137204421672921977056000
137,204,421,672,921,977,056,000 is an even composite number composed of seven prime numbers multiplied together.
137204421672921977056000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137204421672921977056000:
28 × 53 × 17 × 29 × 97 × 479 × 187181947837
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 29 × 97 × 479 × 187181947837)See below for interesting mathematical facts about the number 137204421672921977056000 from the Numbermatics database.
Names of 137204421672921977056000
- Cardinal: 137204421672921977056000 can be written as One hundred thirty-seven sextillion, two hundred four quintillion, four hundred twenty-one quadrillion, six hundred seventy-two trillion, nine hundred twenty-one billion, nine hundred seventy-seven million, fifty-six thousand.
Scientific notation
- Scientific notation: 1.37204421672921977056 × 1023
Factors of 137204421672921977056000
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 187181948466
Divisors of 137204421672921977056000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 29 32 34 40 50 58 64 68 80 85 97 100 116 125 128 136 145 160 170 194 200 232 250 256 272 290 320 340 388 400 425 464 479 485 493 500 544 580 640 680 725 776 800 850 928 958 970 986 1000 1088 1160 1280 1360 1450 1552 1600 1649 1700 1856 1916 1940 1972 2000 2125 2176 2320 2395 2425 2465 2720 2813 2900 3104 3200 3298 3400 3625 3712 3832 3880 3944 4000 4250 4352 4640 4790 4850 4930 5440 5626 5800 6208 6400 6596 6800 7250 7424 7664 7760 7888 8000 8143 8245 8500 9280 9580 9700 9860 10880 11252 11600 11975 12125 12325 12416 13192 13600 13891 14065 14500 15328 15520 15776 16000 16286 16490 17000 18560 19160 19400 19720 21760 22504 23200 23950 24250 24650 24832 26384 27200 27782 28130 29000 30656 31040 31552 32000 32572 32980 34000 37120 38320 38800 39440 40715 41225 45008 46400 46463 47821 47900 48500 49300 52768 54400 55564 56260 58000 59875 61312 61625 62080 63104 65144 65960 68000 69455 70325 76640 77600 78880 81430 82450 90016 92800 92926 95642 95800 97000 98600 105536 108800 111128 112520 116000 119750 122624 123250 124160 126208 130288 131920 136000 138910 140650 153280 155200 157760 162860 164900 180032 185600 185852 191284 191600 194000 197200 203575 206125 211072 222256 225040 232000 232315 236147 239105 239500 246500 260576 263840 272000 277820 281300 306560 310400 315520 325720 329800 347275 351625 360064 371704 382568 383200 388000 394400 407150 412250 422144 444512 450080 464000 464630 472294 478210 479000 493000 521152 527680 544000 555640 562600 613120 620800 631040 651440 659600 694550 703250 720128 743408 765136 766400 776000 788800 789871 814300 824500 889024 900160 928000 929260 944588 956420 958000 986000 1017875 1042304 1055360 1111280 1125200 1161575 1180735 1195525 1302880 1319200 1347427 1389100 1406500 1486816 1530272 1532800 1552000 1577600 1579742 1628600 1649000 1736375 1778048 1800320 1858520 1889176 1912840 1916000 1972000 2035750 2084608 2110720 2222560 2250400 2323150 2361470 2391050 2605760 2638400 2694854 2778200 2813000 2973632 3060544 3065600 3104000 3155200 3159484 3257200 3298000 3472750 3556096 3600640 3717040 3778352 3825680 3832000 3944000 3949355 4071500 4445120 4500800 4646300 4722940 4782100 5211520 5276800 5389708 5556400 5626000 5807875 5903675 5947264 5977625 6121088 6318968 6514400 6596000 6737135 6945500 7434080 7556704 7651360 7664000 7888000 7898710 8143000 8890240 9001600 9292600 9445880 9564200 10423040 10553600 10779416 11112800 11252000 11615750 11807350 11894528 11955250 12242176 12637936 13028800 13192000 13474270 13891000 14868160 15113408 15302720 15328000 15776000 15797420 16286000 17780480 18003200 18585200 18891760 19128400 19746775 21558832 22225600 22504000 22906259 23231500 23614700 23910500 25275872 26057600 26384000 26948540 27782000 29518375 29736320 30226816 30605440 31594840 32572000 33685675 37170400 37783520 38256800 39493550 43117664 44451200 45008000 45812518 46463000 47229400 47821000 50551744 52115200 52768000 53897080 55564000 59036750 59472640 60453632 61210880 63189680 65144000 67371350 74340800 75567040 76513600 78987100 86235328 88902400 90016000 91625036 92926000 94458800 95642000 98733875 101103488 107794160 111128000 114531295 118073500 126379360 130288000 134742700 148681600 151134080 153027200 157974200 168428375 172470656 183250072 185852000 188917600 191284000 197467750 202206976 215588320 222256000 229062590 236147000 252758720 260576000 269485400 297363200 302268160 306054400 315948400 336856750 344941312 366500144 371704000 377835200 382568000 394935500 431176640 444512000 458125180 472294000 505517440 538970800 