90384525917421568

Names of 90384525917421568

• Cardinal: 90384525917421568 can be written as Ninety quadrillion, three hundred eighty-four trillion, five hundred twenty-five billion, nine hundred seventeen million, four hundred twenty-one thousand, five hundred sixty-eight.

Scientific notation

• Scientific notation: 9.0384525917421568 × 10¹⁶

Factors of 90384525917421568

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 30
• Sum of prime factors: 273

Divisors of 90384525917421568

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 211 212 224 256 343 371 392 422 424 448 512 686 742 784 844 848 896 1024 1372 1477 1484 1568 1688 1696 1792 2048 2597 2744 2809 2954 2968 3136 3376 3392 3584 4096 5194 5488 5618 5908 5936 6272 6752 6784 7168 8192 10339 10388 10976 11183 11236 11816 11872 12544 13504 13568 14336 16384 18179 19663 20678 20776 21952 22366 22472 23632 23744 25088 27008 27136 28672 32768 36358 39326 41356 41552 43904 44732 44944 47264 47488 50176 54016 54272 57344 65536 72373 72716 78281 78652 82712 83104 87808 89464 89888 94528 94976 100352 108032 108544 114688 131072 137641 144746 145432 148877 156562 157304 165424 166208 175616 178928 179776 189056 189952 200704 216064 217088 229376 262144 275282 289492 290864 297754 313124 314608 330848 332416 351232 357856 359552 378112 379904 401408 432128 434176 458752 524288 547967 550564 578984 581728 592699 595508 626248 629216 661696 664832 702464 715712 719104 756224 759808 802816 864256 868352 917504 963487 1042139 1048576 1095934 1101128 1157968 1163456 1185398 1191016 1252496 1258432 1323392 1329664 1404928 1431424 1438208 1512448 1519616 1605632 1728512 1736704 1835008 1926974 2084278 2097152 2191868 2202256 2315936 2326912 2370796 2382032 2504992 2516864 2646784 2659328 2809856 2862848 2876416 3024896 3039232 3211264 3457024 3473408 3670016 3835769 3853948 4148893 4168556 4194304 4383736 4404512 4631872 4653824 4741592 4764064 5009984 5033728 5293568 5318656 5619712 5725696 5752832 6049792 6078464 6422528 6914048 6946816 7294973 7340032 7671538 7707896 8297786 8337112 8388608 8767472 8809024 9263744 9307648 9483184 9528128 10019968 10067456 10587136 10637312 11239424 11451392 11505664 12099584 12156928 12845056 13828096 13893632 14589946 14680064 15343076 15415792 16595572 16674224 17534944 17618048 18527488 18615296 18966368 19056256 20039936 20134912 21174272 21274624 22478848 22902784 23011328 24199168 24313856 25690112 27656192 27787264 29042251 29179892 29360128 30686152 30831584 31413047 33191144 33348448 35069888 35236096 37054976 37230592 37932736 38112512 40079872 40269824 42348544 42549248 44957696 45805568 46022656 48398336 48627712 51064811 51380224 55312384 55574528 58084502 58359784 58720256 61372304 61663168 62826094 66382288 66696896 70139776 70472192 74109952 74461184 75865472 76225024 80159744 80539648 84697088 85098496 89915392 91611136 92045312 96796672 97255424 102129622 102760448 110624768 111149056 116169004 116719568 122744608 123326336 125652188 132764576 133393792 140279552 140944384 148219904 148922368 151730944 152450048 160319488 161079296 169394176 170196992 179830784 183222272 184090624 193593344 194510848 203295757 204259244 205520896 219891329 221249536 222298112 232338008 233439136 245489216 246652672 251304376 265529152 266787584 280559104 281888768 296439808 297844736 303461888 304900096 320638976 322158592 338788352 340393984 359661568 366444544 368181248 387186688 389021696 406591514 408518488 411041792 439782658 442499072 444596224 464676016 466878272 490978432 493305344 502608752 531058304 533575168 561118208 563777536 592879616 595689472 606923776 609800192 641277952 644317184 677576704 680787968 719323136 732889088 736362496 774373376 778043392 813183028 817036976 879565316 884998144 929352032 933756544 981956864 986610688 1005217504 1062116608 1067150336 1122236416 1127555072 1185759232 1191378944 1213847552 1219600384 1282555904 1288634368 1355153408 1361575936 1438646272 1465778176 1472724992 1539239303 1548746752 1556086784 1626366056 1634073952 1759130632 1769996288 1858704064 1867513088 1963913728 1973221376 2010435008 2124233216 2134300672 2244472832 2255110144 2371518464 2382757888 2427695104 2439200768 2565111808 2577268736 2710306816 2723151872 2877292544 2931556352 2945449984 3078478606 3097493504 3112173568 3252732112 3268147904 3518261264 3717408128 3735026176 3927827456 3946442752 4020870016 4248466432 4268601344 4488945664 4510220288 4743036928 4765515776 4855390208 4878401536 5130223616 5154537472 5420613632 5446303744 5863112704 5890899968 6156957212 6194987008 6505464224 6536295808 7036522528 7434816256 7470052352 7855654912 7892885504 8041740032 8496932864 8537202688 8977891328 9020440576 9486073856 9531031552 9710780416 9756803072 10260447232 10309074944 10774675121 