3382633947825
3,382,633,947,825 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 3382633947825 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
3382633947825 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 3382633947825:
32 × 52 × 11 × 19 × 29 × 127 × 19531
(3 × 3 × 5 × 5 × 11 × 19 × 29 × 127 × 19531)See below for interesting mathematical facts about the number 3382633947825 from the Numbermatics database.
Names of 3382633947825
- Cardinal: 3382633947825 can be written as Three trillion, three hundred eighty-two billion, six hundred thirty-three million, nine hundred forty-seven thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 3.382633947825 × 1012
Factors of 3382633947825
Divisors of 3382633947825
- Number of divisors d(n): 288
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Complete list of divisors:
1 3 5 9 11 15 19 25 29 33 45 55 57 75 87 95 99 127 145 165 171 209 225 261 275 285 319 381 435 475 495 551 627 635 725 825 855 957 1045 1143 1305 1397 1425 1595 1653 1881 1905 2175 2413 2475 2755 2871 3135 3175 3683 4191 4275 4785 4959 5225 5715 6061 6525 6985 7239 7975 8265 9405 9525 11049 12065 12573 13775 14355 15675 18183 18415 19531 20955 21717 23925 24795 26543 28575 30305 33147 34925 36195 40513 41325 47025 54549 55245 58593 60325 62865 69977 71775 79629 90915 92075 97655 104775 108585 121539 123975 132715 151525 165735 175779 180975 202565 209931 214841 238887 272745 276225 292965 314325 349885 364617 371089 398145 454575 488275 542925 566399 607695 629793 644523 663575 769747 828675 878895 1012825 1049655 1074205 1113267 1194435 1363725 1464825 1699197 1749425 1823085 1855445 1933569 1990725 2309241 2480437 2831995 3038475 3148965 3222615 3339801 3848735 4081979 4394475 5097591 5248275 5371025 5566335 5972175 6230389 6927723 7441311 8495985 9115425 9277225 9667845 10761581 11546205 12245937 12402185 14159975 15744825 16113075 16699005 18691167 19243675 20409895 22323933 25487955 27284807 27831675 31151945 32284743 34638615 36737811 37206555 42479925 47128303 48339225 53807905 56073501 57731025 61229685 62010925 71932673 81854421 83495025 93455835 96854229 102049475 111619665 118377391 127439775 136424035 141384909 155759725 161423715 173193075 183689055 186032775 215798019 235641515 245563263 269039525 280367505 306148425 355132173 359663365 409272105 424154727 467279175 484271145 518411333 558098325 591886955 647394057 682120175 706924545 791259403 807118575 918445275 1065396519 1078990095 1178207575 1227816315 1366720787 1401837525 1555233999 1775660865 1798316825 2046360525 2120773635 2373778209 2421355725 2592056665 2959434775 3236970285 3534622725 3956297015 4100162361 4665701997 5326982595 5394950475 6139081575 6833603935 7121334627 7776169995 8878304325 10603868175 11868891045 12300487083 12960283325 15033928657 16184851425 19781485075 20500811805 23328509985 26634912975 34168019675 35606673135 38880849975 45101785971 59344455225 61502435415 75169643285 102504059025 116642549925 135305357913 178033365675 225508929855 307512177075 375848216425 676526789565 1127544649275 3382633947825
- Sum of all divisors σ(n): 7254278553600
- Sum of proper divisors (its aliquot sum) s(n): 3871644605775
- 3382633947825 is an abundant number, because the sum of its proper divisors (3871644605775) is greater than itself. Its abundance is 489010657950
Bases of 3382633947825
- Binary: 1100010011100101001011000111100010101100012
- Hexadecimal: 0x31394B1E2B1
- Base-36: 175YKWYI9
Squares and roots of 3382633947825
- 3382633947825 squared (33826339478252) is 11442212424978144822230625
- 3382633947825 cubed (33826339478253) is 38704816186956088659366561866367140625
-
The
square root of 3382633947825 is 1839193.8309555629 -
The
cube root of 3382633947825 is 15011.3010359675
Scales and comparisons
How big is 3382633947825?- 3,382,633,947,825 seconds is equal to 107,557 years, 15 weeks, 2 days, 21 hours, 3 minutes, 45 seconds.
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To count from 1 to 3,382,633,947,825 would take you about two hundred sixty-eight thousand, eight hundred ninety-three 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 3382633947825 cubic inches would be around 1250.9 feet tall.
Recreational maths with 3382633947825
- 3382633947825 backwards is 5287493362833
- The number of decimal digits it has is: 13
- The sum of 3382633947825's digits is 63
- More coming soon!
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