 4934783 5180334 5257942 5433806 6043723 6344454 6439502 6439773 6536249 6654886 7090986 7197218 7401863 7770174 7886913 8005069 8150366 8150709 8272817 8684466 9065203 9659253 9869566 9982329 10131877 10795827 12087446 12225549 12879546 13072498 14803726 14804349 15026137 15773826 16010138 16301418 16545634 18130406 18131169 18402797 19318506 19608747 19964658 20263754 21591654 22205589 22538257 24015207 24451098 24818451 25190263 27195609 29608698 30052274 30395631 34543481 36262338 36805594 39217494 42306061 44411178 45076514 45078411 45753743 48030414 49636902 50380526 51813041 54391218 55208391 56035483 60791262 63456421 67614771 69086962 75570789 76841621 84612122 90156822 91507486 94109401 103626082 103630443 105182959 110416782 112070966 115257581 126912842 126918183 128819579 135229542 137261229 151141578 153683242 155439123 157767799 168106449 188218802 190369263 191046599 207260886 210365918 230515162 230524863 233978419 241804367 253836366 257639158 274522458 282328203 286557839 296142427 310878246 315535598 315548877 320276201 336212898 345772743 350952859 362691287 380738526 382093198 386458737 392248381 444194947 461049726 467956838 473303397 483608734 537891347 564656406 573115678 573139797 581726161 592284854 631097754 640552402 658765807 691545486 701905718 701935257 712451141 725382574 725413101 736280713 772917474 784496762 806803067 859673517 872552521 888389894 888427281 901737053 946606794 960828603 1052858577 1075782694 1088073861 1104374593 1146279594 1163452322 1176745143 1317531614 1332584841 1337326193 1403870514 1424902282 1450826202 1472561426 1613606134 1613674041 1637848933 1719347034 1745105042 1745178483 1776854562 1803474106 1921657206 1976297421 2005904873 2105717154 2137353423 2176147722 2208749186 2208842139 2241933407 2353490286 2420409201 2456670013 2617657563 2665169682 2674652386 2705211159 2745738667 3227348082 3275697866 3313123779 3490356966 3765239429 3952594842 4011809746 4011978579 4072083127 4274706846 4417684278 4483866814 4611360649 4840818402 4913340026 4913546799 4987157987 5235315126 5410422318 5491477334 5647621469 6017714619 6107867647 6626247558 6725800221 7370010039 7530478858 8023957158 8144166254 8237216001 8375736689 9222721298 9361283351 9827093598 9974315974 10257924709 11295242938 11295718287 11464942531 12035429238 12215735294 12216249381 13451600442 13834081947 14041334111 14740020078 14961473961 16474432002 16751473378 16942864407 17196690091 18323602941 18722566702 20515849418 20824079291 22591436574 22929885062 24432498762 25127210067 25503647671 26356676003 27668163894 28082668222 28083850053 28504581889 29922947922 30773774127 31234804451 32279524543 33885728814 34393380182 34394827593 34910105909 36647205882 39533350283 41648158582 42124002333 42755073529 50254420134 51007295342 51590070273 51773628329 52713352006 56167700106 57009163778 58630156823 61547548254 62469608902 62472237873 63408151549 64559049086 65528983457 68789655186 69820211818 71805472963 76510943013 77657174369 79066700566 79070028009 80254597717 84248004666 85510147058 85513745667 93704413353 95108224789 96838573629 98289338777 103180140546 103547256658 104730317727 117260313646 118600050849 120376830637 124944475746 126816303098 128265220587 131057966914 143610945926 145768555037 153021886026 155314348738 155320884987 158140056018 160509195434 171027491334 175890470469 178525533697 187408826706 190216449578 190224454647 193677147258 196578677554 196586950371 199532073223 209460635454 215416418889 218643631157 232971523107 237200101698 240753661274 240763793151 244370741363 256530441174 285324674367 291537110074 294868016331 299285514703 310641769974 351780940938 357051067394 361130491911 362415398303 380448909294 393173900742 399064146446 410411097761 430832837778 437287262314 437305665111 443857060843 465943046214 481527586302 488741482726 502638310741 535576601091 543600220583 570649348734 589736032662 598571029406 598596219669 655930893471 665757573523 722260983822 724830796606 733112224089 820822195522 874611330222 887714121686 897856544109 912955299101 1005276621482 1020379885259 1071153202182 1087200441166 1087246194909 1197192439338 1231233293283 1249678735879 1311861786942 1331515147046 1331571182529 1466224448178 1507914932223 1530505418099 1630800661749 1795713088218 1825910598202 1997272720569 2040759770518 2174492389818 2269824642719 2462466586566 2499357471758 2536907788121 2663142365058 2738865897303 2779897596139 2872877684327 3015829864446 3061010836198 3061139655777 3106999425901 3261601323498 3518468175187 3749036207637 3805201544081 3994545441138 4539649285438 4591516254297 4660303014661 5073815576242 5477731794606 5559795192278 5643325487861 5745755368654 6122279311554 6213998851802 6390687093707 6809473928157 6911488518841 7036936350374 7142659196813 7498072415274 7610403088162 7610723364363 8339692788417 8464632006221 8618633052981 8747751151153 9183032508594 9320606029322 9320998277703 