131064000
131,064,000 is an even composite number composed of five prime numbers multiplied together.
131064000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 131064000:
26 × 3 × 53 × 43 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 43 × 127)See below for interesting mathematical facts about the number 131064000 from the Numbermatics database.
Names of 131064000
- Cardinal: 131064000 can be written as One hundred thirty-one million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.31064 × 108
Factors of 131064000
Divisors of 131064000
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 43 48 50 60 64 75 80 86 96 100 120 125 127 129 150 160 172 192 200 215 240 250 254 258 300 320 344 375 381 400 430 480 500 508 516 600 635 645 688 750 762 800 860 960 1000 1016 1032 1075 1200 1270 1290 1376 1500 1524 1600 1720 1905 2000 2032 2064 2150 2400 2540 2580 2752 3000 3048 3175 3225 3440 3810 4000 4064 4128 4300 4800 5080 5160 5375 5461 6000 6096 6350 6450 6880 7620 8000 8128 8256 8600 9525 10160 10320 10750 10922 12000 12192 12700 12900 13760 15240 15875 16125 16383 17200 19050 20320 20640 21500 21844 24000 24384 25400 25800 27305 30480 31750 32250 32766 34400 38100 40640 41280 43000 43688 47625 50800 51600 54610 60960 63500 64500 65532 68800 76200 81915 86000 87376 95250 101600 103200 109220 121920 127000 129000 131064 136525 152400 163830 172000 174752 190500 203200 206400 218440 254000 258000 262128 273050 304800 327660 344000 349504 381000 409575 436880 508000 516000 524256 546100 609600 655320 682625 762000 819150 873760 1016000 1032000 1048512 1092200 1310640 1365250 1524000 1638300 1747520 2047875 2184400 2621280 2730500 3048000 3276600 4095750 4368800 5242560 5461000 6553200 8191500 8737600 10922000 13106400 16383000 21844000 26212800 32766000 43688000 65532000 131064000
- Sum of all divisors σ(n): 446324736
- Sum of proper divisors (its aliquot sum) s(n): 315260736
- 131064000 is an abundant number, because the sum of its proper divisors (315260736) is greater than itself. Its abundance is 184196736
Bases of 131064000
- Binary: 1111100111111100000110000002
- Hexadecimal: 0x7CFE0C0
- Base-36: 2615MO
Squares and roots of 131064000
- 131064000 squared (1310640002) is 17177772096000000
- 131064000 cubed (1310640003) is 2251387521990144000000000
-
The
square root of 131064000 is 11448.3186538461 -
The
cube root of 131064000 is 507.9580017775
Scales and comparisons
How big is 131064000?- 131,064,000 seconds is equal to 4 years, 8 weeks, 4 days, 22 hours, 40 minutes.
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To count from 1 to 131,064,000 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 131064000 cubic inches would be around 42.3 feet tall.
Recreational maths with 131064000
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