137669236951400448

Names of 137669236951400448

• Cardinal: 137669236951400448 can be written as One hundred thirty-seven quadrillion, six hundred sixty-nine trillion, two hundred thirty-six billion, nine hundred fifty-one million, four hundred thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.37669236951400448 × 10¹⁷

Factors of 137669236951400448

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 3293

Divisors of 137669236951400448

• Number of divisors d(n): 1080
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 41 42 46 48 56 64 69 82 84 92 96 112 123 128 138 161 164 168 184 192 224 246 256 276 287 322 328 336 368 384 448 483 492 512 552 574 644 656 672 736 768 861 896 943 966 984 1024 1104 1148 1288 1312 1344 1472 1536 1681 1722 1792 1886 1932 1968 2048 2208 2296 2576 2624 2688 2829 2944 3072 3217 3362 3444 3584 3772 3864 3936 4096 4416 4592 5043 5152 5248 5376 5658 5888 6144 6434 6601 6724 6888 7168 7544 7728 7872 8192 8832 9184 9651 10086 10304 10496 10752 11316 11767 11776 12288 12868 13202 13448 13776 14336 15088 15456 15744 16384 17664 18368 19302 19803 20172 20608 20992 21504 22519 22632 23534 23552 24576 25736 26404 26896 27552 28672 30176 30912 31488 35301 35328 36736 38604 38663 39606 40344 41216 41984 43008 45038 45264 47068 47104 49152 51472 52808 53792 55104 57344 60352 61824 62976 67557 70602 70656 73472 73991 77208 77326 79212 80688 82432 83968 86016 90076 90528 94136 94208 102944 105616 107584 110208 114688 115989 120704 123648 125952 131897 135114 141204 141312 146944 147982 154416 154652 158424 161376 164864 167936 172032 180152 181056 188272 188416 205888 211232 215168 220416 221973 231978 241408 247296 251904 263794 270228 270641 282408 282624 293888 295964 308832 309304 316848 322752 329728 335872 344064 360304 362112 376544 376832 395691 411776 422464 430336 440832 443946 463956 482816 494592 503808 517937 527588 540456 541282 564816 565248 587776 591928 617664 618608 633696 645504 659456 671744 720608 724224 753088 791382 811923 823552 844928 860672 881664 887892 923279 927912 965632 989184 1007616 1035874 1055176 1080912 1082564 1129632 1130496 1175552 1183856 1235328 1237216 1267392 1291008 1318912 1441216 1448448 1506176 1553811 1582764 1623846 1647104 1689856 1721344 1763328 1775784 1846558 1855824 1931264 1978368 2015232 2071748 2110352 2161824 2165128 2259264 2351104 2367712 2470656 2474432 2534784 2582016 2637824 2769837 2882432 2896896 3012352 3033631 3107622 3165528 3247692 3294208 3379712 3442688 3526656 3551568 3693116 3711648 3862528 3956736 4143496 4220704 4323648 4330256 4518528 4702208 4735424 4941312 4948864 5069568 5164032 5407777 5539674 5764864 5793792 6024704 6067262 6215244 6331056 6495384 6588416 6759424 6885376 7053312 7103136 7386232 7423296 7725056 7913472 8286992 8441408 8647296 8660512 9037056 9100893 9470848 9882624 9897728 10139136 10328064 10349089 10815554 11079348 11529728 11587584 12049408 12134524 12430488 12662112 12990768 13176832 13518848 13770752 14106624 14206272 14772464 14846592 15450112 16223331 16573984 16882816 17294592 17321024 18074112 18201786 18941696 19765248 19795456 20278272 20656128 20698178 21235417 21631108 22158696 23059456 23175168 24098816 24269048 24860976 25324224 25981536 26353664 27037696 27541504 28412544 29544928 29693184 31047267 32446662 33147968 33765632 34589184 34642048 36148224 36403572 37854439 37883392 39530496 39590912 40556544 41312256 41396356 42470834 43262216 44317392 46118912 46350336 48197632 48538096 49721952 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497515484 509650008 519146592 530367488 540250112 553426944 554272768 578371584 579548984 582457152 605671024 606134272 633454592 662341696 679533344 692195456 709078272 714087141 746273226 776609536 795551232 810375168 831409152 848625298 869323476 870652097 908506536 909201408 945437696 950181888 952116188 993512544 995030968 1019300016 1038293184 1060734976 1080500224 1106853888 1108545536 1159097968 