948972144925056096

Names of 948972144925056096

• Cardinal: 948972144925056096 can be written as Nine hundred forty-eight quadrillion, nine hundred seventy-two trillion, one hundred forty-four billion, nine hundred twenty-five million, fifty-six thousand and ninety-six.

Scientific notation

• Scientific notation: 9.48972144925056096 × 10¹⁷

Factors of 948972144925056096

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 492852498

Divisors of 948972144925056096

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 514819 1029638 1544457 2059276 3088914 4118552 4633371 6177828 6692647 8237104 9266742 12355656 13385294 16474208 18533484 20077941 24711312 26770588 37066968 40155882 49422624 53541176 60233823 74133936 80311764 107082352 120467646 148267872 160623528 214164704 240935292 321247056 481870584 492337661 642494112 963741168 984675322 1477012983 1927482336 1969350644 2954025966 3938701288 4431038949 5908051932 6400389593 7877402576 8862077898 11816103864 12800779186 15754805152 17724155796 19201168779 23632207728 25601558372 35448311592 38402337558 47264415456 51203116744 57603506337 70896623184 76804675116 102406233488 115207012674 141793246368 153609350232 204812466976 230414025348 307218700464 460828050696 614437400928 921656101392 1843312202784 253464782298359 506929564596718 760394346895077 1013859129193436 1520788693790154 2027718258386872 2281183040685231 3041577387580308 3295042169878667 4055436516773744 4562366081370462 6083154775160616 6590084339757334 8110873033547488 9124732162740924 9885126509636001 12166309550321232 13180168679514668 18249464325481848 19770253019272002 24332619100642464 26360337359029336 29655379528908003 36498928650963696 39540506038544004 52720674718058672 59310759057816006 72997857301927392 79081012077088008 105441349436117344 118621518115632012 158162024154176016 237243036231264024 316324048308352032 474486072462528048 948972144925056096
• Sum of all divisors σ(n): 2906232844879531440
• Sum of proper divisors (its aliquot sum) s(n): 1957260699954475344
• 948972144925056096 is an abundant number, because the sum of its proper divisors (1957260699954475344) is greater than itself. Its abundance is 1008288555029419248

Bases of 948972144925056096

• Binary: 110100101011011011010010001101001111111111111001110001100000₂
• Hexadecimal: 0xD2B6D234FFF9C60
• Base-36: 77JYJSZTOIG0

Squares and roots of 948972144925056096

• 948972144925056096 squared (948972144925056096²) is 900548131843661670338508428746761216
• 948972144925056096 cubed (948972144925056096³) is 854595092283931827215146496498064829763140207117172736
• The square root of 948972144925056096 is 974152013.2530939321
• The cube root of 948972144925056096 is 982692.9075553663

Scales and comparisons

• 948,972,144,925,056,096 seconds is equal to 30,174,378,845 years, 2 weeks, 1 day, 13 hours, 21 minutes, 36 seconds.
• To count from 1 to 948,972,144,925,056,096 would take you about ninety billion, five hundred twenty-three million, one hundred thirty-six thousand, five hundred thirty-five 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 948972144925056096 cubic inches would be around 81891.1 feet tall.

Recreational maths with 948972144925056096

• 948972144925056096 backwards is 690650529441279849
• The number of decimal digits it has is: 18
• The sum of 948972144925056096's digits is 90
• More coming soon!