164131200
164,131,200 is an even composite number composed of five prime numbers multiplied together.
164131200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 164131200:
27 × 32 × 52 × 41 × 139
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 41 × 139)See below for interesting mathematical facts about the number 164131200 from the Numbermatics database.
Names of 164131200
- Cardinal: 164131200 can be written as One hundred sixty-four million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.641312 × 108
Factors of 164131200
Divisors of 164131200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 60 64 72 75 80 82 90 96 100 120 123 128 139 144 150 160 164 180 192 200 205 225 240 246 278 288 300 320 328 360 369 384 400 410 417 450 480 492 556 576 600 615 640 656 695 720 738 800 820 834 900 960 984 1025 1112 1152 1200 1230 1251 1312 1390 1440 1476 1600 1640 1668 1800 1845 1920 1968 2050 2085 2224 2400 2460 2502 2624 2780 2880 2952 3075 3200 3280 3336 3475 3600 3690 3936 4100 4170 4448 4800 4920 5004 5248 5560 5699 5760 5904 6150 6255 6560 6672 6950 7200 7380 7872 8200 8340 8896 9225 9600 9840 10008 10425 11120 11398 11808 12300 12510 13120 13344 13900 14400 14760 15744 16400 16680 17097 17792 18450 19680 20016 20850 22240 22796 23616 24600 25020 26240 26688 27800 28495 28800 29520 31275 32800 33360 34194 36900 39360 40032 41700 44480 45592 47232 49200 50040 51291 53376 55600 56990 59040 62550 65600 66720 68388 73800 78720 80064 83400 85485 88960 91184 98400 100080 102582 111200 113980 118080 125100 131200 133440 136776 142475 147600 160128 166800 170970 182368 196800 200160 205164 222400 227960 236160 250200 256455 266880 273552 284950 295200 333600 341940 364736 393600 400320 410328 427425 444800 455920 500400 512910 547104 569900 590400 667200 683880 729472 800640 820656 854850 911840 1000800 1025820 1094208 1139800 1180800 1282275 1334400 1367760 1641312 1709700 1823680 2001600 2051640 2188416 2279600 2564550 2735520 3282624 3419400 3647360 4003200 4103280 4559200 5129100 5471040 6565248 6838800 8206560 9118400 10258200 10942080 13677600 16413120 18236800 20516400 27355200 32826240 41032800 54710400 82065600 164131200
- Sum of all divisors σ(n): 604258200
- Sum of proper divisors (its aliquot sum) s(n): 440127000
- 164131200 is an abundant number, because the sum of its proper divisors (440127000) is greater than itself. Its abundance is 275995800
Bases of 164131200
- Binary: 10011100100001110001100000002
- Hexadecimal: 0x9C87180
- Base-36: 2PPWG0
Squares and roots of 164131200
- 164131200 squared (1641312002) is 26939050813440000
- 164131200 cubed (1641312003) is 4421538736870883328000000
-
The
square root of 164131200 is 12811.3699501653 -
The
cube root of 164131200 is 547.5162940045
Scales and comparisons
How big is 164131200?- 164,131,200 seconds is equal to 5 years, 11 weeks, 2 days, 16 hours.
-
To count from 1 to 164,131,200 would take you about seven 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 164131200 cubic inches would be around 45.6 feet tall.
Recreational maths with 164131200
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