328431146742125
328,431,146,742,125 is an odd composite number composed of seven prime numbers multiplied together.
328431146742125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 328431146742125:
53 × 72 × 172 × 29 × 79 × 109 × 743
(5 × 5 × 5 × 7 × 7 × 17 × 17 × 29 × 79 × 109 × 743)See below for interesting mathematical facts about the number 328431146742125 from the Numbermatics database.
Names of 328431146742125
- Cardinal: 328431146742125 can be written as Three hundred twenty-eight trillion, four hundred thirty-one billion, one hundred forty-six million, seven hundred forty-two thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 3.28431146742125 × 1014
Factors of 328431146742125
Divisors of 328431146742125
- Number of divisors d(n): 576
-
Complete list of divisors:
1 5 7 17 25 29 35 49 79 85 109 119 125 145 175 203 245 289 395 425 493 545 553 595 725 743 763 833 875 1015 1225 1343 1421 1445 1853 1975 2023 2125 2291 2465 2725 2765 2975 3161 3451 3625 3715 3815 3871 4165 5075 5201 5341 6125 6715 7105 7225 8381 8611 9265 9401 9875 10115 11455 12325 12631 12971 13625 13825 14161 14875 15805 16037 17255 18575 19075 19355 20825 21547 22127 22831 24157 25375 26005 26705 31501 33575 35525 36125 36407 38947 41905 43055 46325 47005 50575 53737 57275 58667 58697 60277 61625 63155 64855 65807 69125 70805 79025 80185 80987 86275 88417 90797 92875 95375 96775 104125 107735 110635 112259 114155 120785 130025 133525 146387 150829 154889 157505 159817 167875 177625 182035 194735 209525 214727 215275 220507 231625 235025 249719 252875 268685 272629 286375 293335 293485 301385 315775 324275 329035 354025 366299 376159 395125 400925 404935 410669 410879 421939 431375 442085 453985 483875 538675 553175 561295 566909 570775 603925 618919 650125 662099 667625 731935 754145 774445 787525 799085 910175 913529 973675 997849 1024709 1047625 1055803 1073635 1076375 1102535 1118719 1175125 1248595 1343425 1363145 1376779 1466675 1467425 1503089 1506925 1543549 1578875 1621375 1645175 1702213 1748033 1770125 1831495 1880795 1908403 2004625 2024675 2053345 2054395 2109695 2210425 2269925 2348623 2488579 2564093 2633113 2693375 2765875 2806475 2834545 2853875 2876153 3019625 3094595 3310495 3659675 3770725 3872225 3937625 3968363 3995425 4245223 4550875 4567645 4634693 4868375 4989245 5123545 5279015 5368175 5512675 5593595 6227083 6242975 6394703 6397973 6717125 6815725 6883895 6984943 7172963 7333375 7337125 7515445 7534625 7717745 8225875 8511065 8740165 9157475 9403975 9542015 9637453 10123375 10266725 10271975 10521623 10548475 11052125 11349625 11743115 11915491 12236231 12442895 12820465 13165565 14032375 14172725 14380765 15472975 16440361 16552475 16963433 17420053 17948651 18298375 18853625 19361125 19841815 19977125 21226115 22838225 23173465 23405243 24946225 25617725 26395075 26840875 27563375 27967975 28937621 29716561 31135415 31214875 31973515 31989865 32442851 34078625 34419475 34924715 35864815 37577225 38588725 39926591 42555325 43589581 43700825 44762921 44785811 45787375 47019875 47710075 48187265 48894601 51333625 51359875 52608115 52742375 58715575 59577455 61181155 62214475 64102325 65827825 67462171 70863625 71903825 72168791 77364875 82201805 82762375 83408437 84817165 87100265 89743255 99209075 106130575 108765541 114191125 115082527 115867325 117026215 118744031 121940371 124731125 128088625 131975375 139839875 144688105 148582805 155677075 159867575 159949325 162214255 163836701 172097375 174623575 179324075 185541217 187886125 192943625 199632955 202563347 208015927 212776625 217947905 218504125 223814605 223929055 238550375 240936325 244473005 263040575 279486137 293577875 297887275 305127067 305905775 311072375 313500677 320511625 329139125 337310855 359519125 360843955 411009025 417042185 424085825 435501325 448716275 491939557 496045375 505181537 530652875 543827705 575412635 579336625 585131075 593720155 609701855 678752047 723440525 742914025 761358787 778385375 799337875 799746625 811071275 819183505 831208217 873117875 896620375 