998374998033196646401

Names of 998374998033196646401

• Cardinal: 998374998033196646401 can be written as Nine hundred ninety-eight quintillion, three hundred seventy-four quadrillion, nine hundred ninety-eight trillion, thirty-three billion, one hundred ninety-six million, six hundred forty-six thousand, four hundred one.

Scientific notation

• Scientific notation: 9.98374998033196646401 × 10²⁰

Factors of 998374998033196646401

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 7293978

Divisors of 998374998033196646401

• Number of divisors d(n): 144
• Complete list of divisors:
  1 7 11 49 73 77 131 511 539 803 917 1441 3577 5621 6419 9563 10087 17161 39347 66941 70609 105193 120127 188771 208687 468587 736351 840889 1252753 1321397 1460809 2295557 5154457 7085069 8769271 9249779 10225663 13780283 15234151 16068899 27337997 49595483 61384897 77935759 96461981 106639057 112482293 167575661 191365979 300717967 347168381 517210037 545550313 675233867 746473399 928144039 1173029627 1339561853 1995673781 2105025769 3581277607 3620470259 3818852191 5689310407 6497008273 8211207389 10209584429 13969716467 14735180383 21952411591 25068943249 25343291813 39394053677 39825172849 45479057911 67754514847 71467091003 97788015269 121586869109 153666881137 175482602743 261433265311 275758375739 278776209943 474281603929 500269637021 745299663317 851108083763 1075668167959 1337455560199 1478561794403 1830032857177 1930308630173 2875765918421 3319971227503 5217097643219 5957756586341 8875841444957 9362188921393 10349932560821 12810230000239 16264179738433 20130361428947 36519683502533 62130890114699 65535322449751 72449527925747 97634255894527 107935010991419 113849258169031 140912530002629 193691595066793 434916230802893 683439791261689 755545076939933 796944807183217 1187285120905609 1355841165467551 2130607545734723 4784078538831823 5288815538579531 8310995846339263 9490888158272857 14139486439875889 14914252820143061 25373598953749883 58176970924374841 98976405079131223 104399769741001427 155534350838634779 177615192676249181 279109588491248713 692834835553918561 1088740455870443453 1243306348733744267 1852272723623741459 1953767119438740991 7621183191093104171 12965909065366190213 13676369836071186937 20374999959861156049 90761363457563331491 142624999719028092343 998374998033196646401
• Sum of all divisors σ(n): 1294195201546339342080
• Sum of proper divisors (its aliquot sum) s(n): 295820203513142695679
• 998374998033196646401 is a deficient number, because the sum of its proper divisors (295820203513142695679) is less than itself. Its deficiency is 702554794520053950722

Bases of 998374998033196646401

• Binary: 1101100001111100111100100000110001100000000000000000000000000000000001₂
• Hexadecimal: 0x361F3C831800000001
• Base-36: 5UP6O000000001

Squares and roots of 998374998033196646401

• 998374998033196646401 squared (998374998033196646401²) is 996752636697785407569512181728273026252801
• 998374998033196646401 cubed (998374998033196646401³) is 995132911702735077716361707768802983853489678586298424832819201
• The square root of 998374998033196646401 is 31597072618.0954403681
• The cube root of 998374998033196646401 is 9994580.3900907843

Scales and comparisons

• 998,374,998,033,196,646,401 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 998,374,998,033,196,646,401 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 998374998033196646401 cubic inches would be around 832881.7 feet tall.

Recreational maths with 998374998033196646401

• 998374998033196646401 backwards is 104646691330899473899
• The number of decimal digits it has is: 21
• The sum of 998374998033196646401's digits is 109
• More coming soon!