137213226406831200

Names of 137213226406831200

• Cardinal: 137213226406831200 can be written as One hundred thirty-seven quadrillion, two hundred thirteen trillion, two hundred twenty-six billion, four hundred six million, eight hundred thirty-one thousand, two hundred.

Scientific notation

• Scientific notation: 1.372132264068312 × 10¹⁷

Factors of 137213226406831200

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 39379

Divisors of 137213226406831200

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 41 48 50 58 60 75 80 82 87 96 100 116 120 123 127 145 150 160 164 174 200 205 232 240 246 254 290 300 328 348 381 400 410 435 464 480 492 508 580 600 615 635 656 696 725 762 800 820 870 928 984 1016 1025 1160 1189 1200 1230 1270 1312 1392 1450 1524 1640 1740 1905 1968 2032 2050 2175 2320 2378 2400 2460 2540 2784 2900 3048 3075 3175 3280 3480 3567 3683 3810 3936 4064 4100 4350 4640 4756 4920 5080 5207 5800 5945 6096 6150 6350 6560 6960 7134 7366 7620 8200 8700 9512 9525 9840 10160 10414 11049 11600 11890 12192 12300 12700 13920 14268 14732 15240 15621 16400 17351 17400 17835 18415 19024 19050 19680 20320 20828 21821 22098 23200 23780 24600 25400 26035 28536 29464 29725 30480 31242 32800 34702 34800 35670 36830 38048 38100 41656 43642 44196 47560 49200 50800 52053 52070 55245 57072 58928 59450 60960 62484 65463 69404 69600 71340 73660 76200 78105 83312 86755 87284 88392 89175 92075 95120 98400 101600 104106 104140 109105 110490 114144 117856 118900 124968 130175 130926 138808 142680 147320 151003 152400 156210 166624 173510 174568 176784 178350 184150 190240 208212 208280 218210 220980 237800 249936 260265 260350 261852 276225 277616 285360 294640 302006 304800 312420 327315 347020 349136 353568 356700 368300 390525 416424 416560 433775 436420 441960 453009 475600 499872 503179 520530 520700 523704 545525 552450 555232 570720 589280 604012 624840 632809 654630 694040 698272 711391 713400 736600 755015 781050 832848 833120 867550 872840 883920 894661 906018 951200 1006358 1041060 1041400 1047408 1091050 1104900 1208024 1249680 1265618 1301325 1309260 1388080 1422782 1426800 1473200 1509537 1510030 1562100 1636575 1665696 1735100 1745680 1767840 1789322 1812036 1898427 2012716 2082120 2082800 2094816 2134173 2182100 2203577 2209800 2265045 2416048 2499360 2515895 2531236 2602650 2618520 2683983 2771267 2776160 2845564 2853600 2946400 3019074 3020060 3124200 3164045 3273150 3470200 3491360 3556955 3578644 3624072 3775075 3796854 4025432 4164240 4165600 4268346 4364200 4407154 4419600 4473305 4530090 4832096 5031790 5062472 5205300 5237040 5367966 5542534 5691128 6038148 6040120 6248400 6328090 6546300 6610731 6940400 7113910 7157288 7248144 7547685 7550150 7593708 8050864 8313801 8328480 8536692 8728400 8814308 8839200 8946610 9060180 9492135 10063580 10124944 10410600 10474080 10670865 10735932 11017885 11085068 11325225 11382256 12076296 12080240 12496800 12579475 12656180 13092600 13221462 13419915 13856335 13880800 14227820 14314576 14496288 15095370 15100300 15187416 15820225 16101728 16627602 17073384 17456800 17628616 17784775 17893220 18120360 18984270 20127160 20249888 20630339 20821200 21341730 21471864 22035770 22170136 22366525 22650450 22764512 24152592 24160480 25158950 25312360 25945169 26185200 26442924 26839830 27712670 28455640 28629152 30190740 30200600 30374832 31640450 33053655 33255204 34146768 35257232 35569550 35786440 36240720 37738425 37968540 40254320 41260678 41569005 41642400 42683460 42943728 44071540 44340272 44733050 45300900 47460675 48305184 50317900 50624720 51890338 52370400 52885848 53354325 53679660 55089425 55425340 56911280 60381480 60401200 60749664 61891017 63280900 63903733 66107310 66510408 67099575 68293536 69281675 70514464 71139100 71572880 72481440 75476850 75937080 77835507 80366743 80508640 82521356 83138010 85366920 85887456 88143080 88680544 89466100 90346657 90601800 94921350 100635800 101249440 103151695 103780676 105771696 106708650 107359320 110178850 110850680 113621947 113822560 120762960 120802400 123782034 126561800 127807466 129725845 132214620 133020816 134199150 138563350 142278200 143145760 150953700 151874160 155671014 160733486 165042712 165268275 166276020 170733840 176286160 178932200 180693314 181203600 189842700 191711199 201271600 206303390 207561352 207845025 211543392 213417300 214718640 220357700 221701360 227243894 241100229 241525920 247564068 253123600 255614932 259451690 264429240 266041632 268398300 271039971 277126700 284556400 