1164914304 1211342048 1212268544 1272937947 1324683392 1359066688 1384390912 1418156544 1428174282 1492546452 1553219072 1591102464 1620750336 1662818304 1666203329 1697250596 1738646952 1741304194 1817013072 1818402816 1890875392 1900363776 1904232376 1987025088 1990061936 2038600032 2076586368 2121469952 2161000448 2217091072 2318195936 2329828608 2422684096 2545875894 2611956291 2649366784 2718133376 2768781824 2836313088 2856348564 2970188543 2985092904 3106438144 3182204928 3241500672 3325636608 3332406658 3394501192 3477293904 3482608388 3634026144 3636805632 3781750784 3808464752 3974050176 3980123872 4077200064 4153172736 4242939904 4434182144 4636391872 4659657216 4845368192 4998609987 5091751788 5223912582 5298733568 5436266752 5537563648 5672626176 5712697128 5940377086 5970185808 6212876288 6364409856 6483001344 6651273216 6664813316 6789002384 6954587808 6965216776 7268052288 7563501568 7616929504 7948100352 7960247744 8154400128 8306345472 8485879808 8910565629 9272783744 9319314432 9690736384 9759190927 9997219974 10183503576 10447825164 10597467136 10872533504 11075127296 11345252352 11425394256 11880754172 11940371616 12425752576 12728819712 13302546432 13329626632 13578004768 13909175616 13930433552 14536104576 15127003136 15233859008 15896200704 15920495488 16308800256 16612690944 17396818609 17821131258 18545567488 18638628864 19381472768 19518381854 19994439948 20367007152 20895650328 21194934272 21745067008 22150254592 22690504704 22850788512 23761508344 23880743232 24851505152 25457639424 26659253264 27156009536 27818351232 27860867104 29072209152 29277572781 30467718016 31792401408 31840990976 32617600512 33225381888 34793637218 35642262516 37091134976 37277257728 38762945536 39036763708 39988879896 40734014304 41791300656 42389868544 43490134016 44300509184 45381009408 45701577024 47523016688 47761486464 49703010304 52190455827 53318506528 54312019072 55636702464 55721734208 58144418304 58555145562 60935436032 63584802816 63681981952 65235201024 66450763776 68314336489 69587274436 71284525032 74182269952 74554515456 77525891072 78073527416 79977759792 81468028608 83582601312 84779737088 86980268032 88601018368 91403154048 95046033376 95522972928 104380911654 106637013056 108624038144 111273404928 111443468416 116288836608 117110291124 121777730263 121870872064 127169605632 127363963904 130470402048 132901527552 136628672978 139174548872 142569050064 148364539904 149109030912 155051782144 156147054832 159955519584 162936057216 167165202624 169559474176 173960536064 182806308096 190092066752 191045945856 204943009467 208761823308 213274026112 217248076288 222546809856 222886936832 232577673216 234220582248 243555460526 243741744128 254339211264 254727927808 260940804096 265803055104 273257345956 278349097744 285138100128 296729079808 310103564288 312294109664 319911039168 325872114432 334330405248 347921072128 365333190789 365612616192 380184133504 382091891712 400126828007 409886018934 417523646616 426548052224 434496152576 445093619712 445773873664 465155346432 468441164496 487110921052 487483488256 508678422528 509455855616 521881608192 546514691912 556698195488 570276200256 593458159616 620207128576 624588219328 639822078336 651744228864 668660810496 730666381578 731225232384 760368267008 764183783424 800253656014 819772037868 835047293232 853096104448 868992305152 890187239424 891547747328 930310692864 936882328992 974221842104 974966976512 1018911711232 1043763216384 1093029383824 1113396390976 1140552400512 1186916319232 1200380484021 1249176438656 1279644156672 1303488457728 1337321620992 1461332763156 1462450464768 1520736534016 1528367566848 1600507312028 1639544075736 1670094586464 1706192208896 1737984610304 1780374478848 1783095494656 1860621385728 1873764657984 1948443684208 1949933953024 2037823422464 2186058767648 2226792781952 2281104801024 2400760968042 2498352877312 2559288313344 2606976915456 2674643241984 2800887796049 2922665526312 2924900929536 