135172800
135,172,800 is an even composite number composed of five prime numbers multiplied together.
135172800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 135172800:
26 × 34 × 52 × 7 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 149)See below for interesting mathematical facts about the number 135172800 from the Numbermatics database.
Names of 135172800
- Cardinal: 135172800 can be written as One hundred thirty-five million, one hundred seventy-two thousand, eight hundred.
Scientific notation
- Scientific notation: 1.351728 × 108
Factors of 135172800
Divisors of 135172800
- Number of divisors d(n): 420
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 126 135 140 144 149 150 160 162 168 175 180 189 192 200 210 216 224 225 240 252 270 280 288 298 300 315 320 324 336 350 360 378 400 405 420 432 447 448 450 480 504 525 540 560 567 576 596 600 630 648 672 675 700 720 745 756 800 810 840 864 894 900 945 960 1008 1043 1050 1080 1120 1134 1192 1200 1260 1296 1341 1344 1350 1400 1440 1490 1512 1575 1600 1620 1680 1728 1788 1800 1890 2016 2025 2086 2100 2160 2235 2240 2268 2384 2400 2520 2592 2682 2700 2800 2835 2880 2980 3024 3129 3150 3240 3360 3576 3600 3725 3780 4023 4032 4050 4172 4200 4320 4470 4536 4725 4768 4800 5040 5184 5215 5364 5400 5600 5670 5960 6048 6258 6300 6480 6705 6720 7152 7200 7450 7560 8046 8100 8344 8400 8640 8940 9072 9387 9450 9536 10080 10430 10728 10800 11175 11200 11340 11920 12069 12096 12516 12600 12960 13410 14175 14304 14400 14900 15120 15645 16092 16200 16688 16800 17880 18144 18774 18900 20115 20160 20860 21456 21600 22350 22680 23840 24138 25032 25200 25920 26075 26820 28161 28350 28608 29800 30240 31290 32184 32400 33376 33525 33600 35760 36288 37548 37800 40230 41720 42912 43200 44700 45360 46935 47680 48276 50064 50400 52150 53640 56322 56700 59600 60345 60480 62580 64368 64800 66752 67050 71520 75096 75600 78225 80460 83440 84483 85824 89400 90720 93870 96552 100128 100575 100800 104300 107280 112644 113400 119200 120690 125160 128736 129600 134100 140805 143040 150192 151200 156450 160920 166880 168966 178800 181440 187740 193104 200256 201150 208600 214560 225288 226800 234675 238400 241380 250320 257472 268200 281610 300384 301725 302400 312900 321840 333760 337932 357600 375480 386208 402300 417200 422415 429120 450576 453600 469350 482760 500640 536400 563220 600768 603450 625800 643680 675864 704025 715200 750960 772416 804600 834400 844830 901152 907200 938700 965520 1001280 1072800 1126440 1206900 1251600 1287360 1351728 1408050 1501920 1609200 1668800 1689660 1802304 1877400 1931040 2112075 2145600 2252880 2413800 2503200 2703456 2816100 3003840 3218400 3379320 3754800 3862080 4224150 4505760 4827600 5006400 5406912 5632200 6436800 6758640 7509600 8448300 9011520 9655200 11264400 13517280 15019200 16896600 19310400 22528800 27034560 33793200 45057600 67586400 135172800
- Sum of all divisors σ(n): 571652400
- Sum of proper divisors (its aliquot sum) s(n): 436479600
- 135172800 is an abundant number, because the sum of its proper divisors (436479600) is greater than itself. Its abundance is 301306800
Bases of 135172800
- Binary: 10000000111010010010110000002
- Hexadecimal: 0x80E92C0
- Base-36: 28H800
Squares and roots of 135172800
- 135172800 squared (1351728002) is 18271685859840000
- 135172800 cubed (1351728003) is 2469834938394980352000000
-
The
square root of 135172800 is 11626.3837886077 -
The
cube root of 135172800 is 513.2115676029
Scales and comparisons
How big is 135172800?- 135,172,800 seconds is equal to 4 years, 15 weeks, 3 days, 12 hours.
-
To count from 1 to 135,172,800 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 135172800 cubic inches would be around 42.8 feet tall.
Recreational maths with 135172800
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