34973676806897664

Names of 34973676806897664

• Cardinal: 34973676806897664 can be written as Thirty-four quadrillion, nine hundred seventy-three trillion, six hundred seventy-six billion, eight hundred six million, eight hundred ninety-seven thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 3.4973676806897664 × 10¹⁶

Factors of 34973676806897664

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 564

Divisors of 34973676806897664

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 151 176 192 198 216 256 264 288 297 302 352 384 396 397 432 453 512 528 576 594 604 704 768 792 794 864 906 1024 1056 1152 1188 1191 1208 1359 1408 1536 1584 1588 1661 1728 1812 2048 2112 2304 2376 2382 2416 2718 2816 3072 3168 3176 3322 3456 3573 3624 4077 4096 4224 4367 4608 4752 4764 4832 4983 5436 5632 6144 6336 6352 6644 6912 7146 7248 8154 8192 8448 8734 9216 9504 9528 9664 9966 10719 10872 11264 12288 12672 12704 13101 13288 13824 14292 14496 14949 16308 16384 16896 17468 18432 19008 19056 19328 19932 21438 21744 22528 22801 24576 25344 25408 26202 26576 27648 28584 28992 29898 32616 32768 33792 34936 36864 38016 38112 38656 39303 39864 42876 43488 44847 45056 45602 49152 50688 50816 52404 53152 55296 57168 57984 59796 59947 65232 67584 68403 69872 73728 76032 76224 77312 78606 79728 85752 86976 89694 90112 91204 98304 101376 101632 104808 106304 110592 114336 115968 117909 119592 119894 130464 135168 136806 139744 147456 152064 152448 154624 157212 157609 159456 171504 173952 179388 179841 180224 182408 202752 203264 205209 209616 212608 221184 228672 231936 235818 239184 239788 250811 260928 270336 273612 279488 294912 304128 304896 309248 314424 315218 318912 343008 347904 358776 359682 360448 364816 405504 406528 410418 419232 425216 442368 457344 463872 471636 472827 478368 479576 501622 521856 539523 540672 547224 558976 608256 609792 615627 618496 628848 630436 637824 659417 686016 695808 717552 719364 729632 752433 811008 813056 820836 838464 850432 884736 914688 927744 943272 945654 956736 959152 1003244 1043712 1079046 1081344 1094448 1117952 1216512 1219584 1231254 1236992 1257696 1260872 1275648 1318834 1372032 1391616 1418481 1435104 1438728 1459264 1504866 1618569 1622016 1626112 1641672 1676928 1700864 1733699 1829376 1855488 1886544 1891308 1913472 1918304 1978251 2006488 2087424 2158092 2188896 2235904 2257299 2433024 2439168 2462508 2473984 2515392 2521744 2551296 2637668 2744064 2783232 2836962 2870208 2877456 2918528 3009732 3237138 3244032 3252224 3283344 3353856 3401728 3467398 3658752 3710976 3773088 3782616 3826944 3836608 3956502 4012976 4174848 4255443 4316184 4377792 4471808 4514598 4866048 4878336 4925016 4947968 5030784 5043488 5102592 5201097 5275336 5488128 5566464 5673924 5740416 5754912 5837056 5934753 6019464 6474276 6504448 6566688 6707712 6771897 6803456 6934796 7317504 7421952 7546176 7565232 7653888 7673216 7913004 8025952 8349696 8510886 8632368 8755584 8943616 9029196 9051997 9732096 9756672 9850032 10061568 10086976 10205184 10402194 10550672 10976256 11132928 11347848 11480832 11509824 11674112 11869506 12038928 12948552 13008896 13133376 13415424 13543794 13606912 13869592 14635008 14843904 15092352 15130464 15307776 15346432 15603291 15826008 16051904 16699392 17021772 17264736 17511168 17804259 17887232 18058392 18103994 19513344 19700064 20123136 20173952 20410368 20804388 21101344 21952512 22265856 22695696 22961664 23019648 23348224 23739012 23798959 24077856 25897104 26266752 26830848 27087588 27155991 27213824 27739184 29270016 30184704 30260928 30615552 30692864 31206582 31652016 32103808 33398784 34043544 34529472 35022336 35608518 35774464 36116784 36207988 39026688 39400128 40246272 40347904 40820736 41608776 42202688 43905024 44531712 45391392 45923328 46039296 46696448 46809873 47478024 47597918 48155712 51794208 52533504 53661696 54175176 54311982 54427648 55478368 58540032 60369408 60521856 61231104 61385728 62413164 63304032 64207616 66797568 68087088 69058944 70044672 71217036 71396877 71548928 72233568 72415976 78800256 80492544 80695808 81467973 81641472 83217552 84405376 87810048 90782784 91846656 92078592 93392896 93619746 94956048 95195836 96311424 99571967 103588416 105067008 107323392 108350352 108623964 110956736 117080064 120738816 121043712 122462208 122771456 124826328 126608064 128415232 133595136 136174176 138117888 