137428510699296144
137,428,510,699,296,144 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137428510699296144 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1800 divisors.
137428510699296144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 137428510699296144:
24 × 34 × 31 × 412 × 53 × 67 × 7572
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 31 × 41 × 41 × 53 × 67 × 757 × 757)See below for interesting mathematical facts about the number 137428510699296144 from the Numbermatics database.
Names of 137428510699296144
- Cardinal: 137428510699296144 can be written as One hundred thirty-seven quadrillion, four hundred twenty-eight trillion, five hundred ten billion, six hundred ninety-nine million, two hundred ninety-six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37428510699296144 × 1017
Factors of 137428510699296144
Divisors of 137428510699296144
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 36 41 48 53 54 62 67 72 81 82 93 106 108 123 124 134 144 159 162 164 186 201 212 216 246 248 268 279 318 324 328 369 372 402 424 432 477 492 496 536 558 603 636 648 656 738 744 757 804 837 848 954 984 1072 1107 1116 1206 1271 1272 1296 1431 1476 1488 1514 1608 1643 1674 1681 1809 1908 1968 2077 2173 2214 2232 2271 2412 2511 2542 2544 2747 2862 2952 3028 3216 3286 3321 3348 3362 3551 3618 3813 3816 4154 4293 4346 4428 4464 4542 4824 4929 5022 5043 5084 5427 5494 5724 5904 6056 6231 6519 6572 6642 6696 6724 6813 7102 7236 7626 7632 8241 8308 8586 8692 8856 9084 9648 9858 10044 10086 10168 10653 10854 10988 11439 11448 12112 12462 13038 13144 13284 13392 13448 13626 14204 14472 14787 15129 15252 16482 16616 17172 17384 17712 18168 18693 19557 19716 20088 20172 20336 20439 21306 21708 21976 22878 22896 23467 24723 24924 26076 26288 26568 26896 27252 28408 28944 29574 30258 30504 31037 31959 32964 33232 34317 34344 34768 36336 37386 39114 39432 40121 40176 40344 40878 42612 43416 43952 44361 45387 45756 46934 49446 49848 50719 52111 52152 53136 54504 56079 56816 58671 59148 60516 61008 61317 62074 63918 65928 67363 68634 68688 70401 74169 74772 78228 78864 80242 80688 81756 85157 85224 86832 88722 89093 90774 91512 93111 93868 95877 98892 99696 101438 102951 104222 104304 109008 110081 112158 112627 117342 118296 120363 121032 122634 124148 127836 131856 133083 134726 136161 137268 140802 145591 148338 149544 152157 156333 156456 160484 163512 168237 170314 170448 176013 177444 178186 181548 183024 186222 187736 191754 197784 202089 202876 205902 208444 211203 220162 222507 224316 225254 234684 236592 240726 242064 245268 248296 255471 255672 266166 267279 269452 272322 274536 279333 281604 287631 291182 296676 299088 304314 312666 312912 320968 327024 330243 336474 337881 340628 352026 354888 356372 361089 363096 372444 375472 383508 395568 404178 405752 411804 416888 422406 436773 440324 445014 448632 450508 456471 468999 469368 481452 490536 496592 510942 511344 532332 534558 538904 544644 549072 558666 563208 573049 575262 582364 593352 606267 608628 625332 633609 641936 660486 672948 675762 681256 704052 709776 712744 722178 726192 744888 766413 767016 801837 808356 811504 823608 833776 837999 844812 873546 880648 890028 897264 901016 912942 937998 938736 962147 962904 981072 990729 1013643 1021884 1064664 1069116 1077808 1083267 1089288 1117332 1126416 1146098 1150524 1164728 1186704 1212534 1217256 1243751 1250664 1267218 1272517 1310319 1320972 1345896 1351524 1362512 1369413 1406997 1408104 1425488 1444356 1489776 1532826 1534032 1572289 1603674 1616712 1644961 1647216 1675998 1689624 1719147 1747092 1761296 1780056 1802032 1818801 1825884 1875996 1900827 1924294 1925808 1981458 2027286 2043768 2079479 2129328 2138232 2166534 2178576 2234664 2292196 2299239 2301048 2329456 2405511 2425068 2434512 2487502 2501328 2513997 2534436 2545034 2620638 2641944 2688107 2691792 2703048 2738826 2761883 2813994 2816208 2886441 2888712 2972187 3040929 3065652 3144578 3207348 3233424 3249801 3289922 3351996 3379248 3438294 3491437 3494184 3560112 3637602 3651768 3731253 3751992 3801654 3817551 3848588 3930957 3962916 4054572 4087536 4108239 4158958 4220991 4276464 4333068 4469328 4513321 4584392 4598478 4602096 4716867 4811022 4850136 4934883 4975004 5027994 5068872 