13123109200813311

Names of 13123109200813311

• Cardinal: 13123109200813311 can be written as Thirteen quadrillion, one hundred twenty-three trillion, one hundred nine billion, two hundred million, eight hundred thirteen thousand, three hundred eleven.

Scientific notation

• Scientific notation: 1.3123109200813311 × 10¹⁶

Factors of 13123109200813311

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 131552

Divisors of 13123109200813311

• Number of divisors d(n): 192
• Complete list of divisors:
  1 3 7 21 49 61 79 147 183 237 331 343 427 553 993 1029 1281 1659 2317 2989 3721 3871 4819 6951 8967 11163 11613 14457 16219 20191 20923 26047 26149 27097 33733 48657 60573 62769 78141 78447 81291 101199 113533 131071 141337 182329 183043 236131 293959 340599 393213 424011 546987 549129 708393 881877 917497 989359 1231651 1276303 1281301 1595089 1652917 2057713 2752491 2968077 3694953 3828909 3843903 4785267 4958751 6173139 6422479 6925513 7995331 8621557 8969107 10354609 11165623 14403991 19267437 20776539 23985993 25864671 26907321 31063827 33496869 43211973 43384501 44957353 55967317 60350899 72482263 78159361 97300429 100827937 130153503 134872059 167901951 181052697 217446789 234478083 291901287 302483811 303691507 391771219 422456293 487715191 507375841 547115527 631631149 681103003 911074521 1175313657 1267368879 1463145573 1522127523 1641346581 1894893447 2043309009 2125840549 2646454561 2742398533 3414006337 3427375579 3551630887 4421418043 4767721021 6377521647 7939363683 8227195599 10242019011 10282126737 10654892661 13264254129 14303163063 14880883843 18525181927 23898044359 23991629053 30949926301 33374047147 38529500089 44642651529 55575545781 71694133077 71974887159 92849778903 100122141441 115588500267 129676273489 161433728221 167286310513 167941403371 209069910319 216649484107 269706500623 389028820467 484301184663 501858931539 503824210113 627209730957 649948452321 809119501869 907733914423 1130036097547 1175589823597 1463489372233 1887945504361 2723201743269 3390108292641 3526769470791 4390468116699 5663836513083 7910252682829 10244425605631 12753264529459 13215618530527 23730758048487 30733276816893 38259793588377 39646855591581 55371768779803 71710979239417 89272851706213 166115306339409 215132937718251 267818555118639 624909961943491 1874729885830473 4374369733604437 13123109200813311
• Sum of all divisors σ(n): 21071445098496000
• Sum of proper divisors (its aliquot sum) s(n): 7948335897682689
• 13123109200813311 is a deficient number, because the sum of its proper divisors (7948335897682689) is less than itself. Its deficiency is 5174773303130622

Bases of 13123109200813311

• Binary: 101110100111110110010111110110010000110101110011111111₂
• Hexadecimal: 0x2E9F65F6435CFF
• Base-36: 3L7R551IX33

Squares and roots of 13123109200813311

• 13123109200813311 squared (13123109200813311²) is 172215995096470978133783874782721
• 13123109200813311 cubed (13123109200813311³) is 2260009309777718343868363905669739853116609599231
• The square root of 13123109200813311 is 114556139.9524849169
• The cube root of 13123109200813311 is 235873.3712185865

Scales and comparisons

• 13,123,109,200,813,311 seconds is equal to 417,274,280 years, 7 weeks, 3 days, 9 hours, 1 minute, 51 seconds.
• To count from 1 to 13,123,109,200,813,311 would take you about one billion, two hundred fifty-one million, eight hundred twenty-two thousand, eight hundred forty 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 13123109200813311 cubic inches would be around 19656.1 feet tall.

Recreational maths with 13123109200813311

• 13123109200813311 backwards is 11331800290132131
• The number of decimal digits it has is: 17
• The sum of 13123109200813311's digits is 39
• More coming soon!