301907400 303748320 309455085 311342028 319518665 321466972 330085424 330536550 332552040 340865841 341467680 352572320 357864400 361386628 362407200 378616171 379685400 383422398 389177535 401833715 402543200 412606780 415122704 415690050 426834600 429437280 440715400 443402720 451733285 454487788 482200458 495128136 506247200 511229864 515758475 518903380 528858480 536796600 542079942 554253400 568109735 569112800 603814800 618910170 622684056 639037330 642933944 648629225 660170848 661073100 665104080 681731682 715728800 722773256 757232342 759370800 766844796 778355070 803667430 825213560 830245408 831380100 853669200 881430800 903466570 908975576 958555995 964400916 990256272 1022459728 1031516950 1037806760 1057716960 1073593200 1084159884 1108506800 1135848513 1136219470 1205501145 1207629600 1237820340 1245368112 1278074660 1285867888 1297258450 1322146200 1330208160 1355199855 1363463364 1445546512 1514464684 1518741600 1533689592 1547275425 1556710140 1597593325 1607334860 1650427120 1662760200 1704329205 1707338400 1762861600 1806933140 1817951152 1893080855 1917111990 1928801832 1945887675 1980512544 2009168575 2044919456 2063033900 2075613520 2147186400 2168319768 2217013600 2258666425 2271697026 2272438940 2411002290 2475640680 2490736224 2556149320 2571735776 2594516900 2620053053 2644292400 2710399710 2726926728 2840548675 2891093024 3028929368 3067379184 3094550850 3113420280 3195186650 3214669720 3295036463 3300854240 3325520400 3408658410 3613866280 3635902304 3786161710 3834223980 3857603664 3891775350 4018337150 4126067800 4151227040 4336639536 4517332850 4543394052 4544877880 4792779975 4822004580 4951281360 5112298640 5189033800 5240106106 5288584800 5420799420 5453853456 5679242565 5681097350 6027505725 6057858736 6134758368 6189101700 6226840560 6390373300 6429339440 6590072926 6651040800 6775999275 6817316820 7227732560 7572323420 7668447960 7715207328 7783550700 7860159159 8036674300 8252135600 8521646025 8673279072 9034665700 9086788104 9089755760 9465404275 9585559950 9644009160 9885109389 9902562720 10224597280 10378067600 10480212212 10841598840 10907706912 10979868959 11358485130 11362194700 12055011450 12115717472 12378203400 12453681120 12780746600 12858678880 13100265265 13180145852 13551998550 13634633640 14455465120 15144646840 15336895920 15523263011 15567101400 15720318318 16073348600 16475182315 16504271200 17043292050 18069331400 18173576208 18179511520 18930808550 19171119900 19288018320 19770218778 20756135200 20960424424 21683197680 21959737918 22716970260 22724389400 24110022900 24756406800 25561493200 26200530530 26360291704 27103997100 27269267280 28396212825 30289293680 30673791840 31046526022 31134202800 31440636636 32146697200 32939606877 32950364630 34086584100 36138662800 36347152416 37861617100 38342239800 38576036640 39300795795 39540437556 41920848848 43366395360 43919475836 45433940520 45448778800 46569789033 48084253717 48220045800 49425546945 49512813600 51122986400 52401061060 52720583408 54207994200 54538534560 54899344795 56792425650 60578587360 62093052044 62268405600 62881273272 64293394400 65501326325 65879213754 65900729260 68173168200 72277325600 75723234200 76684479600 77616315055 78601591590 79080875112 82375911575 83841697696 87838951672 90867881040 90897557600 93139578066 96168507434 96440091600 98851093890 104802122120 105441166816 108415988400 109798689590 113584851300 124186104088 125762546544 131002652650 131758427508 131801458520 136346336400 144252761151 151446468400 153368959200 155232630110 157203183180 158161750224 164698034385 164751823150 175677903344 181735762080 186279156132 192337014868 192880183200 196503978975 197702187780 209604244240 216831976800 219597379180 227169702600 232848945165 240421268585 247127734725 248372208176 251525093088 262005305300 263516855016 263602917040 272692672800 274496723975 288505522302 302892936800 310465260220 314406366360 316323500448 329396068770 329503646300 351355806688 372558312264 384674029736 388081575275 393007957950 395404375560 419208488480 439194758360 450174627319 454339405200 465697890330 480842537170 494255469450 496744416352 524010610600 527033710032 527205834080 548993447950 577011044604 620930520440 628812732720 658792137540 659007292600 721263805755 745116624528 769348059472 776163150550 786015915900 790808751120 823490171925 878389516720 900349254638 908678810400 931395780660 961685074340 988510938900 1048021221200 1054067420064 1097986895900 1154022089208 1164244725825 1202106342925 