140089344 142434072 142793754 143097856 144467136 144831952 157600512 160985088 161391616 162935946 163282944 166435104 168810752 175620096 181565568 183693312 184157184 186785792 187239492 189912096 190391672 192622848 199143934 207176832 210134016 214190631 214646784 216700704 217247928 221913472 241477632 242087424 244403919 244924416 245542912 249652656 253216128 256830464 261788549 272348352 276235776 280178688 284868144 285587508 288934272 289663904 298715901 315201024 321970176 322783232 325871892 332870208 337621504 351240192 363131136 367386624 368314368 373571584 374478984 379824192 380783344 385245696 398287868 414353664 420268032 428381262 429293568 433401408 434495856 443826944 482955264 484174848 488807838 489848832 491085824 499305312 506432256 513660928 523577098 544696704 552471552 560357376 569736288 571175016 577868544 579327808 597431802 630402048 642571893 643940352 645566464 651743784 665740416 675243008 726262272 734773248 736628736 747143168 748957968 759648384 761566688 770491392 785365647 796575736 828707328 840536064 856762524 866802816 868991712 887653888 896147703 965910528 968349696 977615676 982171648 998610624 1012864512 1027321856 1047154196 1089393408 1104943104 1120714752 1139472576 1142350032 1155737088 1158655616 1194863604 1260804096 1285143786 1287880704 1291132928 1303487568 1331480832 1350486016 1452524544 1469546496 1473257472 1497915936 1519296768 1523133376 1540982784 1570731294 1593151472 1657414656 1681072128 1713525048 1733605632 1737983424 1775307776 1792295406 1931821056 1936699392 1955231352 1964343296 1997221248 2025729024 2054643712 2094308392 2178786816 2209886208 2241429504 2278945152 2284700064 2311474176 2317311232 2356096941 2389727208 2521608192 2570287572 2582265856 2606975136 2662961664 2688443109 2700972032 2905049088 2946514944 2995831872 3038593536 3046266752 3081965568 3141462588 3186302944 3314829312 3362144256 3427050096 3467211264 3475966848 3550615552 3584590812 3593642809 3863642112 3873398784 3910462704 3994442496 4051458048 4109287424 4188616784 4357573632 4419772416 4557890304 4569400128 4622948352 4634622464 4712193882 4779454416 5043216384 5140575144 5164531712 5213950272 5325923328 5376886218 5401944064 5810098176 5893029888 5991663744 6077187072 6092533504 6163931136 6282925176 6372605888 6629658624 6724288512 6854100192 6934422528 6951933696 7068290823 7101231104 7169181624 7187285618 7746797568 7820925408 7988884992 8102916096 8218574848 8377233568 8715147264 8839544832 9115780608 9138800256 9245896704 9269244928 9424387764 9558908832 10086432768 10281150288 10427900544 10651846656 10753772436 10780928427 10803888128 11620196352 11983327488 12154374144 12185067008 12327862272 12565850352 12745211776 13259317248 13708200384 13868845056 13903867392 14136581646 14202462208 14338363248 14374571236 15493595136 15641850816 15977769984 16205832192 16754467136 17430294528 17679089664 18231561216 18277600512 18491793408 18538489856 18848775528 19117817664 20172865536 20562300576 20855801088 21303693312 21507544872 21561856854 21607776256 23240392704 23966654976 24308748288 24370134016 24655724544 25131700704 25490423552 26518634496 27416400768 27737690112 27807734784 28273163292 28404924416 28676726496 28749142472 31283701632 31955539968 32342785281 32411664384 33508934272 34860589056 36463122432 36555201024 36983586816 37076979712 37697551056 38235635328 39530070899 41124601152 41711602176 42607386624 43015089744 43123713708 46480785408 47933309952 48617496576 48740268032 50263401408 50980847104 53037268992 54832801536 55475380224 55615469568 56546326584 56809848832 57353452992 57498284944 62567403264 63911079936 64685570562 64823328768 67017868544 69721178112 72926244864 73110402048 73967173632 74153959424 75395102112 76471270656 79060141798 82249202304 83423204352 85214773248 86030179488 86247427416 95866619904 97028355843 97234993152 97480536064 100526802816 101961694208 109665603072 110950760448 111230939136 113092653168 114706905984 114996569888 118590212697 125134806528 127822159872 129371141124 134035737088 139442356224 145852489728 146220804096 148307918848 150790204224 152942541312 158120283596 164498404608 166846408704 170429546496 172060358976 172494854832 191733239808 194056711686 194469986304 194961072128 201053605632 203923388416 219331206144 221901520896 222461878272 226185306336 229413811968 229993139776 