572656475 631896800 673713500 733000288 743408000 755670400 765136000 789871000 862353280 916250360 944588000 1011034880 1077941600 1145312950 1263793600 1347427000 1466000576 1486816000 1511340800 1530272000 1579742000 1724706560 1832500720 1889176000 2155883200 2290625900 2527587200 2694854000 2863282375 2932001152 3159484000 3665001440 3778352000 4311766400 4581251800 5055174400 5389708000 5726564750 5864002304 6318968000 7330002880 7556704000 8623532800 9162503600 10779416000 11453129500 12637936000 14660005760 18325007200 21558832000 22906259000 25275872000 29320011520 36650014400 43117664000 45812518000 73300028800 91625036000 146600057600 183250072000 187181947837 366500144000 374363895674 733000288000 748727791348 935909739185 1497455582696 1871819478370 2994911165392 3182093113229 3743638956740 4679548695925 5428276487273 5989822330784 6364186226458 7487277913480 9359097391850 10856552974546 11979644661568 12728372452916 14974555826960 15910465566145 18156648940189 18718194783700 21713105949092 23397743479625 23959289323136 25456744905832 27141382436365 29949111653920 31820931132290 36313297880378 37436389567400 43426211898184 46795486959250 47918578646272 50913489811664 54282764872730 59898223307840 63641862264580 72626595760756 74872779134800 79552327830725 86852423796368 89660153013923 90783244700945 92280700283641 93590973918500 101826979623328 108565529745460 119796446615680 127283724529160 135706912181825 145253191521512 149745558269600 159104655661450 173704847592736 179320306027846 181566489401890 184561400567282 187181947837000 203653959246656 217131059490920 239592893231360 254567449058320 271413824363650 290506383043024 299491116539200 308663031983213 318209311322900 347409695185472 358640612055692 363132978803780 369122801134564 374363895674000 397761639153625 407307918493312 434262118981840 448300765069615 453916223504725 461403501418205 509134898116640 526542819265481 542827648727300 581012766086048 598982233078400 617326063966426 636418622645800 678534560909125 694819390370944 717281224111384 726265957607560 738245602269128 748727791348000 795523278307250 814615836986624 868524237963680 896601530139230 907832447009450 922807002836410 1018269796233280 1053085638530962 1085655297454600 1162025532172096 1197964466156800 1234652127932852 1272837245291600 1357069121818250 1389638780741888 1434562448222768 1452531915215120 1476491204538256 1497455582696000 1524222601236691 1543315159916065 1591046556614500 1737048475927360 1793203060278460 1815664894018900 1845614005672820 2036539592466560 2106171277061924 2171310594909200 2241503825348075 2269581117523625 2307017507091025 2324051064344192 2469304255865704 2545674490583200 2600144437403767 2632714096327405 2714138243636500 2869124896445536 2905063830430240 2952982409076512 2994911165392000 3048445202473382 3086630319832130 3182093113229000 3474096951854720 3586406120556920 3631329788037800 3691228011345640 4073079184933120 4212342554123848 4342621189818400 4483007650696150 4539162235047250 4614035014182050 4648102128688384 4938608511731408 5091348981166400 5200288874807534 5265428192654810 5428276487273000 5738249792891072 5810127660860480 5905964818153024 5989822330784000 6096890404946764 6173260639664260 6364186226458000 6948193903709440 7172812241113840 7262659576075600 7382456022691280 7621113006183455 7716575799580325 8424685108247696 8685242379636800 8697034842350531 8951227927513177 8966015301392300 9078324470094500 9228070028364100 9877217023462816 10182697962332800 10400577749615068 10530856385309620 10856552974546000 11207519126740375 11476499585782144 11535087535455125 11620255321720960 11811929636306048 12193780809893528 12346521279328520 12728372452916000 13000722187018835 13163570481637025 14345624482227680 14525319152151200 14764912045382560 15242226012366910 15433151599160650 16849370216495392 17370484759273600 17394069684701062 17902455855026354 17932030602784600 18156648940189000 18456140056728200 19754434046925632 20365395924665600 20801155499230136 21061712770619240 21713105949092000 22415038253480750 22952999171564288 23070175070910250 23240510643441920 23623859272612096 24387561619787056 24693042558657040 25456744905832000 26001444374037670 26327140963274050 28691248964455360 29050638304302400 29529824090765120 30484452024733820 30866303198321300 33698740432990784 34740969518547200 34788139369402124 35804911710052708 35864061205569200 36313297880378000 36912280113456400 38105565030917275 38582878997901625 39508868093851264 41602310998460272 42123425541238480 43426211898184000 43485174211752655 44202455435864039 44756139637565885 44830076506961500 46140350141820500 