134428800
134,428,800 is an even composite number composed of six prime numbers multiplied together.
134428800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 134428800:
27 × 3 × 52 × 11 × 19 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 19 × 67)See below for interesting mathematical facts about the number 134428800 from the Numbermatics database.
Names of 134428800
- Cardinal: 134428800 can be written as One hundred thirty-four million, four hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.344288 × 108
Factors of 134428800
Divisors of 134428800
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 32 33 38 40 44 48 50 55 57 60 64 66 67 75 76 80 88 95 96 100 110 114 120 128 132 134 150 152 160 165 176 190 192 200 201 209 220 228 240 264 268 275 285 300 304 320 330 335 352 380 384 400 402 418 440 456 475 480 528 536 550 570 600 608 627 640 660 670 704 737 760 800 804 825 836 880 912 950 960 1005 1045 1056 1072 1100 1140 1200 1216 1254 1273 1320 1340 1408 1425 1474 1520 1600 1608 1650 1672 1675 1760 1824 1900 1920 2010 2090 2112 2144 2200 2211 2280 2400 2432 2508 2546 2640 2680 2850 2948 3040 3135 3200 3216 3300 3344 3350 3520 3648 3685 3800 3819 4020 4180 4224 4288 4400 4422 4560 4800 5016 5025 5092 5225 5280 5360 5700 5896 6080 6270 6365 6432 6600 6688 6700 7040 7296 7370 7600 7638 8040 8360 8576 8800 8844 9120 9600 10032 10050 10184 10450 10560 10720 11055 11400 11792 12160 12540 12730 12864 13200 13376 13400 14003 14740 15200 15276 15675 16080 16720 17600 17688 18240 18425 19095 20064 20100 20368 20900 21120 21440 22110 22800 23584 25080 25460 25728 26400 26752 26800 28006 29480 30400 30552 31350 31825 32160 33440 35200 35376 36480 36850 38190 40128 40200 40736 41800 42009 42880 44220 45600 47168 50160 50920 52800 53600 55275 56012 58960 60800 61104 62700 63650 64320 66880 70015 70752 73700 76380 80256 80400 81472 83600 84018 88440 91200 94336 95475 100320 101840 105600 107200 110550 112024 117920 122208 125400 127300 128640 133760 140030 141504 147400 152760 160800 162944 167200 168036 176880 182400 190950 200640 203680 210045 214400 221100 224048 235840 244416 250800 254600 280060 283008 294800 305520 321600 334400 336072 350075 353760 381900 401280 407360 420090 442200 448096 471680 488832 501600 509200 560120 589600 611040 643200 668800 672144 700150 707520 763800 814720 840180 884400 896192 1003200 1018400 1050225 1120240 1179200 1222080 1344288 1400300 1415040 1527600 1680360 1768800 1792384 2006400 2036800 2100450 2240480 2358400 2444160 2688576 2800600 3055200 3360720 3537600 4073600 4200900 4480960 5377152 5601200 6110400 6721440 7075200 8401800 8961920 11202400 12220800 13442880 16803600 22404800 26885760 33607200 44809600 67214400 134428800
- Sum of all divisors σ(n): 516038400
- Sum of proper divisors (its aliquot sum) s(n): 381609600
- 134428800 is an abundant number, because the sum of its proper divisors (381609600) is greater than itself. Its abundance is 247180800
Bases of 134428800
- Binary: 10000000001100111000100000002
- Hexadecimal: 0x8033880
- Base-36: 2819XC
Squares and roots of 134428800
- 134428800 squared (1344288002) is 18071102269440000
- 134428800 cubed (1344288003) is 2429276592758095872000000
-
The
square root of 134428800 is 11594.3434484235 -
The
cube root of 134428800 is 512.2682513581
Scales and comparisons
How big is 134428800?- 134,428,800 seconds is equal to 4 years, 14 weeks, 1 day, 21 hours, 20 minutes.
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To count from 1 to 134,428,800 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 134428800 cubic inches would be around 42.7 feet tall.
Recreational maths with 134428800
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