137813775756379125

Names of 137813775756379125

• Cardinal: 137813775756379125 can be written as One hundred thirty-seven quadrillion, eight hundred thirteen trillion, seven hundred seventy-five billion, seven hundred fifty-six million, three hundred seventy-nine thousand, one hundred twenty-five.

Scientific notation

• Scientific notation: 1.37813775756379125 × 10¹⁷

Factors of 137813775756379125

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 805

Divisors of 137813775756379125

• Number of divisors d(n): 256
• Complete list of divisors:
  1 3 5 13 15 25 39 41 65 75 123 125 195 205 325 375 533 615 743 975 1025 1599 1625 1681 2229 2665 3075 3715 4875 5043 5125 7995 8405 9659 11145 13325 15375 18575 21853 25215 28977 30463 39975 42025 48295 55725 65559 66625 68921 91389 92875 109265 126075 144885 152315 199875 206763 210125 241475 278625 327795 344605 396019 456945 546325 552049 630375 724425 761575 895973 1033815 1188057 1207375 1248983 1638975 1656147 1723025 1980095 2284725 2687919 2731625 2760245 3622125 3746949 3807875 4479865 5169075 5940285 6244915 7176637 8194875 8280735 8615125 9900475 11423625 13439595 13801225 16236779 18734745 21529911 22399325 22634009 25845375 29701425 31224575 35883185 41403675 48710337 49502375 51208303 67197975 67902027 69006125 81183895 93673725 107649555 111996625 113170045 148507125 153624909 156122875 179415925 207018375 243551685 256041515 294242117 335989875 339510135 405919475 410172407 468368625 538247775 565850225 665707939 768124545 882726351 897079625 927994369 1217758425 1230517221 1280207575 1471210585 1697550675 1997123817 2029597375 2050862035 2691238875 2783983107 2829251125 3328539695 3840622725 4413631755 4639971845 5332241291 6088792125 6152586105 6401037875 7356052925 8487753375 9985619085 10254310175 12063926797 13919915535 15996723873 16642698475 16817068687 19203113625 22068158775 23199859225 26661206455 30762930525 36191780391 36780264625 38047769129 49928095425 50451206061 51271550875 60319633985 69599577675 79983619365 83213492375 84085343435 110340793875 114143307387 115999296125 133306032275 153814652625 180958901955 190238845645 218621892931 249640477125 252256030305 301598169925 347997888375 399918096825 420426717175 494620998677 570716536935 655865678793 666530161375 689499816167 904794509775 951194228225 1093109464655 1261280151525 1483862996031 1507990849625 1999590484125 2068499448501 2102133585875 2473104993385 2853582684675 3279328393965 3447499080835 4523972548875 4755971141125 5465547323275 6306400757625 7419314980155 8963497610171 10342497242505 12365524966925 14267913423375 16396641969825 17237495404175 26890492830513 27327736616375 28269492462847 37096574900775 44817488050855 51712486212525 61827624834625 81983209849125 84808477388541 86187477020875 134452464152565 141347462314235 185482874503875 224087440254275 258562431062625 367503402017011 424042386942705 672262320762825 706737311571175 1102510206051033 1120437201271375 1837517010085055 2120211934713525 3361311603814125 3533686557855875 5512551030255165 9187585050425275 10601059673567625 27562755151275825 45937925252126375 137813775756379125
• Sum of all divisors σ(n): 253477407707596800
• Sum of proper divisors (its aliquot sum) s(n): 115663631951217675
• 137813775756379125 is a deficient number, because the sum of its proper divisors (115663631951217675) is less than itself. Its deficiency is 22150143805161450

Bases of 137813775756379125

• Binary: 111101001100111001110011000011101000111010100001111110101₂
• Hexadecimal: 0x1E99CE61D1D43F5
• Base-36: 11OYWMKF3PPX

Squares and roots of 137813775756379125

• 137813775756379125 squared (137813775756379125²) is 18992636788229550667003130735765625
• 137813775756379125 cubed (137813775756379125³) is 2617446987355423939297347216165382694663384642578125
• The square root of 137813775756379125 is 371232778.3970309983
• The cube root of 137813775756379125 is 516532.3709427029

Scales and comparisons

• 137,813,775,756,379,125 seconds is equal to 4,382,051,783 years, 2 weeks, 6 days, 3 hours, 58 minutes, 45 seconds.
• To count from 1 to 137,813,775,756,379,125 would take you about thirteen billion, one hundred forty-six million, one hundred fifty-five thousand, three hundred forty-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 137813775756379125 cubic inches would be around 43044.4 feet tall.

Recreational maths with 137813775756379125

• 137813775756379125 backwards is 521973657577318731
• The number of decimal digits it has is: 18
• The sum of 137813775756379125's digits is 87
• More coming soon!