97424598137568000
97,424,598,137,568,000 is an even composite number composed of five prime numbers multiplied together.
97424598137568000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 97424598137568000:
28 × 3 × 53 × 13 × 78064581841
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 78064581841)See below for interesting mathematical facts about the number 97424598137568000 from the Numbermatics database.
Names of 97424598137568000
- Cardinal: 97424598137568000 can be written as Ninety-seven quadrillion, four hundred twenty-four trillion, five hundred ninety-eight billion, one hundred thirty-seven million, five hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 9.7424598137568 × 1016
Factors of 97424598137568000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 78064581864
Divisors of 97424598137568000
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 192 195 200 208 240 250 256 260 300 312 320 325 375 384 390 400 416 480 500 520 600 624 640 650 750 768 780 800 832 960 975 1000 1040 1200 1248 1280 1300 1500 1560 1600 1625 1664 1920 1950 2000 2080 2400 2496 2600 3000 3120 3200 3250 3328 3840 3900 4000 4160 4800 4875 4992 5200 6000 6240 6400 6500 7800 8000 8320 9600 9750 9984 10400 12000 12480 13000 15600 16000 16640 19200 19500 20800 24000 24960 26000 31200 32000 39000 41600 48000 49920 52000 62400 78000 83200 96000 104000 124800 156000 208000 249600 312000 416000 624000 1248000 78064581841 156129163682 234193745523 312258327364 390322909205 468387491046 624516654728 780645818410 936774982092 1014839563933 1170968727615 1249033309456 1561291636820 1873549964184 1951614546025 2029679127866 2341937455230 2498066618912 3044518691799 3122583273640 3747099928368 3903229092050 4059358255732 4683874910460 4996133237824 5074197819665 5854843638075 6089037383598 6245166547280 7494199856736 7806458184100 8118716511464 9367749820920 9758072730125 9992266475648 10148395639330 11709687276150 12178074767196 12490333094560 14988399713472 15222593458995 15612916368200 16237433022928 18735499641840 19516145460250 19984532951296 20296791278660 23419374552300 24356149534392 24980666189120 25370989098325 29274218190375 29976799426944 30445186917990 31225832736400 32474866045856 37470999283680 39032290920500 40593582557320 46838749104600 48712299068784 49961332378240 50741978196650 58548436380750 59953598853888 60890373835980 62451665472800 64949732091712 74941998567360 76112967294975 78064581841000 81187165114640 93677498209200 97424598137568 99922664756480 101483956393300 117096872761500 121780747671960 124903330945600 126854945491625 129899464183424 149883997134720 152225934589950 156129163682000 162374330229280 187354996418400 194849196275136 202967912786600 234193745523000 243561495343920 249806661891200 253709890983250 259798928366848 299767994269440 304451869179900 312258327364000 324748660458560 374709992836800 380564836474875 389698392550272 405935825573200 468387491046000 487122990687840 499613323782400 507419781966500 608903738359800 624516654728000 649497320917120 749419985673600 761129672949750 779396785100544 811871651146400 936774982092000 974245981375680 1014839563933000 1217807476719600 1249033309456000 1298994641834240 1498839971347200 1522259345899500 1623743302292800 1873549964184000 1948491962751360 2029679127866000 2435614953439200 2498066618912000 3044518691799000 3247486604585600 3747099928368000 3896983925502720 4059358255732000 4871229906878400 6089037383598000 6494973209171200 7494199856736000 8118716511464000 9742459813756800 12178074767196000 16237433022928000 19484919627513600 24356149534392000 32474866045856000 48712299068784000 97424598137568000
- Sum of all divisors σ(n): 348487787542544832
- Sum of proper divisors (its aliquot sum) s(n): 251063189404976832
- 97424598137568000 is an abundant number, because the sum of its proper divisors (251063189404976832) is greater than itself. Its abundance is 153638591267408832
Bases of 97424598137568000
- Binary: 1010110100001111100100111111001000101111111111011000000002
- Hexadecimal: 0x15A1F27E45FFB00
- Base-36: QNA4YIMIY2O
Squares and roots of 97424598137568000
- 97424598137568000 squared (974245981375680002) is 9491552322266618214252954624000000
- 97424598137568000 cubed (974245981375680003) is 924710670698525598212646109053791613714432000000000
-
The
square root of 97424598137568000 is 312129136.9570742269 -
The
cube root of 97424598137568000 is 460139.5262596019
Scales and comparisons
How big is 97424598137568000?- 97,424,598,137,568,000 seconds is equal to 3,097,800,866 years, 36 weeks, 5 days, 2 hours, 40 minutes.
-
To count from 1 to 97,424,598,137,568,000 would take you about nine billion, two hundred ninety-three million, four hundred two thousand, six hundred 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 97424598137568000 cubic inches would be around 38345 feet tall.
Recreational maths with 97424598137568000
- 97424598137568000 backwards is 00086573189542479
- 97424598137568000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 97424598137568000's digits is 78
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 97424598137568000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
APA style:
Numbermatics. (2024). Number 97424598137568000 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/97424598137568000/
Chicago style:
Numbermatics. 2024. "Number 97424598137568000 - Facts about the integer". https://numbermatics.com/n/97424598137568000/
The information we have on file for 97424598137568000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 97424598137568000, math, Factors of 97424598137568000, curriculum, school, college, exams, university, Prime factorization of 97424598137568000, STEM, science, technology, engineering, physics, economics, calculator, ninety-seven quadrillion, four hundred twenty-four trillion, five hundred ninety-eight billion, one hundred thirty-seven million, five hundred sixty-eight thousand.