128977361081008128

Names of 128977361081008128

• Cardinal: 128977361081008128 can be written as One hundred twenty-eight quadrillion, nine hundred seventy-seven trillion, three hundred sixty-one billion, eighty-one million, eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.28977361081008128 × 10¹⁷

Factors of 128977361081008128

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 5576

Divisors of 128977361081008128

• Number of divisors d(n): 1020
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 256 288 312 338 384 416 468 507 512 576 624 676 768 832 936 1014 1024 1152 1248 1352 1521 1536 1664 1872 2028 2048 2197 2304 2496 2521 2704 3037 3042 3072 3328 3744 4056 4096 4394 4608 4992 5042 5408 6074 6084 6144 6591 6656 7488 7563 8112 8192 8788 9111 9216 9984 10084 10816 12148 12168 12288 13182 13312 14976 15126 16224 16384 17576 18222 18432 19773 19968 20168 21632 22689 24296 24336 24576 26364 26624 27333 28561 29952 30252 32448 32768 32773 35152 36444 36864 39481 39546 39936 40336 43264 45378 48592 48672 49152 52728 53248 54666 57122 59904 60504 64896 65536 65546 70304 72888 73728 78962 79092 79872 80672 85683 86528 90756 97184 97344 98304 98319 105456 106496 109332 114244 118443 119808 121008 129792 131092 140608 145776 147456 157924 158184 159744 161344 171366 173056 181512 194368 194688 196608 196638 210912 212992 218664 228488 236886 239616 242016 257049 259584 262184 281216 291552 294912 294957 315848 316368 319488 322688 342732 346112 355329 363024 388736 389376 393276 421824 425984 426049 437328 456976 473772 479232 484032 513253 514098 519168 524368 562432 583104 589824 589914 631696 632736 638976 645376 685464 692224 710658 726048 777472 778752 786552 843648 851968 852098 874656 913952 947544 958464 968064 1026506 1028196 1038336 1048736 1124864 1166208 1179828 1263392 1265472 1277952 1278147 1290752 1370928 1384448 1421316 1452096 1539759 1554944 1557504 1573104 1687296 1704196 1749312 1827904 1895088 1916928 1936128 2053012 2056392 2076672 2097472 2249728 2332416 2359656 2526784 2530944 2555904 2556294 2581504 2741856 2768896 2842632 2904192 3079518 3109888 3115008 3146208 3374592 3408392 3498624 3655808 3790176 3833856 3834441 3872256 4106024 4112784 4153344 4194944 4499456 4619277 4664832 4719312 5053568 5061888 5112588 5163008 5483712 5537792 5538637 5685264 5808384 6159036 6219776 6230016 6292416 6672289 6749184 6816784 6997248 7311616 7580352 7656277 7667712 7668882 7744512 8212048 8225568 8306688 8389888 8998912 9238554 9329664 9438624 10107136 10123776 10225176 10326016 10967424 11075584 11077274 11370528 11616768 12318072 12439552 12460032 12584832 13344578 13498368 13633568 13994496 14623232 15160704 15312554 15337764 15489024 16424096 16451136 16613376 16615911 16779776 17997824 18477108 18659328 18877248 20016867 20214272 20247552 20450352 20652032 21934848 22154548 22741056 22968831 23233536 24636144 24879104 24920064 25169664 26689156 26996736 27267136 27988992 29246464 30321408 30625108 30675528 30978048 32848192 32902272 33226752 33231822 33559552 35995648 36954216 37318656 37754496 40033734 40428544 40495104 40900704 41304064 43869696 44309096 45482112 45937662 46467072 49272288 49758208 49840128 49847733 50339328 53378312 53993472 54534272 55977984 58492928 60050601 60642816 61250216 61351056 61956096 65696384 65804544 66463644 67119104 68906493 71991296 72002281 73908432 74637312 75508992 80067468 80857088 80990208 81801408 82608128 86739757 87739392 88618192 90964224 91875324 92934144 98544576 99516416 99531601 99680256 99695466 100678656 106756624 107986944 109068544 111955968 116985856 120101202 121285632 122500432 122702112 123912192 131392768 131609088 132927288 134238208 137812986 143982592 144004562 147816864 149274624 151017984 160134936 161714176 161980416 163602816 165216256 173479514 175478784 177236384 181928448 183750648 185868288 197089152 199032832 199063202 199390932 201357312 213513248 215973888 216006843 218137088 223911936 233971712 240202404 242571264 245000864 245404224 247824384 260219271 262785536 263218176 