220013888069613628977

Names of 220013888069613628977

• Cardinal: 220013888069613628977 can be written as Two hundred twenty quintillion, thirteen quadrillion, eight hundred eighty-eight trillion, sixty-nine billion, six hundred thirteen million, six hundred twenty-eight thousand, nine hundred seventy-seven.

Scientific notation

• Scientific notation: 2.20013888069613628977 × 10²⁰

Factors of 220013888069613628977

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 274960

Divisors of 220013888069613628977

• Number of divisors d(n): 256
• Complete list of divisors:
  1 3 7 21 89 109 199 267 327 597 623 763 1393 1869 2289 3677 4179 5563 9701 11031 16689 17711 21691 25739 29103 38941 53133 65073 67907 77217 116823 123977 151837 203721 265313 327253 371931 400793 455511 495107 606367 731723 795939 981759 1107037 1202379 1485321 1819101 1857191 1930499 2195169 2290771 2805551 3321111 3465749 4244569 5122061 5571573 5791497 6872313 7749259 8416653 10397247 12733707 13513493 15366183 20455151 23247777 23612857 28919117 35670577 40540479 52797287 53966663 61365453 65123347 70838571 79757807 86757351 98526293 107011731 120667033 143186057 158391861 161899989 165289999 195370041 202433819 239273421 249694039 295578879 362001099 369581009 377766641 429558171 455863429 495869997 558304649 607301457 689684051 749082117 844669231 975555901 1108743027 1133299923 1367590287 1475936219 1674913947 1820508439 2069052153 2229611459 2534007693 2573801413 2926667703 4070575049 4427808657 4698958543 5461525317 5754904283 6688834377 6828891307 7098444823 7721404239 10331553533 10739365937 12211725147 12743559073 14096875629 15607280213 17264712849 18016609891 20486673921 21295334469 28494025343 30994660599 32218097811 32892709801 38230677219 40284329981 46821840639 49689113761 54049829673 75175561559 85482076029 86824475189 98678129403 106335593209 120852989943 131358323491 149067341283 160877047871 194135624299 198435419851 225526684677 260473425567 293711307581 319006779627 362281179361 394074970473 443692680341 482631143613 512186481187 582406872897 595306259553 607771326323 744349152463 881133922743 919508264437 1086843538083 1126139335097 1331078041023 1358949370093 1389047938957 1536559443561 1823313978969 2055979153067 2233047457389 2535968255527 2758524793311 3105848762387 3378418005291 3585305368309 4076848110279 4167143816871 5427017477263 6167937459201 7607904766581 9317546287161 9463867795601 10755916104927 14318057260519 16281052431789 17278070562611 21160783048591 26140306374709 28391603386803 32014532526329 37989122340841 39488648550349 42954171781557 51834211687833 63482349145773 66247074569207 78420919124127 96043597578987 100226400823633 113967367022523 118465945651047 120946493938277 148125481340137 182982144622963 198741223707621 224101727684303 276420539852443 300679202470899 362839481814831 444376444020411 483004555476407 548946433868889 591544905021667 672305183052909 829261619557329 1079976477975337 1449013666429221 1774634715065001 1883309691324599 2849293394843281 3239929433926011 3381031888334849 4140814335151669 5649929073973797 7559835345827359 8547880184529843 10143095665004547 12422443005455007 13183167839272193 19945053763902967 22679506037482077 39549503517816579 52647496546928363 59835161291708901 96117906539804993 117717436099311733 157942489640785089 288353719619414979 353152308297935199 368532475828498541 672825345778634951 824022052695182131 1105597427485495623 2018476037335904853 2472066158085546393 10476851812838744237 31430555438516232711 73337962689871209659 220013888069613628977
• Sum of all divisors σ(n): 344012467334215680000
• Sum of proper divisors (its aliquot sum) s(n): 123998579264602051023
• 220013888069613628977 is a deficient number, because the sum of its proper divisors (123998579264602051023) is less than itself. Its deficiency is 96015308805011577954

Bases of 220013888069613628977

• Binary: 10111110110101001110010110011000010000001001110111111010111000110001₂
• Hexadecimal: 0xBED4E598409DFAE31
• Base-36: 1AFK8U8IM4MECX

Squares and roots of 220013888069613628977

• 220013888069613628977 squared (220013888069613628977²) is 48406110943508474342884522491347414066529
• 220013888069613628977 cubed (220013888069613628977³) is 10650016675010372848567167267905677956191406530387740600210833
• The square root of 220013888069613628977 is 14832865133.5341692635
• The cube root of 220013888069613628977 is 6036937.7638940807

Scales and comparisons

• 220,013,888,069,613,628,977 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 220,013,888,069,613,628,977 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 220013888069613628977 cubic inches would be around 503078.1 feet tall.

Recreational maths with 220013888069613628977

• 220013888069613628977 backwards is 779826316960888310022
• The number of decimal digits it has is: 21
• The sum of 220013888069613628977's digits is 96
• More coming soon!