137893422210225683788900

Names of 137893422210225683788900

• Cardinal: 137893422210225683788900 can be written as One hundred thirty-seven sextillion, eight hundred ninety-three quintillion, four hundred twenty-two quadrillion, two hundred ten trillion, two hundred twenty-five billion, six hundred eighty-three million, seven hundred eighty-eight thousand, nine hundred.

Scientific notation

• Scientific notation: 1.378934222102256837889 × 10²³

Factors of 137893422210225683788900

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 541144

Divisors of 137893422210225683788900

• Number of divisors d(n): 243
• Complete list of divisors:
  1 2 4 5 10 20 25 50 100 127 254 508 541 635 1082 1270 2164 2540 2705 3175 5410 6350 10820 12700 13525 16129 27050 32258 54100 64516 68707 80645 137414 161290 274828 292681 322580 343535 403225 540469 585362 687070 806450 1080938 1170724 1374140 1463405 1612900 1717675 2161876 2702345 2926810 3435350 5404690 5853620 6870700 7317025 8725789 10809380 13511725 14634050 17451578 27023450 29268100 34903156 37170487 43628945 54046900 68639563 74340974 87257890 137279126 148681948 174515780 185852435 218144725 274558252 292393729 343197815 371704870 436289450 584787458 686395630 743409740 872578900 929262175 1169574916 1372791260 1461968645 1715989075 1858524350 2923937290 3431978150 3717048700 4720651849 5847874580 6863956300 7309843225 8717224501 9441303698 14619686450 17434449002 18882607396 23603259245 29239372900 34868898004 37134003583 43586122505 47206518490 74268007166 87172245010 94413036980 118016296225 148536014332 158185007389 174344490020 185670017915 217930612525 236032592450 292106739961 316370014778 371340035830 435861225050 472065184900 584213479922 632740029556 742680071660 790925036945 871722450100 928350089575 1168426959844 1460533699805 1581850073890 1856700179150 2921067399610 3163700147780 3713400358300 3954625184725 4716018455041 5842134799220 7302668499025 7909250369450 9432036910082 14605336998050 15818500738900 18864073820164 20089495938403 23580092275205 29210673996100 37097555975047 40178991876806 47160184550410 74195111950094 80357983753612 94320369100820 100447479692015 117900461376025 148390223900188 158029746318901 185487779875235 200894959384030 235800922752050 316059492637802 370975559750470 401789918768060 471601845504100 502237398460075 632118985275604 741951119500940 790148731594505 927438899376175 1004474796920150 1580297463189010 1854877798752350 2008949593840300 2551365984177181 3160594926378020 3709755597504700 3950743657972525 4711389608830969 5102731968354362 7901487315945050 9422779217661938 10205463936708724 12756829920885905 15802974631890100 18845558435323876 20069777782500427 23556948044154845 25513659841771810 40139555565000854 47113896088309690 51027319683543620 63784149604429525 80279111130001708 85494092758525441 94227792176619380 100348888912502135 117784740220774225 127568299208859050 170988185517050882 200697777825004270 235569480441548450 255136598417718100 341976371034101764 401395555650008540 427470463792627205 471138960883096900 501744444562510675 854940927585254410 1003488889125021350 1709881855170508820 2006977778250042700 2137352318963136025 2548861778377554229 4274704637926272050 5097723556755108458 8549409275852544100 10195447113510216916 10857749780332731007 12744308891887771145 21715499560665462014 25488617783775542290 43430999121330924028 50977235567551084580 54288748901663655035 63721544459438855725 108577497803327310070 127443088918877711450 217154995606654620140 254886177837755422900 271443744508318275175 542887489016636550350 1085774978033273100700 1378934222102256837889 2757868444204513675778 5515736888409027351556 6894671110511284189445 13789342221022568378890 27578684442045136757780 34473355552556420947225 68946711105112841894450 137893422210225683788900
• Sum of all divisors σ(n): 302162492116498082448897
• Sum of proper divisors (its aliquot sum) s(n): 164269069906272398659997
• 137893422210225683788900 is an abundant number, because the sum of its proper divisors (164269069906272398659997) is greater than itself. Its abundance is 26375647696046714871097

Bases of 137893422210225683788900

• Binary: 11101001100110011011110100111010011011000100110100101110111110111010001100100₂
• Hexadecimal: 0x1D3337A74D89A5DF7464
• Base-36: MGDDKQDF0D5EDES

Squares and roots of 137893422210225683788900

• 137893422210225683788900 squared (137893422210225683788900²) is 19014595888847561904077531356110572259763210000
• 137893422210225683788900 cubed (137893422210225683788900³) is 2621987699057678370012672032887708519696047700269824696249626369000000
• 137893422210225683788900 is a perfect square number. Its square root is 371340035830
• The cube root of 137893422210225683788900 is 51663185.7970626689

Scales and comparisons

• 137,893,422,210,225,683,788,900 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 137,893,422,210,225,683,788,900 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 137893422210225683788900 cubic inches would be around 4305265.5 feet tall.

Recreational maths with 137893422210225683788900

• 137893422210225683788900 backwards is 009887386522012224398731
• 137893422210225683788900 is a Harshad number.
• The number of decimal digits it has is: 24
• The sum of 137893422210225683788900's digits is 100
• More coming soon!