265854576 268476416 275625972 288009124 295633728 298549248 298594803 302035968 320269872 323428352 323960832 327205632 346959028 350957568 354472768 363856896 367501296 371736576 394178304 398126404 398781864 402714624 427026496 431947776 432013686 436274176 447823872 467943424 480404808 485142528 490001728 490808448 495648768 520438542 525571072 526436352 531709152 536952832 551251944 576018248 591267456 597098496 597189606 604071936 640539744 646856704 647921664 648020529 654411264 693918056 701915136 708945536 727713792 735002592 743473152 780657813 788356608 796252808 797563728 805429248 854052992 864027372 872548352 895647744 895784409 935886848 960809616 970285056 980003456 981616896 1040877084 1051142144 1052872704 1063418304 1073905664 1102503888 1152036496 1182534912 1194379212 1208143872 1281079488 1293713408 1293910813 1295843328 1296041058 1308822528 1387836112 1403830272 1417891072 1455427584 1470005184 1486946304 1561315626 1576713216 1592505616 1595127456 1610858496 1708105984 1728054744 1745096704 1791295488 1791568818 1871773696 1921619232 1940570112 1960006912 1963233792 2081754168 2102284288 2105745408 2126836608 2147811328 2205007776 2304072992 2365069824 2388758424 2416287744 2562158976 2587426816 2587821626 2592082116 2617645056 2775672224 2807660544 2835782144 2910855168 2940010368 3122631252 3153426432 3185011232 3190254912 3221716992 3416211968 3456109488 3490193408 3583137636 3843238464 3881140224 3881732439 3920013824 3926467584 4163508336 4204568576 4211490816 4253673216 4410015552 4608145984 4730139648 4777516848 4832575488 5124317952 5175643252 5184164232 5235290112 5551344448 5615321088 5671564288 5821710336 5880020736 6245262504 6306852864 6370022464 6380509824 6443433984 6832423936 6912218976 6980386816 7166275272 7686476928 7762280448 7763464878 7840027648 7852935168 8327016672 8409137152 8422981632 8507346432 8820031104 9216291968 9460279296 9555033696 9665150976 10248635904 10351286504 10368328464 10470580224 11102688896 11343128576 11643420672 11645197317 11760041472 12490525008 12613705728 12740044928 12761019648 13664847872 13824437952 13960773632 14332550544 15372953856 15526929756 15680055296 15705870336 16654033344 16818274304 16820840569 16845963264 17014692864 17640062208 18432583936 18920558592 19110067392 19330301952 20497271808 20702573008 20736656928 20941160448 22205377792 22686257152 23286841344 23290394634 23520082944 24981050016 25227411456 25480089856 25522039296 27329695744 27648875904 27921547264 28665101088 30745907712 31053859512 31360110592 31411740672 33308066688 33636548608 33641681138 34029385728 35280124416 36865167872 37841117184 38220134784 40994543616 41405146016 41473313856 41882320896 44410755584 45372514304 46580789268 47040165888 49962100032 50454822912 50462521707 50960179712 51044078592 54659391488 55297751808 57330202176 61491815424 62107719024 62720221184 62823481344 66616133376 67283362276 68058771456 70560248832 73730335744 75682234368 76440269568 81989087232 82810292032 82946627712 83764641792 88821511168 90745028608 93161578536 94080331776 99924200064 100909645824 100925043414 101920359424 102088157184 109318782976 110595503616 114660404352 122983630848 124215438048 125440442368 125646962688 133232266752 134566724552 136117542912 141120497664 147460671488 151364468736 151387565121 152880539136 163978174464 165620584064 165893255424 177643022336 181490057216 186323157072 188160663552 199848400128 201850086828 203840718848 204176314368 218637565952 218670927397 221191007232 229320808704 245967261696 248430876096 250880884736 251293925376 266464533504 269133449104 272235085824 282240995328 294921342976 302728937472 302775130242 305761078272 327956348928 331241168128 331786510848 355286044672 362980114432 372646314144 376321327104 399696800256 403700173656 407681437696 408352628736 437275131904 437341854794 442382014464 458641617408 491934523392 496861752192 501761769472 532929067008 538266898208 544470171648 564481990656 589842685952 605550260484 611522156544 655912697856 656012782191 662482336256 