137021404405001712992
137,021,404,405,001,712,992 is an even composite number composed of six prime numbers multiplied together.
What does the number 137021404405001712992 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
137021404405001712992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 137021404405001712992:
25 × 113 × 312 × 1812 × 1912 × 2801
(2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 31 × 31 × 181 × 181 × 191 × 191 × 2801)See below for interesting mathematical facts about the number 137021404405001712992 from the Numbermatics database.
Names of 137021404405001712992
- Cardinal: 137021404405001712992 can be written as One hundred thirty-seven quintillion, twenty-one quadrillion, four hundred four trillion, four hundred five billion, one million, seven hundred twelve thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.37021404405001712992 × 1020
Factors of 137021404405001712992
Divisors of 137021404405001712992
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 4 8 11 16 22 31 32 44 62 88 121 124 176 181 191 242 248 341 352 362 382 484 496 682 724 764 961 968 992 1331 1364 1448 1528 1922 1936 1991 2101 2662 2728 2801 2896 3056 3751 3844 3872 3982 4202 5324 5456 5602 5611 5792 5921 6112 7502 7688 7964 8404 10571 10648 10912 11204 11222 11842 15004 15376 15928 16808 21142 21296 21901 22408 22444 23111 23684 30008 30752 30811 31856 32761 33616 34571 36481 41261 42284 42592 43802 44816 44888 46222 47368 60016 61622 61721 63712 65131 65522 67232 69142 72962 82522 84568 86831 87604 89632 89776 92444 94736 116281 120032 123244 123442 130262 131044 138284 145924 165044 169136 173662 173941 175208 179552 183551 184888 189472 232562 240911 246488 246884 254221 260524 262088 276568 291848 330088 338272 338921 347324 347882 350416 360371 367102 369776 380281 401291 465124 481822 492976 493768 506981 508442 521048 524176 534991 553136 583696 660176 677842 678931 694648 695764 700832 716441 720742 734204 739552 760562 802582 930248 955141 963644 985952 987536 1013962 1015591 1016884 1042096 1048352 1069982 1071701 1106272 1130911 1167392 1279091 1320352 1355684 1357862 1389296 1391528 1432882 1441484 1468408 1521124 1605164 1860496 1910282 1913351 1927288 1975072 2019061 2027924 2031182 2033768 2084192 2139964 2143402 2261822 2558182 2691761 2711368 2715724 2778592 2783056 2865764 2882968 2936816 3042248 3210328 3720992 3728131 3820564 3826702 3854576 3964081 4038122 4055848 4062364 4067536 4183091 4279928 4286804 4414201 4523644 5116364 5383522 5422736 5431448 5566112 5576791 5731528 5765936 5873632 5884901 6084496 6257351 6420656 6603061 7456262 7468241 7641128 7653404 7709152 7880851 7928162 8076244 8111696 8124728 8135072 8366182 8559856 8573608 8828402 9047288 10232728 10506551 10767044 10845472 10862896 11153582 11171501 11463056 11531872 11769802 11788711 12168992 12440021 12514702 12841312 13206122 14912524 14936482 15282256 15306808 15716411 15761702 15856324 16152488 16223392 16249456 16584721 16732364 17119712 17147216 17656804 18094576 20465456 21013102 21046861 21534088 21725792 22209671 22307164 22343002 22926112 23539604 23577422 24880042 25029404 26412244 29609371 29825048 29872964 30564512 30613616 31432822 31483321 31523404 31712648 32304976 32498912 33169442 33222731 33464728 34294432 35058241 35313608 36189152 40930912 42026204 42093722 43068176 43604891 44419342 44614328 44686004 46014001 47079208 47154844 48556211 49760084 50058808 52824488 59218742 59650096 59745928 61227232 61344701 62865644 62966642 63046808 63425296 64609952 64733911 66338884 66445462 66929456 68830861 70116482 70627216 72633671 84052408 84187444 86136352 87209782 88838684 89228656 89372008 91763561 92028002 94158416 94309688 96833371 97112422 99520168 100117616 102183281 105648976 115572061 118437484 119300192 119491856 122689402 122886511 125731288 125933284 126093616 126850592 129467822 129675821 132677768 132890924 133858912 136840231 137661722 140232964 141254432 145267342 168104816 168374888 172880521 174419564 177677368 178457312 178744016 182431931 183527122 184056004 188316832 188619376 193666742 193977881 194224844 199040336 200235232 204366562 204694891 211297952 231144122 231515471 236874968 238983712 244306381 245378804 245773022 251462576 251866568 252187232 258935644 259351642 265355536 265781848 273680462 275323444 280465928 290534684 325703081 336209632 336749776 345761042 346316531 348839128 355354736 357488032 364863862 365450041 367054244 368112008 377238752 385640651 387333484 387955762 388449688 398080672 408733124 409389782 462288244 463030942 473749936 487208741 488612762 490757608 491546044 502925152 503733136 514126351 517871288 518703284 530711072 531563696 547360924 550646888 560931856 581069368 651406162 673499552 674791711 691522084 692633062 697678256 710709472 712073021 729727724 730900082 734108488 736224016 757139471 771281302 774666968 775911524 776899376 798970381 817466248 818779564 924576488 926061884 947499872 974417482 977225524 981515216 983092088 1007466272 1009399171 