137438815969046592
137,438,815,969,046,592 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137438815969046592 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 896 divisors.
137438815969046592 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 137438815969046592:
26 × 33 × 7 × 11 × 13 × 37 × 2147483647
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 13 × 37 × 2147483647)See below for interesting mathematical facts about the number 137438815969046592 from the Numbermatics database.
Names of 137438815969046592
- Cardinal: 137438815969046592 can be written as One hundred thirty-seven quadrillion, four hundred thirty-eight trillion, eight hundred fifteen billion, nine hundred sixty-nine million, forty-six thousand, five hundred ninety-two.
Scientific notation
- Scientific notation: 1.37438815969046592 × 1017
Factors of 137438815969046592
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 2147483720
Divisors of 137438815969046592
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 32 33 36 37 39 42 44 48 52 54 56 63 64 66 72 74 77 78 84 88 91 96 99 104 108 111 112 117 126 132 143 144 148 154 156 168 176 182 189 192 198 208 216 222 224 231 234 252 259 264 273 286 288 296 297 308 312 333 336 351 352 364 378 396 407 416 429 432 444 448 462 468 481 504 518 528 546 572 576 592 594 616 624 666 672 693 702 704 728 756 777 792 814 819 832 858 864 888 924 936 962 999 1001 1008 1036 1056 1092 1144 1184 1188 1221 1232 1248 1287 1332 1344 1386 1404 1443 1456 1512 1554 1584 1628 1638 1716 1728 1776 1848 1872 1924 1998 2002 2016 2072 2079 2112 2184 2288 2331 2368 2376 2442 2457 2464 2496 2574 2664 2772 2808 2849 2886 2912 3003 3024 3108 3168 3256 3276 3367 3432 3552 3663 3696 3744 3848 3861 3996 4004 4032 4144 4158 4329 4368 4576 4662 4752 4884 4914 4928 5148 5291 5328 5544 5616 5698 5772 5824 6006 6048 6216 6336 6512 6552 6734 6864 6993 7104 7326 7392 7488 7696 7722 7992 8008 8288 8316 8547 8658 8736 9009 9152 9324 9504 9768 9828 10101 10296 10582 10656 10989 11088 11232 11396 11544 12012 12096 12432 12987 13024 13104 13468 13728 13986 14652 14784 15392 15444 15873 15984 16016 16576 16632 17094 17316 17472 18018 18648 19008 19536 19656 20202 20592 21164 21312 21978 22176 22464 22792 23088 24024 24864 25641 25974 26048 26208 26936 27027 27456 27972 29304 30303 30784 30888 31746 31968 32032 33264 34188 34632 36036 37037 37296 39072 39312 40404 41184 42328 43956 44352 45584 46176 47619 48048 49728 51282 51948 52416 53872 54054 55944 58608 60606 61776 63492 63936 64064 66528 68376 69264 72072 74074 74592 76923 78144 78624 80808 82368 84656 87912 90909 91168 92352 95238 96096 102564 103896 107744 108108 111111 111888 117216 121212 123552 126984 133056 136752 138528 142857 144144 148148 149184 153846 157248 161616 169312 175824 181818 182336 190476 192192 205128 207792 215488 216216 222222 223776 234432 242424 247104 253968 273504 277056 285714 288288 296296 307692 323232 333333 338624 351648 363636 380952 410256 415584 432432 444444 447552 484848 507936 547008 571428 576576 592592 615384 646464 666666 703296 727272 761904 820512 831168 864864 888888 969696 999999 1015872 1142856 1185184 1230768 1333332 1454544 1523808 1641024 1729728 1777776 1939392 1999998 2285712 2370368 2461536 2666664 2909088 3047616 3555552 3999996 4571424 4923072 5333328 5818176 7111104 7999992 9142848 10666656 15999984 21333312 31999968 63999936 2147483647 4294967294 6442450941 8589934588 12884901882 15032385529 17179869176 19327352823 23622320117 25769803764 27917287411 30064771058 34359738352 38654705646 45097156587 47244640234 51539607528 55834574822 57982058469 60129542116 68719476704 70866960351 77309411292 79456894939 83751862233 90194313174 94489280468 103079215056 111669149644 115964116938 120259084232 135291469761 137438953408 141733920702 154618822584 158913789878 165356240819 167503724466 180388626348 188978560936 195421011877 206158430112 212600881053 223338299288 231928233876 238370684817 240518168464 251255586699 270582939522 283467841404 