128168400
128,168,400 is an even composite number composed of five prime numbers multiplied together.
128168400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 128168400:
24 × 3 × 52 × 292 × 127
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 29 × 127)See below for interesting mathematical facts about the number 128168400 from the Numbermatics database.
Names of 128168400
- Cardinal: 128168400 can be written as One hundred twenty-eight million, one hundred sixty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.281684 × 108
Factors of 128168400
Divisors of 128168400
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 127 145 150 174 200 232 240 254 290 300 348 381 400 435 464 508 580 600 635 696 725 762 841 870 1016 1160 1200 1270 1392 1450 1524 1682 1740 1905 2032 2175 2320 2523 2540 2900 3048 3175 3364 3480 3683 3810 4205 4350 5046 5080 5800 6096 6350 6728 6960 7366 7620 8410 8700 9525 10092 10160 11049 11600 12615 12700 13456 14732 15240 16820 17400 18415 19050 20184 21025 22098 25230 25400 29464 30480 33640 34800 36830 38100 40368 42050 44196 50460 50800 55245 58928 63075 67280 73660 76200 84100 88392 92075 100920 106807 110490 126150 147320 152400 168200 176784 184150 201840 213614 220980 252300 276225 294640 320421 336400 368300 427228 441960 504600 534035 552450 640842 736600 854456 883920 1009200 1068070 1104900 1281684 1473200 1602105 1708912 2136140 2209800 2563368 2670175 3204210 4272280 4419600 5126736 5340350 6408420 8010525 8544560 10680700 12816840 16021050 21361400 25633680 32042100 42722800 64084200 128168400
- Sum of all divisors σ(n): 428559872
- Sum of proper divisors (its aliquot sum) s(n): 300391472
- 128168400 is an abundant number, because the sum of its proper divisors (300391472) is greater than itself. Its abundance is 172223072
Bases of 128168400
- Binary: 1111010001110110001110100002
- Hexadecimal: 0x7A3B1D0
- Base-36: 24B3DC
Squares and roots of 128168400
- 128168400 squared (1281684002) is 16427138758560000
- 128168400 cubed (1281684003) is 2105440091262621504000000
-
The
square root of 128168400 is 11321.1483516473 -
The
cube root of 128168400 is 504.1893342569
Scales and comparisons
How big is 128168400?- 128,168,400 seconds is equal to 4 years, 3 weeks, 6 days, 10 hours, 20 minutes.
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To count from 1 to 128,168,400 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 128168400 cubic inches would be around 42 feet tall.
Recreational maths with 128168400
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