5090068 5157441 5241276 5283888 5376214 5406096 5456403 5477652 5523766 5627988 5772882 5777424 5944374 5969231 6081858 6131304 6238437 6289156 6414696 6499602 6579844 6703992 6876588 6897717 6982874 6988368 7216533 7275204 7303536 7462506 7503984 7603308 7635102 7697176 7861914 7925832 8064321 8109144 8216478 8285649 8317916 8441982 8659323 8666136 8916561 9026642 9122787 9168784 9196956 9433734 9622044 9700272 9869766 9950008 10055988 10137744 10180136 10314882 10474311 10482552 10752428 10912806 10955304 11047532 11193759 11255976 11452653 11545764 11792871 11888748 11938462 12163716 12262608 12476874 12578312 12829392 12999204 13159688 13407984 13539963 13753176 13795434 13965748 14150601 14433066 14550408 14804649 14925012 15206616 15270204 15394352 15472323 15723828 15851664 16128642 16218288 16432956 16571298 16635832 16883964 17318646 17332272 17764519 17833122 17907693 18053284 18245574 18393912 18715311 18867468 19244088 19739532 19900016 20111976 20360272 20629764 20948622 20965104 21504856 21825612 21910608 22095064 22387518 22511952 22905306 23091528 23495009 23585742 23777496 23876924 24192963 24327432 24856947 24953748 25156624 25977969 25998408 26319376 27079926 27506352 27590868 27931496 28301202 28866132 29100816 29609298 29850024 30371597 30413232 30540408 30944646 31422933 31447656 32257284 32865912 33142596 33271664 33581277 33767928 34357959 34637292 35529038 35666244 35815386 36106568 36491148 36787824 37430622 37734936 38394283 38488176 39448027 39479064 40223952 40619889 41259528 41897244 42451803 43009712 43651224 44190128 44413947 44775036 45810612 46183056 46416969 46990018 47171484 47554992 47753848 48385926 48654864 49713894 49907496 50993791 51955938 51996816 53293557 53723079 54159852 55181736 55862992 56145933 56602404 57732264 59218596 59700048 60743194 61080816 61889292 62845866 62895312 64463849 64514568 65731824 66285192 67162554 67443401 67535856 68715918 69274584 70485027 71058076 71332488 71630772 72213136 72578889 72982296 74570841 74861244 75469872 76788566 77933907 78896054 78958128 81239778 82519056 83331317 83794488 84903606 85258639 87302448 88827894 89550072 91114791 91621224 92833938 93980036 94268799 94342968 95507696 96771852 99427788 99814992 100743831 101987582 103073877 103911876 106587114 107446158 108319704 110212387 110363472 112291866 113204808 115182849 115464528 118344081 118437192 121486388 121859667 123778584 125691732 127355409 128927698 129029136 132570384 133241841 134325108 134886802 137431836 138549168 140970054 142116152 142664976 143261544 145157778 145964592 149141682 149722488 152981373 153577132 155867814 157792108 159880671 161169237 162479556 166662634 167588976 168437799 169807212 170517278 177655788 179100144 182229582 183242448 185046161 185667876 187960072 188537598 188685936 193391547 193543704 198855576 201487662 202330203 203975164 206147754 207823752 211455081 213174228 214892316 216639408 217736667 220424774 223712523 224583732 226409616 230365698 236688162 236874384 242972776 243719334 247557168 249993951 251383464 254710818 255775917 257855396 266483682 268650216 269773604 273344373 274863672 281940108 282806397 284232304 286523088 290315556 298283364 299444976 305962746 307154264 311735628 315584216 319761342 322338474 324959112 330637161 333325268 336875598 339614424 341034556 345548547 355032243 355311576 364459164 365579001 370092322 371335752 375920144 377075196 386783094 387087408 397711152 402975324 404660406 407950328 412295508 415647504 422910162 426348456 429784632 435473334 440849548 447425046 449167464 458944119 460731396 473376324 479642013 483507711 485945552 487438668 499987902 502766928 509421636 511551834 515710792 532967364 537300432 539547208 546688746 549727344 555138483 563880216 565612794 580174641 580631112 596566728 606990609 611925492 614308528 623471256 631168432 634365243 639522684 644676948 649918224 661274322 666650536 673751196 679228848 682069112 691097094 710064486 710623152 728345279 728918328 731158002 740184644 742671504 749981853 754150392 767327751 773566188 805950648 809320812 815900656 820033119 824591016 845820324 852696912 859569264 870946668 881699096 894850092 898334928 917888238 921462792 941519507 946752648 959284026 963295369 967015422 974877336 991911483 