48775123239574112 49386085117314080 50913489811664000 52002888748075340 52654281926548100 57382497928910720 58101276608604800 59059648181530240 60968904049467640 61732606396642600 65003610935094175 65817852408185125 67397480865981568 69576278738804248 71609823420105416 71728122411138400 72626595760756000 73824560226912800 76211130061834550 77165757995803250 79017736187702528 83204621996920544 84246851082476960 86852423796368000 86970348423505310 88404910871728078 89512279275131770 89660153013923000 92280700283641000 97550246479148224 98772170234628160 101826979623328000 104005777496150680 105308563853096200 114764995857821440 116202553217209600 118119296363060480 121937808098935280 123465212793285200 130007221870188350 131635704816370250 134794961731963136 139152557477608496 143219646840210832 143456244822276800 145253191521512000 147649120453825600 147849592319959027 152422260123669100 154331515991606500 166409243993841088 168493702164953920 173704847592736000 173940696847010620 176809821743456156 179024558550263540 179320306027846000 184561400567282000 190527825154586375 195100492958296448 197544340469256320 208011554992301360 210617127706192400 217425871058763275 221012277179320195 223780698187829425 243875616197870560 246930425586570400 252214010428165399 260014443740376700 263271409632740500 278305114955216992 286439293680421664 286912489644553600 290506383043024000 295298240907651200 295699184639918054 304844520247338200 308663031983213000 325018054675470875 332818487987682176 336987404329907840 347881393694021240 353619643486912312 358049117100527080 358640612055692000 369122801134564000 381055650309172750 390200985916592896 395088680938512640 416023109984602720 421234255412384800 434851742117526550 442024554358640390 447561396375658850 487751232395741120 493860851173140800 504428020856330798 520028887480753400 526542819265481000 556610229910433984 572878587360843328 573824979289107200 581012766086048000 590596481815302400 591398369279836108 609689040494676400 617326063966426000 650036109350941750 665636975975364352 673974808659815680 695762787388042480 707239286973824624 716098234201054160 717281224111384000 738245602269128000 739247961599795135 762111300618345500 832046219969205440 842468510824769600 869703484235053100 884049108717280780 895122792751317700 975502464791482240 987721702346281600 1008856041712661596 1040057774961506800 1053085638530962000 1087129355293816375 1105061385896600975 1113220459820867968 1118903490939147125 1145757174721686656 1182796738559672216 1219378080989352800 1234652127932852000 1261070052140826995 1300072218701883500 1391525574776084960 1414478573947649248 1432196468402108320 1434562448222768000 1476491204538256000 1478495923199590270 1524222601236691000 1664092439938410880 1684937021649539200 1739406968470106200 1768098217434561560 1790245585502635400 1951004929582964480 1975443404692563200 2017712083425323192 2080115549923013600 2106171277061924000 2174258710587632750 2210122771793201950 2226440919641735936 2237806981878294250 2291514349443373312 2365593477119344432 2438756161978705600 2469304255865704000 2522140104281653990 2600144437403767000 2783051149552169920 2828957147895298496 2864392936804216640 2869124896445536000 2952982409076512000 2956991846399180540 3048445202473382000 3328184879876821760 3369874043299078400 3478813936940212400 3536196434869123120 3580491171005270800 3696239807998975675 4035424166850646384 4160231099846027200 4212342554123848000 4287638177278811783 4348517421175265500 4420245543586403900 4475613963756588500 4731186954238688864 4877512323957411200 4938608511731408000 5044280208563307980 5200288874807534000 5525306929483004875 5566102299104339840 5657914295790596992 5728785873608433280 5913983692798361080 6096890404946764000 6305350260704134975 6957627873880424800 7072392869738246240 7160982342010541600 7392479615997951350 8070848333701292768 8320462199692054400 8424685108247696000 8575276354557623566 8697034842350531000 8840491087172807800 8951227927513177000 9462373908477377728 9755024647914822400 9877217023462816000 10088560417126615960 10400577749615068000 11050613858966009750 11132204598208679680 11315828591581193984 11457571747216866560 11827967385596722160 12193780809893528000 12610700521408269950 13915255747760849600 14144785739476492480 14321964684021083200 14784959231995902700 16141696667402585536 16640924399384108800 16849370216495392000 17150552709115247132 17394069684701062000 17680982174345615600 17902455855026354000 18481199039994878375 18924747816954755456 20177120834253231920 20801155499230136000 21438190886394058915 22101227717932019500 23655934771193444320 