131424000
131,424,000 is an even composite number composed of four prime numbers multiplied together.
131424000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 131424000:
28 × 3 × 53 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 37 × 37)See below for interesting mathematical facts about the number 131424000 from the Numbermatics database.
Names of 131424000
- Cardinal: 131424000 can be written as One hundred thirty-one million, four hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.31424 × 108
Factors of 131424000
Divisors of 131424000
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 125 128 148 150 160 185 192 200 222 240 250 256 296 300 320 370 375 384 400 444 480 500 555 592 600 640 740 750 768 800 888 925 960 1000 1110 1184 1200 1280 1369 1480 1500 1600 1776 1850 1920 2000 2220 2368 2400 2738 2775 2960 3000 3200 3552 3700 3840 4000 4107 4440 4625 4736 4800 5476 5550 5920 6000 6400 6845 7104 7400 8000 8214 8880 9250 9472 9600 10952 11100 11840 12000 13690 13875 14208 14800 16000 16428 17760 18500 19200 20535 21904 22200 23680 24000 27380 27750 28416 29600 32000 32856 34225 35520 37000 41070 43808 44400 47360 48000 54760 55500 59200 65712 68450 71040 74000 82140 87616 88800 96000 102675 109520 111000 118400 131424 136900 142080 148000 164280 171125 175232 177600 205350 219040 222000 236800 262848 273800 296000 328560 342250 350464 355200 410700 438080 444000 513375 525696 547600 592000 657120 684500 710400 821400 876160 888000 1026750 1051392 1095200 1184000 1314240 1369000 1642800 1752320 1776000 2053500 2190400 2628480 2738000 3285600 3552000 4107000 4380800 5256960 5476000 6571200 8214000 8761600 10952000 13142400 16428000 21904000 26284800 32856000 43808000 65712000 131424000
- Sum of all divisors σ(n): 448641648
- Sum of proper divisors (its aliquot sum) s(n): 317217648
- 131424000 is an abundant number, because the sum of its proper divisors (317217648) is greater than itself. Its abundance is 185793648
Bases of 131424000
- Binary: 1111101010101011111000000002
- Hexadecimal: 0x7D55F00
- Base-36: 268VEO
Squares and roots of 131424000
- 131424000 squared (1314240002) is 17272267776000000
- 131424000 cubed (1314240003) is 2269990520193024000000000
-
The
square root of 131424000 is 11464.0307047739 -
The
cube root of 131424000 is 508.4226544347
Scales and comparisons
How big is 131424000?- 131,424,000 seconds is equal to 4 years, 9 weeks, 2 days, 2 hours, 40 minutes.
-
To count from 1 to 131,424,000 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 131424000 cubic inches would be around 42.4 feet tall.
Recreational maths with 131424000
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