137253887767685120
137,253,887,767,685,120 is an even composite number composed of seven prime numbers multiplied together.
137253887767685120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137253887767685120:
211 × 5 × 23 × 31 × 37 × 443 × 1146911
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 23 × 31 × 37 × 443 × 1146911)See below for interesting mathematical facts about the number 137253887767685120 from the Numbermatics database.
Names of 137253887767685120
- Cardinal: 137253887767685120 can be written as One hundred thirty-seven quadrillion, two hundred fifty-three trillion, eight hundred eighty-seven billion, seven hundred sixty-seven million, six hundred eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3725388776768512 × 1017
Factors of 137253887767685120
Divisors of 137253887767685120
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 31 32 37 40 46 62 64 74 80 92 115 124 128 148 155 160 184 185 230 248 256 296 310 320 368 370 443 460 496 512 592 620 640 713 736 740 851 886 920 992 1024 1147 1184 1240 1280 1426 1472 1480 1702 1772 1840 1984 2048 2215 2294 2368 2480 2560 2852 2944 2960 3404 3544 3565 3680 3968 4255 4430 4588 4736 4960 5120 5704 5735 5888 5920 6808 7088 7130 7360 7936 8510 8860 9176 9472 9920 10189 10240 11408 11470 11776 11840 13616 13733 14176 14260 14720 15872 16391 17020 17720 18352 18944 19840 20378 22816 22940 23552 23680 26381 27232 27466 28352 28520 29440 31744 32782 34040 35440 36704 37888 39680 40756 45632 45880 47104 47360 50945 52762 54464 54932 56704 57040 58880 63488 65564 68080 68665 70880 73408 75776 79360 81512 81955 91264 91760 94720 101890 105524 108928 109864 113408 114080 117760 131128 131905 136160 137330 141760 146816 158720 163024 163910 182528 183520 189440 203780 211048 217856 219728 226816 228160 235520 262256 263810 272320 274660 283520 293632 315859 317440 326048 327820 365056 367040 376993 378880 407560 422096 435712 439456 453632 456320 508121 524512 527620 544640 549320 567040 587264 631718 652096 655640 730112 734080 753986 815120 844192 871424 878912 907264 912640 1016242 1049024 1055240 1089280 1098640 1134080 1146911 1174528 1263436 1304192 1311280 1460224 1468160 1507972 1579295 1630240 1688384 1742848 1757824 1825280 1884965 2032484 2098048 2110480 2178560 2197280 2268160 2293822 2349056 2526872 2540605 2608384 2622560 2936320 3015944 3158590 3260480 3376768 3515648 3650560 3769930 4064968 4196096 4220960 4357120 4394560 4536320 4587644 5053744 5081210 5216768 5245120 5734555 5872640 6031888 6317180 6520960 6753536 7031296 7301120 7539860 8129936 8392192 8441920 8714240 8789120 9175288 10107488 10162420 10433536 10490240 11469110 11686783 11745280 12063776 12634360 13041920 13507072 14062592 15079720 16259872 16784384 16883840 17578240 18350576 20214976 20324840 20867072 20980480 22938220 23373566 24127552 25268720 26083840 26378953 27014144 28125184 30159440 32519744 33568768 33767680 35156480 35554241 36701152 40429952 40649680 41960960 42435707 45876440 46747132 48255104 50537440 52167680 52757906 54028288 58433915 60318880 65039488 67535360 70312960 71108482 73402304 80859904 81299360 83921920 84871414 91752880 93494264 96510208 101074880 104335360 105515812 116867830 120637760 130078976 131894765 135070720 140625920 142216964 146804608 161719808 162598720 167843840 169742828 177771205 183505760 186988528 193020416 202149760 211031624 212178535 233735660 241275520 260157952 263789530 270141440 284433928 293609216 323439616 325197440 339485656 355542410 367011520 373977056 386040832 404299520 422063248 424357070 467471320 482551040 508081573 520315904 527579060 568867856 587218432 646879232 650394880 678971312 711084820 734023040 747954112 772081664 808599040 817747543 844126496 848714140 934942640 965102080 976021261 1016163146 1040631808 1055158120 1137735712 1174436864 1300789760 1315506917 1357942624 1422169640 1468046080 1495908224 1617198080 1635495086 1688252992 1697428280 1869885280 1930204160 1952042522 2032326292 2110316240 2275471424 2348873728 2540407865 2601579520 2631013834 2715885248 2844339280 2936092160 2991816448 3234396160 3270990172 3376505984 3394856560 3739770560 3860408320 3904085044 4064652584 4088737715 4220632480 4550942848 4880106305 5080815730 5203159040 5262027668 5431770496 5688678560 5872184320 5983632896 6541980344 6577534585 6753011968 6789713120 7479541120 7808170088 8129305168 8177475430 8441264960 9101885696 9760212610 10161631460 10524055336 10863540992 11377357120 11685876179 11744368640 11967265792 13083960688 13155069170 13506023936 13579426240 14959082240 15616340176 15750528763 16258610336 16354950860 16882529920 18203771392 18799018201 19520425220 20323262920 21048110672 21727081984 22754714240 23371752358 23934531584 26167921376 26310138340 27012047872 27158852480 29918164480 30256659091 31232680352 31501057526 32517220672 32709901720 33765059840 36407542784 37598036402 39040850440 40646525840 42096221344 43454163968 45509428480 46743504716 52335842752 52620276680 54024095744 54317704960 58429380895 59836328960 60513318182 62465360704 63002115052 65034441344 65419803440 67530119680 72815085568 75196072804 