24387561619787056000 25221401042816539900 27830511495521699200 28289571478952984960 28643929368042166400 29569918463991805400 31526751303520674875 32283393334805171072 34301105418230494264 34788139369402124000 35361964348691231200 35804911710052708000 36962398079989756750 37849495633909510912 40354241668506463840 41602310998460272000 42876381772788117830 44202455435864039000 47311869542386888640 48775123239574112000 50442802085633079800 55661022991043398400 56579142957905969920 57287858736084332800 59139836927983610800 63053502607041349750 64566786669610342144 68602210836460988528 69576278738804248000 70723928697382462400 71609823420105416000 73924796159979513500 80708483337012927680 83204621996920544000 85752763545576235660 88404910871728078000 94623739084773777280 100885604171266159600 107190954431970294575 118279673855967221600 126107005214082699500 137204421672921977056 139152557477608496000 141447857394764924800 143219646840210832000 147849592319959027000 161416966674025855360 171505527091152471320 176809821743456156000 189247478169547554560 201771208342532319200 214381908863940589150 236559347711934443200 252214010428165399000 274408843345843954112 278305114955216992000 282895714789529849600 286439293680421664000 295699184639918054000 322833933348051710720 343011054182304942640 353619643486912312000 403542416685064638400 428763817727881178300 473118695423868886400 504428020856330798000 535954772159851472875 548817686691687908224 591398369279836108000 686022108364609885280 707239286973824624000 807084833370129276800 857527635455762356600 946237390847737772800 1008856041712661596000 1071909544319702945750 1097635373383375816448 1182796738559672216000 1372044216729219770560 1414478573947649248000 1614169666740258553600 1715055270911524713200 2017712083425323192000 2143819088639405891500 2365593477119344432000 2744088433458439541120 3430110541823049426400 4035424166850646384000 4287638177278811783000 4731186954238688864000 5488176866916879082240 6860221083646098852800 8070848333701292768000 8575276354557623566000 13720442167292197705600 17150552709115247132000 27440884334584395411200 34301105418230494264000 68602210836460988528000 137204421672921977056000
- Sum of all divisors σ(n): 379027336541737969612800
- Sum of proper divisors (its aliquot sum) s(n): 241822914868815992556800
- 137204421672921977056000 is an abundant number, because the sum of its proper divisors (241822914868815992556800) is greater than itself. Its abundance is 104618493195894015500800
Bases of 137204421672921977056000
- Binary: 111010000110111011101110110011010101101010111010111010010011111101011000000002
- Hexadecimal: 0x1D0DDDD9AB575D27EB00
- Base-36: MCBYVF6XTZ6HS74
Squares and roots of 137204421672921977056000
- 137204421672921977056000 squared (1372044216729219770560002) is 18825053326600981933111516356955790427136000000
- 137204421672921977056000 cubed (1372044216729219770560003) is 2582880554638203726884988769048486884797310680071555831791616000000000
-
The
square root of 137204421672921977056000 is 370411152198.3672362767 -
The
cube root of 137204421672921977056000 is 51576995.0424392619
Scales and comparisons
How big is 137204421672921977056000?- 137,204,421,672,921,977,056,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,204,421,672,921,977,056,000 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 137204421672921977056000 cubic inches would be around 4298082.9 feet tall.
Recreational maths with 137204421672921977056000
- 137204421672921977056000 backwards is 000650779129276124402731
- 137204421672921977056000 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 137204421672921977056000's digits is 85
- 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 137204421672921977056000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
APA style:
Numbermatics. (2024). Number 137204421672921977056000 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/137204421672921977056000/
Chicago style:
Numbermatics. 2024. "Number 137204421672921977056000 - Facts about the integer". https://numbermatics.com/n/137204421672921977056000/
The information we have on file for 137204421672921977056000 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 137204421672921977056000, math, Factors of 137204421672921977056000, curriculum, school, college, exams, university, Prime factorization of 137204421672921977056000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven sextillion, two hundred four quintillion, four hundred twenty-one quadrillion, six hundred seventy-two trillion, nine hundred twenty-one billion, nine hundred seventy-seven million, fifty-six thousand.