3041473068032 3056735133696 3201014624056 3279088151472 3340189172928 3412384417792 3475969220608 3560748957696 3566190989312 3747529315968 3896887368416 3899867906048 4372117535296 4453585563904 4562209602048 4801521936084 4996705754624 5118576626688 5213953830912 5349286483968 5601775592098 5845331052624 5849801859072 6082946136064 6113470267392 6402029248112 6558176302944 6680378345856 6824768835584 6951938441216 7132381978624 7495058631936 7793774736832 8402663388147 8744235070592 8907171127808 9124419204096 9603043872168 9993411509248 10237153253376 10427907661824 10698572967936 11203551184196 11690662105248 11699603718144 12165892272128 12804058496224 13116352605888 13360756691712 13649537671168 14264763957248 14990117263872 15587549473664 16805326776294 17488470141184 17814342255616 18248838408192 19206087744336 19986823018496 20474306506752 20855815323648 21397145935872 22407102368392 23381324210496 24331784544256 25608116992448 26232705211776 26721513383424 27299075342336 29980234527744 31175098947328 33610653552588 34976940282368 35628684511232 36497676816384 38412175488672 39973646036992 40948613013504 42794291871744 44814204736784 46762648420992 48663569088512 51216233984896 52465410423552 53443026766848 59960469055488 62350197894656 67221307105176 69953880564736 71257369022464 72995353632768 76824350977344 79947292073984 81897226027008 89628409473568 93525296841984 102432467969792 104930820847104 106886053533696 119920938110976 124700395789312 134442614210352 139907761129472 142514738044928 145990707265536 153648701954688 159894584147968 179256818947136 187050593683968 204864935939584 209861641694208 213772107067392 239841876221952 249400791578624 268885228420704 279815522258944 285029476089856 307297403909376 358513637894272 374101187367936 409729871879168 419723283388416 427544214134784 479683752443904 498801583157248 537770456841408 559631044517888 614594807818752 717027275788544 748202374735872 819459743758336 839446566776832 855088428269568 997603166314496 1075540913682816 1119262089035776 1229189615637504 1434054551577088 1496404749471744 1638919487516672 1678893133553664 1995206332628992 2151081827365632 2458379231275008 2868109103154176 2992809498943488 3277838975033344 3357786267107328 4302163654731264 4916758462550016 5736218206308352 5985618997886976 6555677950066688 8604327309462528 9833516925100032 11472436412616704 17208654618925056 19667033850200064 22944872825233408 34417309237850112 45889745650466816 68834618475700224 137669236951400448
• Sum of all divisors σ(n): 448869732016962816
• Sum of proper divisors (its aliquot sum) s(n): 311200495065562368
• 137669236951400448 is an abundant number, because the sum of its proper divisors (311200495065562368) is greater than itself. Its abundance is 173531258114161920

Bases of 137669236951400448

• Binary: 111101001000110010111000100001100111111001100000000000000₂
• Hexadecimal: 0x1E919710CFCC000
• Base-36: 11NJO6CUI0AO

Squares and roots of 137669236951400448

• 137669236951400448 squared (137669236951400448²) is 18952818802780842517598268454600704
• 137669236951400448 cubed (137669236951400448³) is 2609220102656993564662587390128220096473521446715392
• The square root of 137669236951400448 is 371038053.2390181243
• The cube root of 137669236951400448 is 516351.7284121987

Scales and comparisons

• 137,669,236,951,400,448 seconds is equal to 4,377,455,896 years, 7 weeks, 3 days, 18 hours, 20 minutes, 48 seconds.
• To count from 1 to 137,669,236,951,400,448 would take you about thirteen billion, one hundred thirty-two million, three hundred sixty-seven thousand, six hundred eighty-eight 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 137669236951400448 cubic inches would be around 43029.3 feet tall.

Recreational maths with 137669236951400448

• 137669236951400448 backwards is 844004159632966731
• The number of decimal digits it has is: 18
• The sum of 137669236951400448's digits is 78
• More coming soon!