137314320
137,314,320 is an even composite number composed of six prime numbers multiplied together.
137314320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 137314320:
24 × 3 × 5 × 11 × 13 × 4001
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 4001)See below for interesting mathematical facts about the number 137314320 from the Numbermatics database.
Names of 137314320
- Cardinal: 137314320 can be written as One hundred thirty-seven million, three hundred fourteen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3731432 × 108
Factors of 137314320
Divisors of 137314320
- Number of divisors d(n): 160
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4001 4290 5720 6864 8002 8580 11440 12003 16004 17160 20005 24006 32008 34320 40010 44011 48012 52013 60015 64016 80020 88022 96024 104026 120030 132033 156039 160040 176044 192048 208052 220055 240060 260065 264066 312078 320080 352088 416104 440110 480120 520130 528132 572143 624156 660165 704176 780195 832208 880220 960240 1040260 1056264 1144286 1248312 1320330 1560390 1716429 1760440 2080520 2112528 2288572 2496624 2640660 2860715 3120780 3432858 3520880 4161040 4577144 5281320 5721430 6241560 6865716 8582145 9154288 10562640 11442860 12483120 13731432 17164290 22885720 27462864 34328580 45771440 68657160 137314320
- Sum of all divisors σ(n): 500217984
- Sum of proper divisors (its aliquot sum) s(n): 362903664
- 137314320 is an abundant number, because the sum of its proper divisors (362903664) is greater than itself. Its abundance is 225589344
Bases of 137314320
- Binary: 10000010111101000000000100002
- Hexadecimal: 0x82F4010
- Base-36: 29R4EO
Squares and roots of 137314320
- 137314320 squared (1373143202) is 18855222477062400
- 137314320 cubed (1373143203) is 2589092052886539053568000
-
The
square root of 137314320 is 11718.1193030281 -
The
cube root of 137314320 is 515.9076212247
Scales and comparisons
How big is 137314320?- 137,314,320 seconds is equal to 4 years, 19 weeks, 6 hours, 52 minutes.
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To count from 1 to 137,314,320 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 137314320 cubic inches would be around 43 feet tall.
Recreational maths with 137314320
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