137818585932372516864

Names of 137818585932372516864

• Cardinal: 137818585932372516864 can be written as One hundred thirty-seven quintillion, eight hundred eighteen quadrillion, five hundred eighty-five trillion, nine hundred thirty-two billion, three hundred seventy-two million, five hundred sixteen thousand, eight hundred sixty-four.

Scientific notation

• Scientific notation: 1.37818585932372516864 × 10²⁰

Factors of 137818585932372516864

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 460816

Divisors of 137818585932372516864

• Number of divisors d(n): 840
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 64 66 77 84 88 96 98 112 128 132 147 154 168 176 192 196 224 231 256 264 294 308 336 343 352 384 392 448 462 512 528 539 588 616 672 686 704 768 784 896 924 1024 1029 1056 1078 1176 1232 1344 1372 1408 1536 1568 1617 1792 1848 2048 2058 2112 2156 2352 2401 2464 2688 2744 2816 3072 3136 3234 3584 3696 3773 4096 4116 4224 4312 4704 4802 4928 5376 5488 5632 6144 6272 6468 7168 7203 7392 7546 8192 8232 8448 8624 9408 9604 9856 10752 10976 11264 11319 12288 12544 12936 14336 14406 14784 15092 16464 16896 17248 18816 19208 19712 21504 21952 22528 22638 24576 25088 25872 26411 28672 28812 29568 30184 32928 33792 34496 37632 38416 39424 43008 43904 45056 45276 50176 51744 52822 57344 57624 59136 60368 65856 67584 68992 75264 76832 78848 79233 86016 87808 90112 90552 100352 103488 105644 115248 118272 120736 131712 135168 137984 150528 153664 157696 158466 172032 175616 181104 200704 206976 211288 230496 236544 241472 263424 270336 275968 301056 307328 315392 316932 351232 362208 401408 413952 422576 460793 460992 473088 482944 526848 551936 602112 614656 630784 633864 702464 724416 827904 845152 921586 921984 946176 965888 1053696 1103872 1204224 1229312 1267728 1382379 1404928 1448832 1655808 1690304 1843172 1843968 1892352 1931776 2107392 2207744 2458624 2535456 2764758 2809856 2897664 3225551 3311616 3380608 3686344 3687936 3863552 4214784 4415488 4917248 5068723 5070912 5529516 5795328 6451102 6623232 6761216 7372688 7375872 7727104 8429568 9676653 9834496 10137446 10141824 11059032 11590656 12902204 13246464 13522432 14745376 14751744 15206169 15454208 19353306 19668992 20274892 20283648 22118064 22578857 23181312 25804408 27044864 29490752 29503488 30412338 30908416 35481061 38706612 40549784 40567296 44236128 45157714 46362624 51608816 54089728 58981504 59006976 60824676 67736571 70962122 77413224 81099568 81134592 88472256 90315428 92725248 103217632 106443183 108179456 117963008 121649352 135473142 141924244 154826448 158051999 162199136 162269184 176944512 180630856 206435264 212886366 216358912 235926016 243298704 248367427 270946284 283848488 309652896 316103998 324398272 324538368 353889024 361261712 412870528 425772732 471852032 474155997 486597408 496734854 541892568 567696976 619305792 632207996 648796544 649076736 707778048 722523424 745102281 825741056 851545464 943704064 948311994 973194816 993469708 1083785136 1106363993 1135393952 1238611584 1264415992 1297593088 1415556096 1445046848 1490204562 1651482112 1703090928 1738571989 1887408128 1896623988 1946389632 1986939416 2167570272 2212727986 2270787904 2477223168 2528831984 2595186176 2831112192 2890093696 2980409124 3302964224 3319091979 3406181856 3477143978 3774816256 3793247976 3892779264 3973878832 4335140544 4425455972 4541575808 4954446336 5057663968 5190372352 5215715967 5662224384 5780187392 5960818248 6605928448 6638183958 6812363712 6954287956 7586495952 7785558528 7947757664 8670281088 8850911944 9083151616 9908892672 10115327936 10380744704 10431431934 11324448768 11560374784 11921636496 12170003923 13211856896 13276367916 13624727424 13908575912 15172991904 15571117056 15895515328 17340562176 17701823888 18166303232 19817785344 20230655872 20761489408 20862863868 23120749568 23843272992 24340007846 26423713792 