137299968
137,299,968 is an even composite number composed of four prime numbers multiplied together.
137299968 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 137299968:
211 × 33 × 13 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 191)See below for interesting mathematical facts about the number 137299968 from the Numbermatics database.
Names of 137299968
- Cardinal: 137299968 can be written as One hundred thirty-seven million, two hundred ninety-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37299968 × 108
Factors of 137299968
Divisors of 137299968
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 191 192 208 216 234 256 288 312 351 382 384 416 432 468 512 573 576 624 702 764 768 832 864 936 1024 1146 1152 1248 1404 1528 1536 1664 1719 1728 1872 2048 2292 2304 2483 2496 2808 3056 3072 3328 3438 3456 3744 4584 4608 4966 4992 5157 5616 6112 6144 6656 6876 6912 7449 7488 9168 9216 9932 9984 10314 11232 12224 13312 13752 13824 14898 14976 18336 18432 19864 19968 20628 22347 22464 24448 26624 27504 27648 29796 29952 36672 39728 39936 41256 44694 44928 48896 55008 55296 59592 59904 67041 73344 79456 79872 82512 89388 89856 97792 110016 119184 119808 134082 146688 158912 165024 178776 179712 195584 220032 238368 239616 268164 293376 317824 330048 357552 359424 391168 440064 476736 536328 586752 635648 660096 715104 718848 880128 953472 1072656 1173504 1271296 1320192 1430208 1760256 1906944 2145312 2542592 2640384 2860416 3520512 3813888 4290624 5085184 5280768 5720832 7627776 8581248 10561536 11441664 15255552 17162496 22883328 34324992 45766656 68649984 137299968
- Sum of all divisors σ(n): 440294400
- Sum of proper divisors (its aliquot sum) s(n): 302994432
- 137299968 is an abundant number, because the sum of its proper divisors (302994432) is greater than itself. Its abundance is 165694464
Bases of 137299968
- Binary: 10000010111100001000000000002
- Hexadecimal: 0x82F0800
- Base-36: 29QTC0
Squares and roots of 137299968
- 137299968 squared (1372999682) is 18851281212801024
- 137299968 cubed (1372999683) is 2588280307276581785567232
-
The
square root of 137299968 is 11717.5069020675 -
The
cube root of 137299968 is 515.8896464931
Scales and comparisons
How big is 137299968?- 137,299,968 seconds is equal to 4 years, 19 weeks, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,299,968 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 137299968 cubic inches would be around 43 feet tall.
Recreational maths with 137299968
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