78081700880 78752643815 81293051680 84192442688 86908327936 91018856960 93487009432 93995091005 104671685504 105240553360 108635409920 116858761790 119672657920 121026636364 124930721408 126004230104 130068882688 130839606880 135060239360 150392145608 151283295455 156163401760 157505287630 162586103360 168384885376 182037713920 186974018864 187990182010 209343371008 210481106720 217270819840 233717523580 242053272728 249861442816 252008460208 260137765376 261679213760 270120478720 300784291216 302566590910 312326803520 315010575260 325172206720 336769770752 362262161549 364075427840 373948037728 375980364020 418686742016 420962213440 432377418623 434541639680 467435047160 484106545456 499722885632 504016920416 520275530752 523358427520 582769564231 601568582432 605133181820 624653607040 630021150520 650344413440 673539541504 724524323098 747896075456 751960728040 837373484032 841924426880 864754837246 934870094320 968213090912 999445771264 1008033840832 1040551061504 1046716855040 1165539128462 1203137164864 1210266363640 1249307214080 1260042301040 1300688826880 1347079083008 1449048646196 1495792150912 1503921456080 1674746968064 1683848853760 1729509674492 1811310807745 1869740188640 1936426181824 1998891542528 2016067681664 2093433710080 2161887093115 2331078256924 2406274329728 2420532727280 2498614428160 2520084602080 2601377653760 2694158166016 2898097292392 2913847821155 2991584301824 3007842912160 3367697707520 3459019348984 3622621615490 3739480377280 3872852363648 4032135363328 4186867420160 4323774186230 4662156513848 4812548659456 4841065454560 4997228856320 5040169204160 5202755307520 5796194584784 5827695642310 5983168603648 6015685824320 6735395415040 6918038697968 7245243230980 7478960754560 7745704727296 8064270726656 8373734840320 8647548372460 9324313027696 9625097318912 9682130909120 9994457712640 10080338408320 11592389169568 11655391284620 11966337207296 12031371648640 13403699977313 13470790830080 13836077395936 14490486461960 14957921509120 15491409454592 16128541453312 17295096744920 18648626055392 19250194637824 19364261818240 20160676816640 23184778339136 23310782569240 23932674414592 24062743297280 26807399954626 27672154791872 28980972923920 29915843018240 30982818909184 32257082906624 34590193489840 37297252110784 38500389275648 38728523636480 40321353633280 46369556678272 46621565138480 48125486594560 53614799909252 55344309583744 57961945847840 59831686036480 61965637818368 67018499886565 69180386979680 74594504221568 77457047272960 80642707266560 92739113356544 93243130276960 96250973189120 107229599818504 110688619167488 115923891695680 119663372072960 134036999773130 138360773959360 149189008443136 154914094545920 161285414533120 185478226713088 186486260553920 192501946378240 214459199637008 221377238334976 231847783391360 268073999546260 276721547918720 298378016886272 309828189091840 370956453426176 372972521107840 428918399274016 442754476669952 463695566782720 536147999092520 553443095837440 596756033772544 741912906852352 745945042215680 857836798548032 885508953339904 927391133565440 1072295998185040 1106886191674880 1193512067545088 1491890084431360 1715673597096064 1854782267130880 2144591996370080 2213772383349760 2983780168862720 3431347194192128 3709564534261760 4289183992740160 4427544766699520 5967560337725440 6862694388384256 8578367985480320 13725388776768512 17156735970960640 27450777553537024 34313471941921280 68626943883842560 137253887767685120
- Sum of all divisors σ(n): 365143050943856640
- Sum of proper divisors (its aliquot sum) s(n): 227889163176171520
- 137253887767685120 is an abundant number, because the sum of its proper divisors (227889163176171520) is greater than itself. Its abundance is 90635275408486400
Bases of 137253887767685120
- Binary: 1111001111001111110101111000010000110111100101000000000002
- Hexadecimal: 0x1E79FAF086F2800
- Base-36: 11JGFXKQIIGW
Squares and roots of 137253887767685120
- 137253887767685120 squared (1372538877676851202) is 18838629707344303013463323469414400
- 137253887767685120 cubed (1372538877676851203) is 2585675167548813743421830618322405106989009993728000
-
The
square root of 137253887767685120 is 370477918.0567785473 -
The
cube root of 137253887767685120 is 515831.9262205019
Scales and comparisons
How big is 137253887767685120?- 137,253,887,767,685,120 seconds is equal to 4,364,249,076 years, 44 weeks, 5 days, 20 hours, 5 minutes, 20 seconds.
-
To count from 1 to 137,253,887,767,685,120 would take you about thirteen billion, ninety-two million, seven hundred forty-seven thousand, two hundred thirty 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 137253887767685120 cubic inches would be around 42986 feet tall.
Recreational maths with 137253887767685120
- 137253887767685120 backwards is 021586767788352731
- The number of decimal digits it has is: 18
- The sum of 137253887767685120's digits is 86
- More coming soon!
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The information we have on file for 137253887767685120 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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