237180425394 250269613056 255644319744 258742282248 268071474176 291704979456 292441608192 296615837696 301580408448 305885082624 316240567192 328996809216 333692817408 344120717952 344989709664 355770638091 383466479616 388113423372 389922144256 402107211264 407846776832 438662412288 444923756544 452370612672 458827623936 459986279552 474360850788 500539226112 511288639488 517484564496 536142948352 583409958912 584883216384 603160816896 611770165248 632481134384 657993618432 667385634816 688241435904 689979419328 711541276182 766932959232 776226846744 779844288512 804214422528 815693553664 877324824576 889847513088 904741225344 917655247872 919972559104 948721701576 1001078452224 1034969128992 1067311914273 1072285896704 1169766432768 1206321633792 1223540330496 1264962268768 1315987236864 1334771269632 1376482871808 1379958838656 1423082552364 1533865918464 1552453693488 1608428845056 1631387107328 1754649649152 1809482450688 1835310495744 1839945118208 1897443403152 2002156904448 2069938257984 2134623828546 2144571793408 2339532865536 2412643267584 2447080660992 2529924537536 2631974473728 2669542539264 2752965743616 2759917677312 2846165104728 3104907386976 3216857690112 3262774214656 3509299298304 3618964901376 3670620991488 3679890236416 3794886806304 4004313808896 4139876515968 4269247657092 4289143586816 4825286535168 4894161321984 5059849075072 5263948947456 5505931487232 5519835354624 5692330209456 6209814773952 6433715380224 7018598596608 7237929802752 7341241982976 7359780472832 7589773612608 8008627617792 8279753031936 8538495314184 8578287173632 9650573070336 9788322643968 10119698150144 10527897894912 11011862974464 11039670709248 11384660418912 12419629547904 12867430760448 14475859605504 14682483965952 14719560945664 15179547225216 16559506063872 17076990628368 19301146140672 20239396300288 21055795789824 22023725948928 22079341418496 22769320837824 24839259095808 25734861520896 28951719211008 29364967931904 29439121891328 30359094450432 33119012127744 34153981256736 38602292281344 40478792600576 44047451897856 44158682836992 45538641675648 49678518191616 57903438422016 58878243782656 60718188900864 66238024255488 68307962513472 77204584562688 80957585201152 88094903795712 88317365673984 91077283351296 99357036383232 115806876844032 117756487565312 121436377801728 132476048510976 136615925026944 161915170402304 176634731347968 182154566702592 198714072766464 231613753688064 242872755603456 264952097021952 273231850053888 323830340804608 353269462695936 364309133405184 397428145532928 485745511206912 529904194043904 546463700107776 647660681609216 728618266810368 794856291065856 971491022413824 1059808388087808 1092927400215552 1295321363218432 1457236533620736 1589712582131712 1942982044827648 2185854800431104 2914473067241472 3179425164263424 3885964089655296 4371709600862208 5828946134482944 8743419201724416 11657892268965888 17486838403448832 34973676806897664
• Sum of all divisors σ(n): 114085467198712800
• Sum of proper divisors (its aliquot sum) s(n): 79111790391815136
• 34973676806897664 is an abundant number, because the sum of its proper divisors (79111790391815136) is greater than itself. Its abundance is 44138113584917472

Bases of 34973676806897664

• Binary: 1111100010000000101111110101110100100001000000000000000₂
• Hexadecimal: 0x7C405FAE908000
• Base-36: 9KD4TBL91C0

Squares and roots of 34973676806897664

• 34973676806897664 squared (34973676806897664²) is 1223158069393331582869568168656896
• 34973676806897664 cubed (34973676806897664³) is 42778335002711284236076578785396607847703399890944
• The square root of 34973676806897664 is 187012504.4132013757
• The cube root of 34973676806897664 is 327024.6057756143

Scales and comparisons

• 34,973,676,806,897,664 seconds is equal to 1,112,054,741 years, 40 weeks, 1 day, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 34,973,676,806,897,664 would take you about three billion, three hundred thirty-six million, one hundred sixty-four thousand, two hundred twenty-five 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 34973676806897664 cubic inches would be around 27252.1 feet tall.

Recreational maths with 34973676806897664

• 34973676806897664 backwards is 46679860867637943
• 34973676806897664 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 34973676806897664's digits is 99
• More coming soon!