663573021696 710572089344 745292628288 752642654208 799393600512 807400347312 815362875392 816705257472 874683709588 884764028928 917283234816 983869046784 993723504384 1065858134016 1076533796416 1088940343296 1128963981312 1179685371904 1211100520968 1223044313088 1311825395712 1312025564382 1324964672512 1327146043392 1421144178688 1490585256576 1505285308416 1598787201024 1614800694624 1630725750784 1633410514944 1749367419176 1769528057856 1834566469632 1967738093568 1968038346573 1987447008768 2131716268032 2153067592832 2257927962624 2359370743808 2422201041936 2446088626176 2624051128764 2649929345024 2654292086784 2842288357376 2981170513152 3197574402048 3229601389248 3261451501568 3266821029888 3498734838352 3539056115712 3669132939264 3935476187136 3936076693146 3974894017536 4263432536064 4306135185664 4515855925248 4718741487616 4844402083872 4892177252352 5248102257528 5299858690048 5308584173568 5684576714752 5962341026304 6395148804096 6459202778496 6522903003136 6997469676704 7078112231424 7338265878528 7872153386292 7949788035072 8526865072128 8612270371328 9688804167744 9784354504704 10496204515056 10599717380096 10617168347136 11924682052608 12790297608192 12918405556992 13994939353408 14156224462848 14676531757056 15744306772584 15899576070144 17053730144256 17224540742656 19377608335488 19568709009408 20992409030112 21199434760192 21234336694272 23849364105216 25580595216384 25836811113984 27989878706816 29353063514112 31488613545168 31799152140288 34449081485312 38755216670976 41984818060224 42398869520384 42468673388544 47698728210432 51161190432768 51673622227968 55979757413632 58706127028224 62977227090336 63598304280576 68898162970624 77510433341952 83969636120448 84797739040768 95397456420864 103347244455936 111959514827264 125954454180672 127196608561152 137796325941248 155020866683904 167939272240896 190794912841728 206694488911872 223919029654528 251908908361344 254393217122304 275592651882496 310041733367808 335878544481792 381589825683456 413388977823744 447838059309056 503817816722688 551185303764992 620083466735616 671757088963584 763179651366912 826777955647488 895676118618112 1007635633445376 1102370607529984 1240166933471232 1343514177927168 1653555911294976 1791352237236224 2015271266890752 2480333866942464 2687028355854336 3307111822589952 3582704474472448 4030542533781504 4960667733884928 5374056711708672 7165408948944896 8061085067563008 9921335467769856 10748113423417344 14330817897889792 16122170135126016 21496226846834688 32244340270252032 42992453693669376 64488680540504064 128977361081008128
• Sum of all divisors σ(n): 403940280525092948
• Sum of proper divisors (its aliquot sum) s(n): 274962919444084820
• 128977361081008128 is an abundant number, because the sum of its proper divisors (274962919444084820) is greater than itself. Its abundance is 145985558363076692

Bases of 128977361081008128

• Binary: 111001010001110000011100111111111010011010000000000000000₂
• Hexadecimal: 0x1CA3839FF4D0000
• Base-36: Z9YNPPEUPS0

Squares and roots of 128977361081008128

• 128977361081008128 squared (128977361081008128²) is 16635159671420750144542732802064384
• 128977361081008128 cubed (128977361081008128³) is 2145558995581058618246380298103535800710054283313152
• The square root of 128977361081008128 is 359134182.5571719761
• The cube root of 128977361081008128 is 505247.8750202389

Scales and comparisons

• 128,977,361,081,008,128 seconds is equal to 4,101,081,129 years, 10 weeks, 4 days, 4 hours, 28 minutes, 48 seconds.
• To count from 1 to 128,977,361,081,008,128 would take you about twelve billion, three hundred three million, two hundred forty-three thousand, three hundred eighty-seven 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 128977361081008128 cubic inches would be around 42104 feet tall.

Recreational maths with 128977361081008128

• 128977361081008128 backwards is 821800180163779821
• 128977361081008128 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 128977361081008128's digits is 72
• More coming soon!