927706085 998164775 1012816735 1040079635 1089739525 1119073025 1119645275 1146856907 1204681625 1222365025 1298788519 1315202875 1397430685 1417943429 1489436375 1525635335 1529528875 1567503385 1686554275 1804219775 1849014197 1956402959 2055045125 2085210925 2120429125 2177506625 2243581375 2459697785 2525907685 2719138525 2877063175 2925655375 2968600775 3048509275 3154200689 3393760235 3443576899 3536270759 3617202625 3714570125 3806793935 4055356375 4095917525 4156041085 4638530425 4751264329 4990823875 5064083675 5200398175 5329511509 5448697625 5595365125 5598226375 5734284535 6111825125 6493942595 6987153425 7089717145 7628176675 7837516925 8432771375 9021098875 9091519633 9245070985 9782014795 10426054625 12298488925 12629538425 12943099379 13595692625 14385315875 14843003875 15242546375 15771003445 16968801175 17217884495 17681353795 19033969675 20479587625 20780205425 22079404823 23192652125 23756321645 24105038293 25320418375 26001990875 26647557545 28671422675 32469712975 33258850303 34935767125 35448585725 38140883375 39187584625 45457598165 46225354925 48910073975 53621411713 61492444625 63147692125 64715496895 78855017225 84844005875 86089422475 88406768975 90601695653 95169848375 103901027125 110397024115 118781608225 120525191465 133237787725 143357113375 154555833761 162348564875 166294251515 177242928625 227287990825 231126774625 244550369875 268107058565 323577484475 375349881991 394275086125 430447112375 442033844875 453008478265 551985120575 593908041125 602625957325 666188938625 772779168805 831471257575 1136439954125 1340535292825 1617887422375 1876749409955 2265042391325 2627449173937 2759925602875 3013129786625 3863895844025 4157356287875 6702676464125 9383747049775 11325211956625 13137245869685 19319479220125 46918735248875 65686229348425 328431146742125
- Sum of all divisors σ(n): 536185039104000
- Sum of proper divisors (its aliquot sum) s(n): 207753892361875
- 328431146742125 is a deficient number, because the sum of its proper divisors (207753892361875) is less than itself. Its deficiency is 120677254380250
Bases of 328431146742125
- Binary: 10010101010110100110101011101010110110001011011012
- Hexadecimal: 0x12AB4D5D5B16D
- Base-36: 38F36OXGFH
Squares and roots of 328431146742125
- 328431146742125 squared (3284311467421252) is 107867018150347245001249515625
- 328431146742125 cubed (3284311467421253) is 35426888466772156818529599045215953033203125
-
The
square root of 328431146742125 is 18122669.4154620885 -
The
cube root of 328431146742125 is 68994.5488056553
Scales and comparisons
How big is 328431146742125?- 328,431,146,742,125 seconds is equal to 10,443,094 years, 29 weeks, 1 day, 15 hours, 2 minutes, 5 seconds.
-
To count from 1 to 328,431,146,742,125 would take you about twenty-six million, one hundred seven thousand, seven hundred thirty-six 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 328431146742125 cubic inches would be around 5749.5 feet tall.
Recreational maths with 328431146742125
- 328431146742125 backwards is 521247641134823
- The number of decimal digits it has is: 15
- The sum of 328431146742125's digits is 53
- 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 328431146742125 - Facts about the integer". Numbermatics.com. 2024. Web. 26 April 2024.
APA style:
Numbermatics. (2024). Number 328431146742125 - Facts about the integer. Retrieved 26 April 2024, from https://numbermatics.com/n/328431146742125/
Chicago style:
Numbermatics. 2024. "Number 328431146742125 - Facts about the integer". https://numbermatics.com/n/328431146742125/
The information we have on file for 328431146742125 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 328431146742125, math, Factors of 328431146742125, curriculum, school, college, exams, university, Prime factorization of 328431146742125, STEM, science, technology, engineering, physics, economics, calculator, three hundred twenty-eight trillion, four hundred thirty-one billion, one hundred forty-six million, seven hundred forty-two thousand, one hundred twenty-five.