999975804 1018843272 1023103668 1031421584 1036645641 1065096729 1065934728 1079094416 1093377492 1110276966 1127760432 1131225588 1160349282 1161262224 1190222773 1193133456 1213981218 1223850984 1245235477 1246942512 1268730486 1279045368 1289353896 1322548644 1333301072 1347502392 1364138224 1376832357 1382194188 1420128972 1438926039 1456690558 1457836656 1462316004 1480369288 1499963706 1508300784 1534655502 1547132376 1574165603 1611901296 1618641624 1640066238 1649182032 1665415449 1691640648 1740523923 1741893336 1763398192 1789700184 1820971827 1835776476 1842925584 1883039014 1893505296 1903095729 1918568052 1926590738 1934030844 1949754672 1983822966 1999951608 2034896999 2037686544 2046207336 2073291282 2090745431 2130193458 2131869456 2185035837 2186754984 2220553932 2249945559 2262451176 2301983253 2320698564 2380445546 2427962436 2447701968 2460099357 2490470954 2537460972 2558090736 2578707792 2643017809 2645097288 2695004784 2753664714 2764388376 2824558521 2840257944 2877852078 2889886107 2913381116 2924632008 2960738576 2975734449 2999927412 3069311004 3094264752 3109936923 3148331206 3195290187 3237283248 3280132476 3330830898 3383281296 3416583997 3481047846 3483786672 3570668319 3579400368 3641943654 3671552952 3735706431 3766078028 3806191458 3837136104 3853181476 3868061688 3967645932 3999903216 4069793998 4092414672 4130497071 4146582564 4181490862 4260386916 4370071674 4373509968 4441107864 4499891118 4518707867 4524902352 4603966506 4641397128 4722496809 4760891092 4855924872 4920198714 4980941908 4996246347 5074921944 5221571769 5286035618 5290194576 5462915481 5507329428 5528776752 5649117042 5680515888 5755704156 5779772214 5826762232 5849264016 5951468898 5999854824 6104690997 6138622008 6219873846 6272236293 6296662412 6390580374 6555107511 6560264952 6661661796 6749836677 6833167994 6905949759 6962095692 7141336638 7283887308 7343105904 7471412862 7532156056 7612382916 7674272208 7706362952 7736123376 7929053427 7935291864 8139587996 8260994142 8293165128 8362981724 8473675563 8520773832 8669658321 8740143348 8882215728 8927203347 8999782236 9037415734 9207933012 9282794256 9444993618 9521782184 9711849744 9840397428 9961883816 9992492694 10149843888 10249751991 10443143538 10572071236 10712004957 10925830962 11014658856 11207119293 11298234084 11511408312 11559544428 11653524464 11902937796 11999709648 12209381994 12277244016 12439747692 12544472586 12593324824 12781160748 13110215022 13120529904 13323323592 13499673354 13556123601 13666335988 13811899518 13924191384 14167490427 14282673276 14567774616 14942825724 14988739041 15064312112 15224765832 15412725904 15858106854 15870583728 16279175992 16521988284 16586330256 16725963448 16947351126 17041547664 17339316642 17480286696 17854406694 17999564472 18074831468 18314072991 18415866024 18816708879 18889987236 19043564368 19665322533 19680794856 19923767632 19984985388 20499503982 20886287076 21144142472 21424009914 21851661924 22029317712 22414238586 22596468168 23022816624 23119088856 23787160281 23805875592 24418763988 24879495384 25088945172 25186649648 25421026689 25562321496 26008974963 26220430044 26646647184 26999346708 27112247202 27332671976 27623799036 27848382768 28334980854 28565346552 29135549232 29862156439 29885651448 29977478082 30449531664 30749255973 31716213708 32136014871 32558351984 33043976568 33451926896 33621357879 33894702252 34678633284 34960573392 35708813388 35999128944 36149662936 36628145982 36831732048 37633417758 37779974472 38602299787 39330645066 39361589712 39969970776 40668370803 40999007964 41772574152 42288284944 42502471281 42848019828 43703323848 44828477172 45192936336 46238177712 47574320562 47611751184 48799133693 48837527976 49758990768 50177890344 50842053378 51054654557 51124642992 52017949926 52440860088 53998693416 54224494404 54665343952 54942218973 55247598072 56450126637 56669961708 57130693104 58995967599 59724312878 59771302896 59954956164 61498511946 63081806969 63432427416 64272029742 64540789723 66087953136 67242715758 67789404504 69357266568 71361480843 71417626776 72299325872 73256291964 75266835516 75559948944 76263080067 77204599574 78026924889 78661290132 79939941552 81336741606 81998015928 83430776959 83545148304 85004942562 85696039656 