1028252702 1035742576 1037406568 1063127392 1065167081 1094721848 1101293776 1121863712 1124016091 1162138736 1195154041 1302812324 1349583422 1351751621 1383044168 1385266124 1395356512 1424146042 1426434031 1459455448 1461800164 1468216976 1472448032 1505242541 1514278942 1542562604 1549333936 1551823048 1553798752 1597940762 1634932496 1637559128 1849152976 1852123768 1901685731 1948834964 1954451048 1963030432 1966184176 2006751241 2018798342 2056505404 2071485152 2074813136 2130334162 2133756691 2189443696 2202587552 2248032182 2251643801 2324277472 2390308082 2605624648 2699166844 2703503242 2766088336 2770532248 2844670391 2848292084 2852868062 2918910896 2923600328 2936433952 3001834501 3010485082 3028557884 3085125208 3098667872 3103646096 3167681711 3195881524 3269864992 3275118256 3582733891 3698305952 3704247536 3803371462 3809481841 3897669928 3908902096 3932368352 4013502482 4019950451 4037596684 4113010808 4149626272 4242047161 4260668324 4267513382 4378887392 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352739128484 353188218416 353755639688 355308508192 363221974621 372227478124 373300150168 374938812512 375541177616 383289487031 385590483322 392792532164 395653664032 396289308976 406893824942 407547527981 420694222432 471618061288 488549198764 497674307768 500661988816 515540867204 516369119222 528322872176 529171659368 543332044681 544023788044 544897799842 557511981136 558407662648 560858884832 573350389691 578454555844 591845563552 592796404336 648474834271 669393377312 670468804016 684302173181 688410234622 705478256968 706376436832 707511279376 726443949242 727611031631 744454956248 746600300336 751082355232 766578974062 767810536141 771180966644 785585064328 792578617952 813787649884 815095055962 943236122576 970032603331 977098397528 995348615536 1001323977632 1023625564841 1031081734408 1032738238444 1056645744352 1058343318736 1080179463451 1086664089362 1088047576088 1089795599684 1115023962272 1116815325296 1146700779382 1148543033401 1156909111688 1185592808672 1296949668542 1340937608032 1368604346362 1376820469244 1410956513936 1415022558752 1452887898484 1455222063262 1488909912496 1493200600672 1533157948124 1535621072282 1542361933288 1571170128656 1590750028571 1627575299768 1630190111924 1886472245152 1940065206662 1954196795056 1990697231072 2047251129682 2062163468816 2065476476888 2116686637472 2120747658271 2160358926902 2173328178724 2176095152176 2179591199368 2233630650592 2237916037181 2293401558764 2297086066802 2313818223376 2593899337084 2737208692724 2753640938488 2821913027872 2905775796968 2910444126524 2977819824992 3066315896248 3071242144564 3084723866576 3142340257312 3181500057142 3255150599536 3260380223848 3347626468841 3786256290421 3880130413324 3908393590112 3995441720831 4094502259364 4124326937632 4130952953776 4216184357341 4241495316542 4320717853804 4346656357448 4352190304352 4359182398736 4475832074362 4483022807791 4586803117528 4594172133604 4627636446752 5187798674168 5474417385448 5507281876976 5811551593936 5820888253048 5976652491491 6132631792496 6142484289128 6169447733152 6306854286601 6363000114284 6510301199072 6520760447696 6695252937682 7572512580842 7760260826648 7990883441662 8003721347941 8189004518728 8261905907552 8432368714682 8445915897551 8482990633084 8641435707608 8693312714896 8718364797472 8951664148724 8966045615582 9173606235056 9188344267208 10375597348336 10670358636641 10948834770896 11014563753952 11259881213251 11623103187872 11641776506096 11881974097961 11953304982982 12265263584992 12284968578256 12613708573202 12633973367411 12726000228568 13041520895392 13390505875364 15145025161684 15520521653296 15981766883324 16007442695882 16378009037456 16843293385111 16864737429364 16891831795102 16965981266168 17282871415216 17386625429792 17773862080421 17903328297448 17932091231164 18347212470112 18376688534416 20751194696672 21340717273282 21897669541792 22519762426502 23283553012192 23328224240981 23763948195922 23906609965964 24569937156512 24617076408991 25227417146404 25267946734822 25452000457136 26781011750728 30290050323368 31041043306592 31963533766648 32014885391764 32756018074912 33686586770222 33729474858728 33783663590204 33931962532336 34565742830432 35547724160842 35806656594896 35864182462328 36753377068832 36823891157251 42681434546564 45039524853004 46656448481962 47527896391844 47813219931928 49234152817982 49313250885701 50454834292808 50535893469644 50904000914272 53562023501456 60580100646736 63927067533296 64029770783528 65743177406401 67373173540444 67458949717456 67567327180408 67863925064672 69375397152611 71095448321684 71613313189792 71728364924656 73647782314502 85362869093128 90079049706008 93312896963924 95055792783688 95626439863856 98468305635964 98626501771402 100909668585616 101071786939288 103776420534071 107124047002912 117373945003051 121160201293472 123858693345761 127854135066592 128059541567056 130701715077571 131486354812802 134746347080888 134917899434912 135134654360816 