10555404525561 10713537926693 11286650975722 11415604632243 12781374187414 13618947856314 13822977037682 13980909043983 14285318393626 15221446728726 15888772499033 16679385576834 16929264012442 16929976463583 17237266105962 17495502302306 17758354516847 18641996555406 19172061281121 19459283172973 20734465556523 21110809051122 21427075853386 21427977590439 21748995981307 22831209264486 25393896018663 26243253453459 26636410808567 27961818087966 31777544998066 32140613780079 32622121102627 33859952927166 35516709033694 38344122562242 38918566345946 39503278415027 41468931113046 42855955180878 43497991962614 44734809655949 47666317497099 48380419631887 50787792037326 52486506906918 53272821617134 53275063550541 58377849518919 59252424043547 64281227560158 65244242205254 65246987943921 79006556830054 79909232425701 89469619311898 95332634994198 96760839263774 97866363307881 106550127101082 111221407493231 116755699037838 118504848087094 118509835245081 130493975887842 134204428967847 136214982210811 145141258895661 159818464851402 177757272130641 195732726615762 222442814986462 237019670490162 247410886056371 268408857935694 272429964421622 276522948905189 290282517791322 313143667591643 333664222479693 338662937423209 355514544261282 408644946632433 414766968304829 494821772112742 553045897810378 615122478176849 626287335183286 667328444959386 677325874846418 742232658169113 753352248553669 778549852452617 817289893264866 829533936609658 829568846715567 939431002774929 953504875475677 1015988812269627 1230244956353698 1244300904914487 1484465316338226 1506704497107338 1557099704905234 1659137693431134 1731876202394597 1845367434530547 1878862005549858 1907009750951354 1935660642336323 2031977624539254 2260056745661007 2335649557357851 2370640561962463 2488601809828974 2860514626427031 2903368778133803 3463752404789194 3690734869061094 3871321284672646 4305857347237943 4520113491322014 4671299114715702 4741281123924926 5195628607183791 5273465739875683 5721029252854062 5806737556267606 5806981927008969 7111921685887389 8611714694475886 8710106334401409 10391257214367582 10546931479751366 11613963854017938 12123133416762179 12917572041713829 14223843371774778 15820397219627049 17420212668802818 24246266833524358 25835144083427658 30141001430665601 31640794439254098 36369400250286537 36914260179129781 60282002861331202 67048350121276541 72738800500573074 73828520358259562 84861933917335253 90423004291996803 110742780537389343 134096700242553082 169723867834670506 180846008583993606 201145050363829623 210987010014659207 221485561074778686 254585801752005759 258399821253908467 402290100727659246 421974020029318414 469338450848935787 509171603504011518 516799642507816934 632961030043977621 775199463761725401 938676901697871574 1265922060087955242 1408015352546807361 1550398927523450802 2816030705093614722 3285369155942550509 6570738311885101018 9856107467827651527 19712214935655303054 22997584091597853563 45995168183195707126 68992752274793560689 137985504549587121378
- Sum of all divisors σ(n): 329719706606759040000
- Sum of proper divisors (its aliquot sum) s(n): 191734202057171918622
- 137985504549587121378 is an abundant number, because the sum of its proper divisors (191734202057171918622) is greater than itself. Its abundance is 53748697507584797244
Bases of 137985504549587121378
- Binary: 11101111010111011101111110101001111001011110010111111110100111000102
- Hexadecimal: 0x77AEEFD4F2F2FF4E2
- Base-36: T4CKJ2TPD695U
Squares and roots of 137985504549587121378
- 137985504549587121378 squared (1379855045495871213782) is 19039999465804128172551013008556504618884
- 137985504549587121378 cubed (1379855045495871213783) is 2627243932912851888619999046037488516545437314086018538902152
-
The
square root of 137985504549587121378 is 11746723140.9268823961 -
The
cube root of 137985504549587121378 is 5167468.3102709007
Scales and comparisons
How big is 137985504549587121378?- 137,985,504,549,587,121,378 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,985,504,549,587,121,378 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137985504549587121378 cubic inches would be around 430622.4 feet tall.
Recreational maths with 137985504549587121378
- 137985504549587121378 backwards is 873121785945405589731
- The number of decimal digits it has is: 21
- The sum of 137985504549587121378's digits is 102
- More coming soon!
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The information we have on file for 137985504549587121378 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 137985504549587121378, math, Factors of 137985504549587121378, curriculum, school, college, exams, university, Prime factorization of 137985504549587121378, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, nine hundred eighty-five quadrillion, five hundred four trillion, five hundred forty-nine billion, five hundred eighty-seven million, one hundred twenty-one thousand, three hundred seventy-eight.