137083968
137,083,968 is an even composite number composed of four prime numbers multiplied together.
137083968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 137083968:
26 × 33 × 72 × 1619
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 1619)See below for interesting mathematical facts about the number 137083968 from the Numbermatics database.
Names of 137083968
- Cardinal: 137083968 can be written as One hundred thirty-seven million, eighty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37083968 × 108
Factors of 137083968
Divisors of 137083968
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 144 147 168 189 192 196 216 224 252 288 294 336 378 392 432 441 448 504 576 588 672 756 784 864 882 1008 1176 1323 1344 1512 1568 1619 1728 1764 2016 2352 2646 3024 3136 3238 3528 4032 4704 4857 5292 6048 6476 7056 9408 9714 10584 11333 12096 12952 14112 14571 19428 21168 22666 25904 28224 29142 33999 38856 42336 43713 45332 51808 58284 67998 77712 79331 84672 87426 90664 101997 103616 116568 135996 155424 158662 174852 181328 203994 233136 237993 271992 305991 310848 317324 349704 362656 407988 466272 475986 543984 611982 634648 699408 713979 725312 815976 932544 951972 1087968 1223964 1269296 1398816 1427958 1631952 1903944 2141937 2175936 2447928 2538592 2797632 2855916 3263904 3807888 4283874 4895856 5077184 5711832 6527808 7615776 8567748 9791712 11423664 15231552 17135496 19583424 22847328 34270992 45694656 68541984 137083968
- Sum of all divisors σ(n): 469087200
- Sum of proper divisors (its aliquot sum) s(n): 332003232
- 137083968 is an abundant number, because the sum of its proper divisors (332003232) is greater than itself. Its abundance is 194919264
Bases of 137083968
- Binary: 10000010101110111100010000002
- Hexadecimal: 0x82BBC40
- Base-36: 29M6O0
Squares and roots of 137083968
- 137083968 squared (1370839682) is 18792014282625024
- 137083968 cubed (1370839683) is 2576083884574911746015232
-
The
square root of 137083968 is 11708.2862964655 -
The
cube root of 137083968 is 515.6189723593
Scales and comparisons
How big is 137083968?- 137,083,968 seconds is equal to 4 years, 18 weeks, 4 days, 14 hours, 52 minutes, 48 seconds.
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To count from 1 to 137,083,968 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 137083968 cubic inches would be around 43 feet tall.
Recreational maths with 137083968
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