948691144891968

Names of 948691144891968

• Cardinal: 948691144891968 can be written as Nine hundred forty-eight trillion, six hundred ninety-one billion, one hundred forty-four million, eight hundred ninety-one thousand, nine hundred sixty-eight.

Scientific notation

• Scientific notation: 9.48691144891968 × 10¹⁴

Factors of 948691144891968

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 7774482

Divisors of 948691144891968

• Number of divisors d(n): 112
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2928 3904 5856 10433 11712 20866 31299 41732 62598 83464 125196 166928 250392 333856 500784 636413 667712 1001568 1272826 1909239 2003136 2545652 3818478 5091304 7636956 7763983 10182608 15273912 15527966 20365216 23291949 30547824 31055932 40730432 46583898 61095648 62111864 93167796 122191296 124223728 186335592 248447456 372671184 473602963 496894912 745342368 947205926 1420808889 1490684736 1894411852 2841617778 3788823704 5683235556 7577647408 11366471112 15155294816 22732942224 30310589632 45465884448 81001634639 90931768896 162003269278 243004903917 324006538556 486009807834 648013077112 972019615668 1296026154224 1944039231336 2592052308448 3888078462672 4941099712979 5184104616896 7776156925344 9882199425958 14823299138937 15552313850688 19764398851916 29646598277874 39528797703832 59293196555748 79057595407664 118586393111496 158115190815328 237172786222992 316230381630656 474345572445984 948691144891968
• Sum of all divisors σ(n): 2551472347627776
• Sum of proper divisors (its aliquot sum) s(n): 1602781202735808
• 948691144891968 is an abundant number, because the sum of its proper divisors (1602781202735808) is greater than itself. Its abundance is 654090057843840

Bases of 948691144891968

• Binary: 11010111101101010001011110101100010101111001000000₂
• Hexadecimal: 0x35ED45EB15E40
• Base-36: 9CA6P16T6O

Squares and roots of 948691144891968

• 948691144891968 squared (948691144891968²) is 900014888396433021458390913024
• 948691144891968 cubed (948691144891968³) is 853836154892628848619926992960141085364191232
• The square root of 948691144891968 is 30800830.2630297289
• The cube root of 948691144891968 is 98259.5902951981

Scales and comparisons

• 948,691,144,891,968 seconds is equal to 30,165,443 years, 47 weeks, 3 days, 9 hours, 32 minutes, 48 seconds.
• To count from 1 to 948,691,144,891,968 would take you about seventy-five million, four hundred thirteen thousand, six hundred 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 948691144891968 cubic inches would be around 8188.3 feet tall.

Recreational maths with 948691144891968

• 948691144891968 backwards is 869198441196849
• The number of decimal digits it has is: 15
• The sum of 948691144891968's digits is 87
• More coming soon!