1241861040880 1257625465440 1317584275080 1318014585200 1350523881957 1394443357793 1442527611510 1490233249056 1538696118944 1552326301100 1572031831800 1581617502240 1646980343850 1756779033440 1800698509276 1862791561320 1923370148680 1971454402397 1977021877800 2096042442400 2195973791800 2250873136595 2308044178416 2328489451650 2404212685850 2483722081760 2635168550160 2636029170400 2701047763914 2788886715586 2885055223020 3104652602200 3144063663600 3293960687700 3601397018552 3606319028775 3725583122640 3846740297360 3942908804794 3954043755600 4183330073379 4391947583600 4501746273190 4616088356832 4656978903300 4808425371700 5270337100320 5402095527828 5577773431172 5770110446040 5914363207191 6209305204400 6288127327200 6587921375400 6752619409785 6972216788965 7202794037104 7212638057550 7451166245280 7693480594720 7885817609588 7908087511200 8366660146758 8783895167200 9003492546380 9313957806600 9616850743400 9857272011985 10804191055656 11155546862344 11254365682975 11540220892080 11828726414382 12418610408800 13175842750800 13505238819570 13944433577930 14405588074208 14425276115100 15771635219176 16733320293516 18006985092760 18627915613200 19233701486800 19714544023970 20916650366895 21608382111312 22311093724688 22508731365950 23080441784160 23657452828764 26351685501600 27010477639140 27888867155860 28850552230200 29571816035955 31543270438352 33466640587032 33763097048925 34861083944825 36013970185520 37255831226400 38467402973600 39429088047940 41833300733790 43216764222624 44622187449376 45017462731900 47314905657528 49286360059925 54020955278280 55777734311720 57172177669513 57701104460400 59143632071910 63086540876704 66933281174064 67526194097850 69722167889650 72027940371040 78858176095880 83666601467580 90034925463800 94629811315056 98572720119850 104583251834475 108041910556560 111555468623440 114344355339026 115402208920800 118287264143820 133866562348128 135052388195700 139444335779300 147859080179775 157716352191760 167333202935160 171516533008539 180069850927600 189259622630112 197145440239700 209166503668950 216083821113120 223110937246880 228688710678052 236574528287640 270104776391400 278888671558600 285860888347565 295718160359550 315432704383520 334666405870320 343033066017078 360139701855200 394290880479400 418333007337900 457377421356104 473149056575280 540209552782800 557777343117200 571721776695130 591436320719100 669332811740640 686066132034156 788581760958800 836666014675800 857582665042695 914754842712208 946298113150560 1080419105565600 1115554686234400 1143443553390260 1182872641438200 1372132264068312 1429304441737825 1577163521917600 1673332029351600 1715165330085390 1829509685424416 2286887106780520 2365745282876400 2744264528136624 2858608883475650 3346664058703200 3430330660170780 4287913325213475 4573774213561040 4731490565752800 5488529056273248 5717217766951300 6860661320341560 8575826650426950 9147548427122080 11434435533902600 13721322640683120 17151653300853900 22868871067805200 27442645281366240 34303306601707800 45737742135610400 68606613203415600 137213226406831200
• Sum of all divisors σ(n): 477075198673059840
• Sum of proper divisors (its aliquot sum) s(n): 339861972266228640
• 137213226406831200 is an abundant number, because the sum of its proper divisors (339861972266228640) is greater than itself. Its abundance is 202648745859397440

Bases of 137213226406831200

• Binary: 111100111011110101011001111010010011101101110010001100000₂
• Hexadecimal: 0x1E77AB3D276E460
• Base-36: 11J212063UQO

Squares and roots of 137213226406831200

• 137213226406831200 squared (137213226406831200²) is 18827469500972318944414025293440000
• 137213226406831200 cubed (137213226406831200³) is 2583377835304624029107932773097190244400547328000000
• The square root of 137213226406831200 is 370423037.0897998023
• The cube root of 137213226406831200 is 515780.9829163483

Scales and comparisons

• 137,213,226,406,831,200 seconds is equal to 4,362,956,171 years, 18 weeks, 5 days, 8 hours, 40 minutes.
• To count from 1 to 137,213,226,406,831,200 would take you about thirteen billion, eighty-eight million, eight hundred sixty-eight thousand, five hundred fourteen 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 137213226406831200 cubic inches would be around 42981.7 feet tall.

Recreational maths with 137213226406831200

• 137213226406831200 backwards is 002138604622312731
• The number of decimal digits it has is: 18
• The sum of 137213226406831200's digits is 51
• More coming soon!