131474400
131,474,400 is an even composite number composed of five prime numbers multiplied together.
131474400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 131474400:
25 × 3 × 52 × 29 × 1889
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 1889)See below for interesting mathematical facts about the number 131474400 from the Numbermatics database.
Names of 131474400
- Cardinal: 131474400 can be written as One hundred thirty-one million, four hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.314744 × 108
Factors of 131474400
Divisors of 131474400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 75 80 87 96 100 116 120 145 150 160 174 200 232 240 290 300 348 400 435 464 480 580 600 696 725 800 870 928 1160 1200 1392 1450 1740 1889 2175 2320 2400 2784 2900 3480 3778 4350 4640 5667 5800 6960 7556 8700 9445 11334 11600 13920 15112 17400 18890 22668 23200 28335 30224 34800 37780 45336 47225 54781 56670 60448 69600 75560 90672 94450 109562 113340 141675 151120 164343 181344 188900 219124 226680 273905 283350 302240 328686 377800 438248 453360 547810 566700 657372 755600 821715 876496 906720 1095620 1133400 1314744 1369525 1511200 1643430 1752992 2191240 2266800 2629488 2739050 3286860 4108575 4382480 4533600 5258976 5478100 6573720 8217150 8764960 10956200 13147440 16434300 21912400 26294880 32868600 43824800 65737200 131474400
- Sum of all divisors σ(n): 442940400
- Sum of proper divisors (its aliquot sum) s(n): 311466000
- 131474400 is an abundant number, because the sum of its proper divisors (311466000) is greater than itself. Its abundance is 179991600
Bases of 131474400
- Binary: 1111101011000100011111000002
- Hexadecimal: 0x7D623E0
- Base-36: 269YAO
Squares and roots of 131474400
- 131474400 squared (1314744002) is 17285517855360000
- 131474400 cubed (1314744003) is 2272603088722742784000000
-
The
square root of 131474400 is 11466.2286738055 -
The
cube root of 131474400 is 508.4876380675
Scales and comparisons
How big is 131474400?- 131,474,400 seconds is equal to 4 years, 9 weeks, 2 days, 16 hours, 40 minutes.
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To count from 1 to 131,474,400 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 131474400 cubic inches would be around 42.4 feet tall.
Recreational maths with 131474400
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