26552735832 27249454848 27817151824 30345983808 31142234112 31791030656 34681124352 35403647776 36332606464 36510011769 39635570688 40461311744 41522978816 41725727736 46241499136 47686545984 48680015692 53105471664 54498909696 55634303648 60691967616 62284468224 63582061312 69362248704 70807295552 72665212928 73020023538 79271141376 80922623488 83451455472 92482998272 95373091968 97360031384 106210943328 108997819392 111268607296 121383935232 124568936448 127164122624 138724497408 141614591104 145330425856 146040047076 161845246976 166902910944 184965996544 190746183936 194720062768 212330188849 212421886656 217995638784 222537214592 242767870464 254328245248 277448994816 283229182208 290660851712 292080094152 323690493952 333805821888 381492367872 389440125536 424660377698 424843773312 435991277568 445074429184 485535740928 508656490496 554897989632 566458364416 584160188304 636990566547 647380987904 667611643776 762984735744 778880251072 849320755396 849687546624 871982555136 890148858368 971071481856 1017312980992 1132916728832 1168320376608 1273981133094 1294761975808 1335223287552 1486311321943 1525969471488 1557760502144 1698641510792 1699375093248 1780297716736 1942142963712 2034625961984 2265833457664 2335632077339 2336640753216 2547962266188 2670446575104 2972622643886 3051938942976 3115521004288 3397283021584 3398750186496 3560595433472 3884285927424 4458933965829 4531666915328 4671264154678 4673281506432 5095924532376 5340893150208 5945245287772 6103877885952 6231042008576 6794566043168 6797500372992 7006896232017 7121190866944 8917867931658 9063333830656 9342528309356 9346563012864 10191849064752 10404179253601 10681786300416 11890490575544 12462084017152 13589132086336 13595000745984 14013792464034 14242381733888 16349424541373 17835735863316 18685056618712 18693126025728 20383698129504 20808358507202 21363572600832 23780981151088 24924168034304 27178264172672 27190001491968 28027584928068 31212537760803 32698849082746 35671471726632 37370113237424 37386252051456 40767396259008 41616717014404 42727145201664 47561962302176 49048273624119 49848336068608 54356528345344 56055169856136 62425075521606 65397698165492 71342943453264 72829254775207 74740226474848 74772504102912 81534792518016 83233434028808 95123924604352 98096547248238 99696672137216 108713056690688 112110339712272 114445971789611 124850151043212 130795396330984 142685886906528 145658509550414 149480452949696 149545008205824 163069585036032 166466868057616 190247849208704 196193094496476 217426113381376 218487764325621 224220679424544 228891943579222 249700302086424 261590792661968 285371773813056 291317019100828 298960905899392 299090016411648 326139170072064 332933736115232 343337915368833 380495698417408 392386188992952 434852226762752 436975528651242 448441358849088 457783887158444 499400604172848 509804783426449 523181585323936 570743547626112 582634038201656 597921811798784 652278340144128 665867472230464 686675830737666 760991396834816 784772377985904 801121802527277 869704453525504 873951057302484 896882717698176 915567774316888 998801208345696 1019609566852898 1046363170647872 1141487095252224 1165268076403312 1195843623597568 1304556680288256 1331734944460928 1373351661475332 1521982793669632 1529414350279347 1569544755971808 1602243605054554 1739408907051008 1747902114604968 1793765435396352 1831135548633776 1997602416691392 2039219133705796 2092726341295744 2282974190504448 2330536152806624 2391687247195136 2403365407581831 2609113360576512 2663469888921856 2746703322950664 3043965587339264 3058828700558694 3139089511943616 3204487210109108 3495804229209936 3587530870792704 3662271097267552 3995204833382784 4078438267411592 4185452682591488 4565948381008896 4661072305613248 4783374494390272 4806730815163662 5218226721153024 5326939777843712 5493406645901328 5607852617690939 6087931174678528 6117657401117388 6278179023887232 