131430400
131,430,400 is an even composite number composed of four prime numbers multiplied together.
131430400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 131430400:
211 × 52 × 17 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 151)See below for interesting mathematical facts about the number 131430400 from the Numbermatics database.
Names of 131430400
- Cardinal: 131430400 can be written as One hundred thirty-one million, four hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.314304 × 108
Factors of 131430400
Divisors of 131430400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 128 136 151 160 170 200 256 272 302 320 340 400 425 512 544 604 640 680 755 800 850 1024 1088 1208 1280 1360 1510 1600 1700 2048 2176 2416 2560 2567 2720 3020 3200 3400 3775 4352 4832 5120 5134 5440 6040 6400 6800 7550 8704 9664 10240 10268 10880 12080 12800 12835 13600 15100 17408 19328 20536 21760 24160 25600 25670 27200 30200 34816 38656 41072 43520 48320 51200 51340 54400 60400 64175 77312 82144 87040 96640 102680 108800 120800 128350 154624 164288 174080 193280 205360 217600 241600 256700 309248 328576 386560 410720 435200 483200 513400 657152 773120 821440 870400 966400 1026800 1314304 1546240 1642880 1932800 2053600 2628608 3285760 3865600 4107200 5257216 6571520 7731200 8214400 13143040 16428800 26286080 32857600 65715200 131430400
- Sum of all divisors σ(n): 347321520
- Sum of proper divisors (its aliquot sum) s(n): 215891120
- 131430400 is an abundant number, because the sum of its proper divisors (215891120) is greater than itself. Its abundance is 84460720
Bases of 131430400
- Binary: 1111101010101111000000000002
- Hexadecimal: 0x7D57800
- Base-36: 2690CG
Squares and roots of 131430400
- 131430400 squared (1314304002) is 17273950044160000
- 131430400 cubed (1314304003) is 2270322163883966464000000
-
The
square root of 131430400 is 11464.3098353107 -
The
cube root of 131430400 is 508.4309072453
Scales and comparisons
How big is 131430400?- 131,430,400 seconds is equal to 4 years, 9 weeks, 2 days, 4 hours, 26 minutes, 40 seconds.
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To count from 1 to 131,430,400 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 131430400 cubic inches would be around 42.4 feet tall.
Recreational maths with 131430400
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