307090161521 309237645168 317827579756 330712481638 335007448932 360777252696 377957121872 390842023754 405874409283 412316860224 425201762106 446676598576 463856467752 476741369634 481036336928 496068722457 502511173398 541165879044 556198264573 566935682808 586263035631 614180323042 618475290336 635655159512 637802643159 661424963276 670014897864 715112054451 721554505392 753766760097 755914243744 781684047508 811748818566 850403524212 874025844329 893353197152 921270484563 927712935504 953482739268 962072673856 992137444914 1005022346796 1032939634207 1082331758088 1112396529146 1133871365616 1172526071262 1228360646084 1236950580672 1271310319024 1275605286318 1322849926552 1340029795728 1430224108902 1443109010784 1488206167371 1507533520194 1511828487488 1563368095016 1623497637132 1668594793719 1700807048424 1748051688658 1758789106893 1786706394304 1842540969126 1855425871008 1906965478536 1984274889828 2010044693592 2065879268414 2145336163353 2149631130647 2164663516176 2224793058292 2267742731232 2345052142524 2456721292168 2542620638048 2551210572636 2622077532987 2645699853104 2680059591456 2763811453689 2860448217804 2886218021568 2976412334742 3015067040388 3098818902621 3126736190032 3246995274264 3337189587438 3401614096848 3496103377316 3517578213786 3685081938252 3710851742016 3813930957072 3968549779656 4020089387184 4131758536828 4290672326706 4299262261294 4329327032352 4449586116584 4464618502113 4535485462464 4690104285048 4913442584336 5005784381157 5085241276096 5102421145272 5244155065974 5276367320679 5291399706208 5360119182912 5527622907378 5720896435608 5952824669484 6030134080776 6118180910303 6197637805242 6253472380064 6448893391941 6493990548528 6674379174876 6803228193696 6992206754632 7035156427572 7230577439449 7370163876504 7627861914144 7866232598961 7937099559312 8040178774368 8263517073656 8291434361067 8581344653412 8598524522588 8658654064704 8899172233168 8929237004226 9296456707863 9380208570096 9826885168672 10011568762314 10204842290544 10488310131948 10552734641358 10582799412416 11055245814756 11362335976277 11441792871216 11905649338968 12060268161552 12236361820606 12395275610484 12506944760128 12897786783882 12987981097056 13348758349752 13606456387392 13984413509264 14070312855144 14461154878898 14740327753008 15017353143471 15255723828288 15732465197922 15874199118624 16080357548736 16527034147312 16582868722134 17162689306824 17197049045176 17798344466336 17858474008452 18354542730909 18592913415726 18760417140192 19346680175823 19653770337344 20023137524628 20409684581088 20976620263896 21105469282716 21691732318347 22110491629512 22724671952554 22883585742432 23598697796883 23811298677936 24120536323104 24472723641212 24790551220968 25795573567764 25975962194112 26697516699504 27889370123589 27968827018528 28140625710288 28922309757796 29480655506016 30034706286942 31464930395844 31748398237248 33054068294624 33165737444268 34087007928831 34325378613648 34394098090352 35596688932672 35716948016904 36709085461818 37185826831452 37520834280384 38693360351646 40046275049256 40819369162176 41953240527792 42210938565432 43383464636694 44220983259024 45449343905108 45767171484864 47197395593766 47622597355872 48241072646208 48945447282424 49581102441936 51591147135528 53395033399008 55063628192727 55778740247178 55937654037056 56281251420576 57844619515592 58040040527469 58961311012032 60069412573884 62929860791688 65075196955041 66108136589248 66331474888536 68174015857662 68650757227296 68788196180704 71433896033808 73418170923636 74371653662904 77386720703292 79536351833939 80092550098512 83906481055584 84421877130864 86766929273388 88441966518048 90898687810216 94394791187532 95245194711744 97890894564848 99162204883872 102261023786493 103182294271056 106790066798016 110127256385454 111557480494356 112562502841152 115689239031184 116080081054938 120138825147768 125859721583376 130150393910082 132662949777072 136348031715324 137301514454592 137576392361408 142867792067616 