998120778388463919168

Names of 998120778388463919168

• Cardinal: 998120778388463919168 can be written as Nine hundred ninety-eight quintillion, one hundred twenty quadrillion, seven hundred seventy-eight trillion, three hundred eighty-eight billion, four hundred sixty-three million, nine hundred nineteen thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 9.98120778388463919168 × 10²⁰

Factors of 998120778388463919168

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 118985

Divisors of 998120778388463919168

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 144 147 168 189 192 196 216 224 252 288 294 336 343 378 392 432 441 448 504 576 588 672 686 756 784 864 882 1008 1029 1176 1323 1344 1372 1512 1568 1728 1764 2016 2058 2352 2646 2744 3024 3087 3136 3528 4032 4116 4704 5292 5488 6048 6174 7056 8232 9261 9408 10584 10976 12096 12348 14112 16464 18522 21168 21952 24696 28224 32928 37044 42336 49392 65856 74088 84672 98784 118973 148176 197568 237946 296352 356919 475892 592704 713838 832811 951784 1070757 1427676 1665622 1903568 2141514 2498433 2855352 3212271 3331244 3807136 4283028 4996866 5710704 5829677 6424542 6662488 7495299 7614272 8566056 9993732 11421408 11659354 12849084 13324976 14990598 17132112 17489031 19987464 22485897 22842816 23318708 25698168 26649952 29981196 34264224 34978062 39974928 40807739 44971794 46637416 51396336 52467093 53299904 59962392 68528448 69956124 79949856 81615478 89943588 93274832 102792672 104934186 119924784 122423217 139912248 157401279 159899712 163230956 179887176 186549664 205585344 209868372 239849568 244846434 279824496 314802558 326461912 359774352 367269651 373099328 419736744 479699136 489692868 559648992 629605116 652923824 719548704 734539302 839473488 979385736 1101808953 1119297984 1259210232 1305847648 1439097408 1469078604 1678946976 1958771472 2203617906 2518420464 2611695296 2938157208 3357893952 3917542944 4407235812 5036840928 5876314416 7835085888 8814471624 10073681856 11752628832 14154574729 17628943248 23505257664 28309149458 35257886496 42463724187 56618298916 70515772992 84927448374 99082023103 113236597832 127391172561 169854896748 198164046206 226473195664 254782345122 297246069309 339709793496 382173517683 396328092412 452946391328 509564690244 594492138618 679419586992 693574161721 764347035366 792656184824 891738207927 905892782656 1019129380488 1188984277236 1358839173984 1387148323442 1528694070732 1585312369648 1783476415854 2038258760976 2080722485163 2377968554472 2675214623781 2717678347968 2774296646884 3057388141464 3170624739296 3566952831708 4076517521952 4161444970326 4755937108944 4855019132047 5350429247562 5548593293768 6114776282928 6242167455489 6341249478592 7133905663416 8153035043904 8322889940652 9511874217888 9710038264094 10700858495124 11097186587536 12229552565856 12484334910978 14267811326832 14565057396141 16645779881304 18726502366467 19023748435776 19420076528188 21401716990248 22194373175072 24459105131712 24968669821956 28535622653664 29130114792282 33291559762608 37453004732934 38840153056376 42803433980496 43695172188423 44388746350144 49937339643912 57071245307328 58260229584564 66583119525216 74906009465868 77680306112752 85606867960992 87390344376846 99874679287824 116520459169128 131085516565269 133166239050432 149812018931736 155360612225504 171213735921984 174780688753692 199749358575648 233040918338256 262171033130538 299624037863472 310721224451008 349561377507384 399498717151296 466081836676512 524342066261076 599248075726944 699122755014768 932163673353024 1048684132522152 1198496151453888 1398245510029536 2097368265044304 2796491020059072 4194736530088608 8389473060177216
• Sum of all divisors σ(n): 998141151253008237952
• Sum of proper divisors (its aliquot sum) s(n): 20372864544318784
• 998120778388463919168 is a deficient number, because the sum of its proper divisors (20372864544318784) is less than itself. Its deficiency is 998100405523919600384

Bases of 998120778388463919168

• Binary: 1101100001101110110101010101111010110001111100110001111010000001000000₂
• Hexadecimal: 0x361BB557AC7CC7A040
• Base-36: 5UN94UNNGYUMO0

Squares and roots of 998120778388463919168

• 998120778388463919168 squared (998120778388463919168²) is 996245088250793102600690761903362437812224
• 998120778388463919168 cubed (998120778388463919168³) is 994372922950565542118608404928963543958105756659967210698309632
• The square root of 998120778388463919168 is 31593049526.5725166617
• 998120778388463919168 is a perfect cube number. Its cube root is 9993732

Scales and comparisons

• 998,120,778,388,463,919,168 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 998,120,778,388,463,919,168 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 998120778388463919168 cubic inches would be around 832811 feet tall.

Recreational maths with 998120778388463919168

• 998120778388463919168 backwards is 861919364883877021899
• The number of decimal digits it has is: 21
• The sum of 998120778388463919168's digits is 117
• More coming soon!