137065968
137,065,968 is an even composite number composed of six prime numbers multiplied together.
137065968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 137065968:
24 × 32 × 13 × 17 × 59 × 73
(2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 59 × 73)See below for interesting mathematical facts about the number 137065968 from the Numbermatics database.
Names of 137065968
- Cardinal: 137065968 can be written as One hundred thirty-seven million, sixty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37065968 × 108
Factors of 137065968
Divisors of 137065968
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 59 68 72 73 78 102 104 117 118 136 144 146 153 156 177 204 208 219 221 234 236 272 292 306 312 354 408 438 442 468 472 531 584 612 624 657 663 708 767 816 876 884 936 944 949 1003 1062 1168 1224 1241 1314 1326 1416 1534 1752 1768 1872 1898 1989 2006 2124 2301 2448 2482 2628 2652 2832 2847 3009 3068 3504 3536 3723 3796 3978 4012 4248 4307 4602 4964 5256 5304 5694 6018 6136 6903 7446 7592 7956 8024 8496 8541 8614 9027 9204 9928 10512 10608 11169 11388 12036 12272 12921 13039 13806 14892 15184 15912 16048 16133 17082 17228 18054 18408 19856 22338 22776 24072 25842 26078 27612 29784 31824 32266 34164 34456 36108 36816 38763 39117 44676 45552 48144 48399 51684 52156 55224 55991 59568 64532 68328 68912 72216 73219 77526 78234 89352 96798 103368 104312 110448 111982 117351 129064 136656 144432 145197 146438 155052 156468 167973 178704 193596 206736 208624 219657 223964 234702 258128 290394 292876 310104 312936 335946 387192 439314 447928 469404 503919 580788 585752 620208 625872 658971 671892 774384 878628 895856 938808 951847 1007838 1161576 1171504 1317942 1343784 1757256 1877616 1903694 2015676 2323152 2635884 2687568 2855541 3514512 3807388 4031352 5271768 5711082 7614776 8062704 8566623 10543536 11422164 15229552 17133246 22844328 34266492 45688656 68532984 137065968
- Sum of all divisors σ(n): 450908640
- Sum of proper divisors (its aliquot sum) s(n): 313842672
- 137065968 is an abundant number, because the sum of its proper divisors (313842672) is greater than itself. Its abundance is 176776704
Bases of 137065968
- Binary: 10000010101101110101111100002
- Hexadecimal: 0x82B75F0
- Base-36: 29LSS0
Squares and roots of 137065968
- 137065968 squared (1370659682) is 18787079583777024
- 137065968 cubed (1370659683) is 2575069249043434890719232
-
The
square root of 137065968 is 11707.5175848685 -
The
cube root of 137065968 is 515.5964033505
Scales and comparisons
How big is 137065968?- 137,065,968 seconds is equal to 4 years, 18 weeks, 4 days, 9 hours, 52 minutes, 48 seconds.
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To count from 1 to 137,065,968 would take you about 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 137065968 cubic inches would be around 43 feet tall.
Recreational maths with 137065968
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The information we have on file for 137065968 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!
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