6408974420218216 6991608458419872 7175061741585408 7324542194535104 7990409666765568 8156876534823184 8370905365182976 9131896762017792 9322144611226496 9566748988780544 9613461630327324 10653879555687424 10986813291802656 11215705235381878 12175862349357056 12235314802234776 12556358047774464 12817948840436432 13983216916839744 14350123483170816 14649084389070208 15980819333531136 16313753069646368 16741810730365952 16823557853072817 18263793524035584 18644289222452992 19133497977561088 19226923260654648 21307759111374848 21973626583605312 22431410470763756 24470629604469552 25112716095548928 25635897680872864 27966433833679488 28700246966341632 29298168778140416 31961638667062272 32627506139292736 33483621460731904 33647115706145634 36527587048071168 37288578444905984 38453846521309296 42615518222749696 43947253167210624 44862820941527512 48941259208939104 50225432191097856 51271795361745728 55932867667358976 57400493932683264 58596337556280832 63923277334124544 65255012278585472 66967242921463808 67294231412291268 74577156889811968 76907693042618592 85231036445499392 87894506334421248 89725641883055024 97882518417878208 100450864382195712 102543590723491456 111865735334717952 117192675112561664 127846554668249088 130510024557170944 133934485842927616 134588462824582536 149154313779623936 153815386085237184 175789012668842496 179451283766110048 195765036835756416 200901728764391424 205087181446982912 223731470669435904 234385350225123328 255693109336498176 261020049114341888 269176925649165072 298308627559247872 307630772170474368 351578025337684992 358902567532220096 391530073671512832 401803457528782848 410174362893965824 447462941338871808 468770700450246656 522040098228683776 538353851298330144 596617255118495744 615261544340948736 703156050675369984 717805135064440192 783060147343025664 820348725787931648 894925882677743616 937541400900493312 1044080196457367552 1076707702596660288 1230523088681897472 1406312101350739968 1435610270128880384 1566120294686051328 1640697451575863296 1789851765355487232 2088160392914735104 2153415405193320576 2461046177363794944 2812624202701479936 2871220540257760768 3132240589372102656 3281394903151726592 4176320785829470208 4306830810386641152 4922092354727589888 5742441080515521536 6264481178744205312 6562789806303453184 8613661620773282304 9844184709455179776 11484882161031043072 12528962357488410624 17227323241546564608 19688369418910359552 22969764322062086144 34454646483093129216 45939528644124172288 68909292966186258432 137818585932372516864
• Sum of all divisors σ(n): 467692565074399414512
• Sum of proper divisors (its aliquot sum) s(n): 329873979142026897648
• 137818585932372516864 is an abundant number, because the sum of its proper divisors (329873979142026897648) is greater than itself. Its abundance is 192055393209654380784

Bases of 137818585932372516864

• Binary: 1110111100010011101111110011011011000011001101101100010000000000000₂
• Hexadecimal: 0x7789DF9B619B62000
• Base-36: T32WZD7JYKWLC

Squares and roots of 137818585932372516864

• 137818585932372516864 squared (137818585932372516864²) is 18993962628398747803488745083309964394496
• 137818585932372516864 cubed (137818585932372516864³) is 2617721070698244979109574162532279342472437370506461308780544
• The square root of 137818585932372516864 is 11739616089.6501431063
• The cube root of 137818585932372516864 is 5165383.8045974921

Scales and comparisons

• 137,818,585,932,372,516,864 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,818,585,932,372,516,864 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 137818585932372516864 cubic inches would be around 430448.7 feet tall.

Recreational maths with 137818585932372516864

• 137818585932372516864 backwards is 468615273239585818731
• The number of decimal digits it has is: 21
• The sum of 137818585932372516864's digits is 102
• More coming soon!