10841227264 10892607488 11726225408 11781799936 12313914424 12389974016 13010928448 13072591616 14073045056 14869632512 14940104704 15711309824 15785771008 16083480064 16993865728 17074405376 17955782656 18040881152 18972147712 19062063104 19421560832 19513606144 20520894464 20618149888 21549350242 21682454528 21785214976 23452450816 23563599872 24627828848 26021856896 26145183232 28146090112 29739265024 29880209408 31422619648 31571542016 32166960128 33987731456 34148810752 35911565312 36081762304 37944295424 38124126208 38843121664 39027212288 41041788928 41236299776 43098700484 43364909056 46904901632 49255657696 52043713792 52290366464 56292180224 59478530048 59760418816 62845239296 63143084032 64333920256 67975462912 68297621504 71823130624 72163524608 75888590848 76248252416 77686243328 78054424576 82083577856 82472599552 86197400968 86729818112 93809803264 98511315392 104087427584 104580732928 112584360448 118957060096 119520837632 125690478592 126286168064 128667840512 135950925824 136595243008 143646261248 144327049216 151777181696 152496504832 155372486656 156108849152 164167155712 164945199104 172394801936 197022630784 208174855168 209161465856 225168720896 237914120192 239041675264 251380957184 252572336128 257335681024 271901851648 273190486016 287292522496 288654098432 303554363392 310744973312 312217698304 328334311424 344789603872 394045261568 416349710336 418322931712 450337441792 475828240384 478083350528 502761914368 505144672256 514671362048 543803703296 546380972032 574585044992 577308196864 607108726784 621489946624 624435396608 656668622848 689579207744 788090523136 832699420672 836645863424 900674883584 951656480768 956166701056 1005523828736 1010289344512 1029342724096 1087607406592 1092761944064 1149170089984 1154616393728 1242979893248 1248870793216 1379158415488 1576181046272 1665398841344 1673291726848 1801349767168 1903312961536 1912333402112 2011047657472 2020578689024 2058685448192 2175214813184 2185523888128 2298340179968 2485959786496 2758316830976 3152362092544 3330797682688 3346583453696 3602699534336 3806625923072 3824666804224 4022095314944 4041157378048 4117370896384 4350429626368 4371047776256 4596680359936 4971919572992 5516633661952 6304724185088 6661595365376 6693166907392 7205399068672 7613251846144 7649333608448 8044190629888 8082314756096 8234741792768 8700859252736 8742095552512 11033267323904 12609448370176 13323190730752 13386333814784 14410798137344 15226503692288 15298667216896 16088381259776 16469483585536 17401718505472 22066534647808 25218896740352 26646381461504 26772667629568 28821596274688 30453007384576 30597334433792 32176762519552 32938967171072 34803437010944 44133069295616 50437793480704 53292762923008 53545335259136 57643192549376 60906014769152 61194668867584 65877934342144 88266138591232 100875586961408 106585525846016 107090670518272 115286385098752 121812029538304 131755868684288 176532277182464 201751173922816 213171051692032 214181341036544 230572770197504 243624059076608 263511737368576 353064554364928 403502347845632 426342103384064 428362682073088 461145540395008 706129108729856 807004695691264 852684206768128 922291080790016 1412258217459712 1614009391382528 1705368413536256 1844582161580032 2824516434919424 3228018782765056 5649032869838848 6456037565530112 11298065739677696 12912075131060224 22596131479355392 45192262958710784 90384525917421568
• Sum of all divisors σ(n): 215881686427680000
• Sum of proper divisors (its aliquot sum) s(n): 125497160510258432
• 90384525917421568 is an abundant number, because the sum of its proper divisors (125497160510258432) is greater than itself. Its abundance is 35112634592836864

Bases of 90384525917421568

• Binary: 101000001000111000011111101011000100000000000000000000000₂
• Hexadecimal: 0x1411C3F58800000
• Base-36: OPYN1ZJXGCG

Squares and roots of 90384525917421568

• 90384525917421568 squared (90384525917421568²) is 8169362525317051138532733431578624
• 90384525917421568 cubed (90384525917421568³) is 738383958898331519093799060813739454518481945362432
• The square root of 90384525917421568 is 300640193.4496143983
• The cube root of 90384525917421568 is 448777.7961102191

Scales and comparisons

• 90,384,525,917,421,568 seconds is equal to 2,873,948,346 years, 24 weeks, 6 days, 7 hours, 19 minutes, 28 seconds.
• To count from 1 to 90,384,525,917,421,568 would take you about eight billion, six hundred twenty-one million, eight hundred forty-five thousand and thirty-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 90384525917421568 cubic inches would be around 37398.1 feet tall.

Recreational maths with 90384525917421568

• 90384525917421568 backwards is 86512471952548309
• The number of decimal digits it has is: 17
• The sum of 90384525917421568's digits is 79
• More coming soon!