87406647696 89586469317 89656954344 92247767919 95148641124 96408044613 97598267386 97675055952 100355780688 100864073637 101684106756 102109309114 104035899852 104881720176 107997386832 108448988808 109884437946 110495196144 112900253274 113339923416 115806899361 117991935198 119448625756 119909912328 122005112409 122997023892 126163613938 126864854832 127507413843 128544059484 129081579446 134485431516 135578809008 138714533136 140079943877 142722961686 142835253552 146397401079 146512583928 150533671032 152526160134 153163963671 154409199148 156053849778 157322580264 162673483212 163996031856 164826656919 166861553918 169350379911 170009885124 171392079312 179172938634 179313908688 184495535838 189245420907 190297282248 192816089226 193622369169 195196534772 201728147274 203368213512 204218618228 208071799704 214084442529 216897977616 219768875892 225800506548 226679846832 231613798722 235983870396 238897251512 239819824656 244010224818 245994047784 250292330877 252327227876 255014827686 257088118968 258163158892 268759407951 268970863032 276743303757 280159887754 285445923372 292794802158 293025167856 301067342064 305052320268 306327927342 308818398296 312107699556 314645160528 325346966424 329653313838 333723107836 338700759822 340019770248 347420698083 358345877268 366015337227 368991071676 378490841814 380594564496 385632178452 387244738338 390393069544 403456294548 406736427024 408437236456 416143599408 420239831631 428168885058 439192203237 439537751784 451601013096 459491891013 463227597444 471967740792 477794503024 488020449636 491988095568 500584661754 504654455752 510029655372 514176237936 516326317784 537518815902 537941726064 553486607514 560319775508 567736262721 570891846744 580867107507 585589604316 610104640536 612655854684 617636796592 624215399112 650693932848 659306627676 667446215672 677401519644 680039540496 694841396166 716691754536 732030674454 737982143352 750876992631 756981683628 771264356904 774489476676 780786139088 806278223853 806912589096 816874472912 840479663262 856337770116 878384406474 879075503568 903202026192 918983782026 926455194888 943935481584 976040899272 1001169323508 1009308911504 1020059310744 1032652635568 1042262094249 1075037631804 1106973215028 1120639551016 1135472525442 1141783693488 1161734215014 1171179208632 1220209281072 1225311709368 1248430798224 1260719494893 1317576609711 1318613255352 1334892431344 1354803039288 1378475673039 1389682792332 1433383509072 1464061348908 1475964286704 1501753985262 1513963367256 1542528713808 1548978953352 1582694291267 1612556447706 1613825178192 1680959326524 1703208788163 1712675540232 1742601322521 1756768812948 1837967564052 1852910389776 1952081798544 2000764481413 2002338647016 2040118621488 2084524188498 2150075263608 2213946430056 2241279102032 2252630977893 2270945050884 2323468430028 2342358417264 2418834671559 2450623418736 2521438989786 2586354085729 2635153219422 2637226510704 2709606078576 2756951346078 2779365584664 2928122697816 3003507970524 3027926734512 3097957906704 3126786282747 3165388582534 3225112895412 3361918653048 3406417576326 3420661855319 3425351080464 3485202645042 3513537625896 3675935128104 3782158484679 3952729829133 4001528962826 4004677294032 4135427019117 4169048376996 4300150527216 4427892860112 4505261955786 4541890101768 4646936860056 4748082873801 4837669343118 5042877979572 5109626364489 5172708171458 5227803967563 5270306438844 5513902692156 5558731169328 5856245395632 6002293444239 6007015941048 6253572565494 6330777165068 6450225790824 6723837306096 6757892933679 6812835152652 6841323710638 6970405290084 7027075251792 7351870256208 7564316969358 7759062257187 7905459658266 8003057925652 8270854038234 8338096753992 9010523911572 9083780203536 9293873720112 9496165747602 9675338686236 10085755959144 10219252728978 10261985565957 10345416342916 10455607935126 10540612877688 11027805384312 11346475454037 12004586888478 12014031882096 12507145130988 12661554330136 12900451581648 13515785867358 13625670305304 13682647421276 13940810580168 14244248621403 15128633938716 15518124514374 15810919316532 16006115851304 16541708076468 16676193507984 18006880332717 18021047823144 18992331495204 19350677372472 20171511918288 20438505457956 20523971131914 