138750794305222 138973707041521 142190896643368 143456729849312 147295564629004 170725738186256 180158099412016 185276227236221 186625793927848 190111585567376 191252879727712 195512482884631 196936611271928 197253003542804 201819337171232 202143573878576 207552841068142 234747890006102 247717386691522 256119083134112 261403430155142 262972709625604 269492694161776 270269308721632 277501588610444 277947414083042 284381793286736 294591129258008 341451476372512 360316198824032 370552454472442 373251587855696 380223171134752 391024965769262 393873222543856 394506007085608 404287147757152 405062802729761 415105682136284 469495780012204 495434773383044 522806860310284 525945419251208 538985388323552 555003177220888 555894828166084 568763586573472 589182258516016 723174951470411 741104908944884 746503175711392 763129368678721 782049931538524 787746445087712 789012014171216 810125605459522 830211364272568 938991560024408 990869546766088 1045613720620568 1051890838502416 1110006354441776 1111789656332168 1141540625874781 1178364517032032 1446349902940822 1482209817889768 1526258737357442 1528710777456731 1564099863077048 1578024028342432 1620251210919044 1660422728545136 1877983120048816 1981739093532176 2038038499598431 2091227441241136 2103781677004832 2150637311730941 2220012708883552 2223579312664336 2283081251749562 2892699805881644 2964419635779536 3052517474714884 3057421554913462 3128199726154096 3217069036556201 3240502421838088 3320845457090272 3755966240097632 3963478187064352 4076076999196862 4182454882482272 4301274623461882 4447158625328672 4455690830027371 4566162503499124 5785399611763288 5928839271559072 6105034949429768 6114843109826924 6256399452308192 6434138073112402 6481004843676176 8152153998393724 8602549246923764 8911381660054742 9132325006998248 11570799223526576 12210069898859536 12229686219653848 12556946884622591 12868276146224804 12962009687352352 16304307996787448 17205098493847528 17822763320109484 18264650013996496 22418423495582741 23141598447053152 23657010429040351 24420139797719072 24459372439307696 25113893769245182 25736552292449608 32608615993574896 34410196987695056 35387759402118211 35645526640218968 36529300027992992 44836846991165482 47314020858080702 48918744878615392 50227787538490364 51473104584899216 65217231987149792 68820393975390112 70775518804236422 71291053280437936 89673693982330964 94628041716161404 100455575076980728 102946209169798432 138126415730848501 141551037608472844 142582106560875872 179347387964661928 189256083432322808 200911150153961456 276252831461697002 283102075216945688 358694775929323856 378512166864645616 389265353423300321 401822300307922912 552505662923394004 566204150433891376 717389551858647712 757024333729291232 778530706846600642 1105011325846788008 1132408300867782752 1557061413693201284 2210022651693576016 3114122827386402568 4281918887656303531 4420045303387152032 6228245654772805136 8563837775312607062 12456491309545610272 17127675550625214124 34255351101250428248 68510702202500856496 137021404405001712992
- Sum of all divisors σ(n): 310033476603222463728
- Sum of proper divisors (its aliquot sum) s(n): 173012072198220750736
- 137021404405001712992 is an abundant number, because the sum of its proper divisors (173012072198220750736) is greater than itself. Its abundance is 35990667793219037744
Bases of 137021404405001712992
- Binary: 11101101101100011011101000101010101111110010100010101110101011000002
- Hexadecimal: 0x76D8DD155F9457560
- Base-36: SX0VM3LLV3FQ8
Squares and roots of 137021404405001712992
- 137021404405001712992 squared (1370214044050017129922) is 18774865265119022837164149062454341592064
- 137021404405001712992 cubed (1370214044050017129923) is 2572558406141293329823499558819425820624243674429432472895488
-
The
square root of 137021404405001712992 is 11705614225.8747666707 -
The
cube root of 137021404405001712992 is 5155405.1950585147
Scales and comparisons
How big is 137021404405001712992?- 137,021,404,405,001,712,992 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,021,404,405,001,712,992 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 137021404405001712992 cubic inches would be around 429617.1 feet tall.
Recreational maths with 137021404405001712992
- 137021404405001712992 backwards is 299217100504404120731
- 137021404405001712992 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137021404405001712992's digits is 62
- More coming soon!
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"Number 137021404405001712992 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 137021404405001712992 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/137021404405001712992/
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Numbermatics. 2024. "Number 137021404405001712992 - Facts about the integer". https://numbermatics.com/n/137021404405001712992/
The information we have on file for 137021404405001712992 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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