948240085738887601

Names of 948240085738887601

• Cardinal: 948240085738887601 can be written as Nine hundred forty-eight quadrillion, two hundred forty trillion, eighty-five billion, seven hundred thirty-eight million, eight hundred eighty-seven thousand, six hundred one.

Scientific notation

• Scientific notation: 9.48240085738887601 × 10¹⁷

Factors of 948240085738887601

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 463

Divisors of 948240085738887601

• Number of divisors d(n): 243
• Complete list of divisors:
  1 11 41 79 121 151 181 451 869 1661 1681 1991 3239 4961 6191 6241 7421 9559 11929 14299 18271 18491 21901 22801 27331 32761 35629 68101 68651 81631 131219 132799 157289 203401 250811 253831 255881 300641 304261 360371 391919 489089 586259 749111 755161 897941 934841 942391 1120571 1129621 1343201 1443409 1460789 1730179 1801279 2159149 2588119 2758921 2792141 2814691 3307051 3346871 3964081 4126981 4946911 5379979 6448849 10283251 10366301 10491121 12326281 12425831 14775211 16068679 19814069 20052649 23750639 24036619 28469309 30713551 30961601 36815581 38328481 38638031 45396791 45943411 46314461 54416021 55071241 59179769 70937339 73852439 88525109 106112879 113115761 114029311 115402331 135589091 136684141 142301041 162527321 169206221 170572771 202823351 204461401 217954759 220579139 261257029 264402809 313162399 326031499 390805969 421613291 425018341 499364701 505377521 509459071 598576231 605783651 746983561 812376829 973776199 1167241669 1269425641 1565311451 1584159271 1861268431 1876300481 1898892901 2231056861 2249075411 2426370529 2908430899 3027949999 3586346489 3629529469 4298865659 4350628039 4637746201 4675201751 5559152731 5604049781 5834342681 6663620161 6937455061 6993483611 8216819171 8315757391 8382917441 8936145119 10711538189 12839658359 13367291459 16023044729 17218425961 17425751981 20473952741 20639305291 20887821911 24541625471 24739829521 25756488421 30626326001 30873671551 33307449989 39449811379 39924824159 47287522249 47856908429 59011701319 64177769491 76312005671 76928319721 90385010881 91473331301 92212091851 147040206049 176253492019 191683271791 229766041021 239208049921 283321372631 286732828051 336889586011 339610387061 343699615081 366381949879 439173065749 526425992719 548058949819 649128714509 656944833889 705955464401 839432062381 846211516931 1006206644311 1014333010361 1056016025261 1255679366041 1265820533591 1617442266539 1938788412209 2419479754079 2631288549131 3116535098941 3154061108561 3705785446121 3735714257671 3780695765891 4661924404201 6028648448009 7140415859599 7226393172779 11616176277871 13812473026451 13924025869501 26614277294869 28944174040441 34694672194171 41587653424801 43296657035701 51281168446211 51898641877231 66315132928099 79490324900569 99198669917239 127777939056581 151937203290961 153164284564511 191138900572241 292757050243559 476263227392711 564092852908321 570885060649541 1091185369089629 2102527906294651 5238895501319821 6279735667144951 7836694923461881 12003039059985919 23127806969241161 86203644158080691 948240085738887601
• Sum of all divisors σ(n): 1095280388990492481
• Sum of proper divisors (its aliquot sum) s(n): 147040303251604880
• 948240085738887601 is a deficient number, because the sum of its proper divisors (147040303251604880) is less than itself. Its deficiency is 801199782487282721

Bases of 948240085738887601

• Binary: 110100101000110100110101010110000000010000001001100110110001₂
• Hexadecimal: 0xD28D355804099B1
• Base-36: 77CR21NBFZQP

Squares and roots of 948240085738887601

• 948240085738887601 squared (948240085738887601²) is 899159260202092908701327056911535201
• 948240085738887601 cubed (948240085738887601³) is 852618853986947325612502812548029551074486798893942801
• 948240085738887601 is a perfect square number. Its square root is 973776199
• The cube root of 948240085738887601 is 982440.1518280633

Scales and comparisons

• 948,240,085,738,887,601 seconds is equal to 30,151,101,627 years, 17 weeks, 1 day, 5 hours, 40 minutes, 1 second.
• To count from 1 to 948,240,085,738,887,601 would take you about ninety billion, four hundred fifty-three million, three hundred four thousand, eight hundred eighty-one 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 948240085738887601 cubic inches would be around 81870 feet tall.

Recreational maths with 948240085738887601

• 948240085738887601 backwards is 106788837580042849
• The number of decimal digits it has is: 18
• The sum of 948240085738887601's digits is 88
• More coming soon!