20690832685832 20911215870252 21081225755376 22055610768624 22692950908074 23277186771561 24009173776956 25014290261976 25323108660272 27031571734716 27251340610608 27365294842552 27881621160336 28488497242806 30257267877432 30785956697871 31036249028748 31621838633064 32012231702608 33083416152936 36013760665434 36042095646288 37984662990408 38701354744944 40877010915912 41047942263828 41381665371664 41822431740504 42732745864209 45385901816148 46554373543122 48018347553912 50028580523952 54020640998151 54063143469432 54730589685104 56976994485612 60514535754864 61571913395742 62072498057496 63243677266128 66166832305872 69831560314683 72027521330868 75969325980816 81754021831824 82095884527656 83644863481008 85465491728418 90771803632296 92357870093613 93108747086244 96036695107824 106040517514889 108041281996302 108126286938864 113953988971224 123143826791484 124144996114992 128198237592627 139663120629366 144055042661736 162061922994453 164191769055312 170930983456836 181543607264592 184715740187226 186217494172488 209494680944049 212081035029778 216082563992604 227907977942448 246287653582968 256396475185254 277073610280839 279326241258732 288110085323472 318121552544667 324123845988906 341861966913672 369431480374452 372434988344976 418989361888098 424162070059556 432165127985208 492575307165936 512792950370508 554147220561678 558652482517464 636243105089334 648247691977812 683723933827344 738862960748904 837978723776196 848324140119112 864330255970416 954364657634001 1025585900741016 1108294441123356 1117304965034928 1272486210178668 1296495383955624 1477725921497808 1675957447552392 1696648280238224 1908729315268002 2051171801482032 2216588882246712 2544972420357336 2592990767911248 2863093972902003 3351914895104784 3817458630536004 4433177764493424 5089944840714672 5726187945804006 7634917261072008 8589281918706009 11452375891608012 15269834522144016 17178563837412018 22904751783216024 34357127674824036 45809503566432048 68714255349648072 137428510699296144
- Sum of all divisors σ(n): 435763483911385344
- Sum of proper divisors (its aliquot sum) s(n): 298334973212089200
- 137428510699296144 is an abundant number, because the sum of its proper divisors (298334973212089200) is greater than itself. Its abundance is 160906462512793056
Bases of 137428510699296144
- Binary: 1111010000011111010000000100110100011111000010101100100002
- Hexadecimal: 0x1E83E809A3E1590
- Base-36: 11L6CA8RD500
Squares and roots of 137428510699296144
- 137428510699296144 squared (1374285106992961442) is 18886595553026554726345977013268736
- 137428510699296144 cubed (1374285106992961443) is 2595556699032388849994202615166489553354823920553984
-
The
square root of 137428510699296144 is 370713515.6684958849 -
The
cube root of 137428510699296144 is 516050.5913320103
Scales and comparisons
How big is 137428510699296144?- 137,428,510,699,296,144 seconds is equal to 4,369,801,545 years, 49 weeks, 8 hours, 2 minutes, 24 seconds.
-
To count from 1 to 137,428,510,699,296,144 would take you about thirteen billion, one hundred nine million, four hundred four thousand, six hundred thirty-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 137428510699296144 cubic inches would be around 43004.2 feet tall.
Recreational maths with 137428510699296144
- 137428510699296144 backwards is 441692996015824731
- 137428510699296144 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137428510699296144's digits is 81
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 137428510699296144 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 137428510699296144 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/137428510699296144/
Chicago style:
Numbermatics. 2024. "Number 137428510699296144 - Facts about the integer". https://numbermatics.com/n/137428510699296144/
The information we have on file for 137428510699296144 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 137428510699296144, math, Factors of 137428510699296144, curriculum, school, college, exams, university, Prime factorization of 137428510699296144, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, four hundred twenty-eight trillion, five hundred ten billion, six hundred ninety-nine million, two hundred ninety-six thousand, one hundred forty-four.