134688000
134,688,000 is an even composite number composed of five prime numbers multiplied together.
134688000 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 134688000:
28 × 3 × 53 × 23 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 23 × 61)See below for interesting mathematical facts about the number 134688000 from the Numbermatics database.
Names of 134688000
- Cardinal: 134688000 can be written as One hundred thirty-four million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.34688 × 108
Factors of 134688000
Divisors of 134688000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 61 64 69 75 80 92 96 100 115 120 122 125 128 138 150 160 183 184 192 200 230 240 244 250 256 276 300 305 320 345 366 368 375 384 400 460 480 488 500 552 575 600 610 640 690 732 736 750 768 800 915 920 960 976 1000 1104 1150 1200 1220 1280 1380 1403 1464 1472 1500 1525 1600 1725 1830 1840 1920 1952 2000 2208 2300 2400 2440 2760 2806 2875 2928 2944 3000 3050 3200 3450 3660 3680 3840 3904 4000 4209 4416 4575 4600 4800 4880 5520 5612 5750 5856 5888 6000 6100 6400 6900 7015 7320 7360 7625 7808 8000 8418 8625 8832 9150 9200 9600 9760 11040 11224 11500 11712 12000 12200 13800 14030 14640 14720 15250 15616 16000 16836 17250 17664 18300 18400 19200 19520 21045 22080 22448 22875 23000 23424 24000 24400 27600 28060 29280 29440 30500 32000 33672 34500 35075 36600 36800 39040 42090 44160 44896 45750 46000 46848 48000 48800 55200 56120 58560 61000 67344 69000 70150 73200 73600 78080 84180 88320 89792 91500 92000 96000 97600 105225 110400 112240 117120 122000 134688 138000 140300 146400 147200 168360 175375 179584 183000 184000 195200 210450 220800 224480 234240 244000 269376 276000 280600 292800 336720 350750 359168 366000 368000 390400 420900 441600 448960 488000 526125 538752 552000 561200 585600 673440 701500 732000 736000 841800 897920 976000 1052250 1077504 1104000 1122400 1171200 1346880 1403000 1464000 1683600 1795840 1952000 2104500 2208000 2244800 2693760 2806000 2928000 3367200 4209000 4489600 5387520 5612000 5856000 6734400 8418000 8979200 11224000 13468800 16836000 22448000 26937600 33672000 44896000 67344000 134688000
- Sum of all divisors σ(n): 474469632
- Sum of proper divisors (its aliquot sum) s(n): 339781632
- 134688000 is an abundant number, because the sum of its proper divisors (339781632) is greater than itself. Its abundance is 205093632
Bases of 134688000
- Binary: 10000000011100101101000000002
- Hexadecimal: 0x8072D00
- Base-36: 286TXC
Squares and roots of 134688000
- 134688000 squared (1346880002) is 18140857344000000
- 134688000 cubed (1346880003) is 2443355793948672000000000
-
The
square root of 134688000 is 11605.5159299361 -
The
cube root of 134688000 is 512.5972847243
Scales and comparisons
How big is 134688000?- 134,688,000 seconds is equal to 4 years, 14 weeks, 4 days, 21 hours, 20 minutes.
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To count from 1 to 134,688,000 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 134688000 cubic inches would be around 42.7 feet tall.
Recreational maths with 134688000
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