146836341847272 148743307325808 154773441406584 159072703667878 160185100197024 165190884578181 167812962111168 168843754261728 173533858546776 176883933036096 181797375620432 188789582375064 195225590865123 195781789129696 198324409767744 204522047572986 206364588542112 220254512770908 223114960988712 231378478062368 232160162109876 238609055501817 240277650295536 251719443166752 260300787820164 265325899554144 272696063430648 285735584135232 293672683694544 297486614651616 306783071359479 309546882813168 318145407335756 320370200394048 330381769156362 337687508523456 347067717093552 363594751240864 377579164750128 390451181730246 391563578259392 409044095145972 412729177084224 440509025541816 446229921977424 462756956124736 464320324219752 477218111003634 480555300591072 503438886333504 520601575640328 530651799108288 545392126861296 587345367389088 594973229303232 613566142718958 619093765626336 636290814671512 660763538312724 694135434187104 715827166505451 727189502481728 755158329500256 780902363460492 818088190291944 881018051083632 892459843954848 928640648439504 954436222007268 961110601182144 1041203151280656 1090784253722592 1174690734778176 1227132285437916 1238187531252672 1272581629343024 1321527076625448 1388270868374208 1431654333010902 1510316659000512 1561804726920984 1636176380583888 1762036102167264 1784919687909696 1857281296879008 1908872444014536 2082406302561312 2147481499516353 2181568507445184 2454264570875832 2545163258686048 2643054153250896 2863308666021804 3123609453841968 3272352761167776 3524072204334528 3714562593758016 3817744888029072 4164812605122624 4294962999032706 4908529141751664 5090326517372096 5286108306501792 5726617332043608 6247218907683936 6544705522335552 7635489776058144 8589925998065412 9817058283503328 10572216613003584 11453234664087216 12494437815367872 15270979552116288 17179851996130824 19634116567006656 22906469328174432 34359703992261648 45812938656348864 68719407984523296 137438815969046592
- Sum of all divisors σ(n): 557155527142932480
- Sum of proper divisors (its aliquot sum) s(n): 419716711173885888
- 137438815969046592 is an abundant number, because the sum of its proper divisors (419716711173885888) is greater than itself. Its abundance is 282277895204839296
Bases of 137438815969046592
- Binary: 1111010000100011111011111111111000010111101110000010000002
- Hexadecimal: 0x1E847DFFC2F7040
- Base-36: 11L9ZSF2WEO0
Squares and roots of 137438815969046592
- 137438815969046592 squared (1374388159690465922) is 18889428134973456507588257466814464
- 137438815969046592 cubed (1374388159690465923) is 2596140637203147877881912653292504794455269435506688
-
The
square root of 137438815969046592 is 370727414.6445695375 -
The
cube root of 137438815969046592 is 516063.4899355585
Scales and comparisons
How big is 137438815969046592?- 137,438,815,969,046,592 seconds is equal to 4,370,129,221 years, 33 weeks, 3 days, 18 hours, 43 minutes, 12 seconds.
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To count from 1 to 137,438,815,969,046,592 would take you about thirteen billion, one hundred ten million, three hundred eighty-seven thousand, six hundred sixty-four 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 137438815969046592 cubic inches would be around 43005.3 feet tall.
Recreational maths with 137438815969046592
- 137438815969046592 backwards is 295640969518834731
- The number of decimal digits it has is: 18
- The sum of 137438815969046592's digits is 90
- More coming soon!
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The information we have on file for 137438815969046592 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 137438815969046592, math, Factors of 137438815969046592, curriculum, school, college, exams, university, Prime factorization of 137438815969046592, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, four hundred thirty-eight trillion, eight hundred fifteen billion, nine hundred sixty-nine million, forty-six thousand, five hundred ninety-two.