137984000
137,984,000 is an even composite number composed of four prime numbers multiplied together.
137984000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137984000:
211 × 53 × 72 × 11
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11)See below for interesting mathematical facts about the number 137984000 from the Numbermatics database.
Names of 137984000
- Cardinal: 137984000 can be written as One hundred thirty-seven million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.37984 × 108
Factors of 137984000
Divisors of 137984000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 98 100 110 112 125 128 140 154 160 175 176 196 200 220 224 245 250 256 275 280 308 320 350 352 385 392 400 440 448 490 500 512 539 550 560 616 640 700 704 770 784 800 875 880 896 980 1000 1024 1078 1100 1120 1225 1232 1280 1375 1400 1408 1540 1568 1600 1750 1760 1792 1925 1960 2000 2048 2156 2200 2240 2450 2464 2560 2695 2750 2800 2816 3080 3136 3200 3500 3520 3584 3850 3920 4000 4312 4400 4480 4900 4928 5120 5390 5500 5600 5632 6125 6160 6272 6400 7000 7040 7168 7700 7840 8000 8624 8800 8960 9625 9800 9856 10240 10780 11000 11200 11264 12250 12320 12544 12800 13475 14000 14080 14336 15400 15680 16000 17248 17600 17920 19250 19600 19712 21560 22000 22400 22528 24500 24640 25088 25600 26950 28000 28160 30800 31360 32000 34496 35200 35840 38500 39200 39424 43120 44000 44800 49000 49280 50176 51200 53900 56000 56320 61600 62720 64000 67375 68992 70400 71680 77000 78400 78848 86240 88000 89600 98000 98560 100352 107800 112000 112640 123200 125440 128000 134750 137984 140800 154000 156800 157696 172480 176000 179200 196000 197120 215600 224000 246400 250880 256000 269500 275968 281600 308000 313600 344960 352000 358400 392000 394240 431200 448000 492800 501760 539000 551936 563200 616000 627200 689920 704000 784000 788480 862400 896000 985600 1078000 1103872 1232000 1254400 1379840 1408000 1568000 1724800 1792000 1971200 2156000 2464000 2508800 2759680 2816000 3136000 3449600 3942400 4312000 4928000 5519360 6272000 6899200 8624000 9856000 12544000 13798400 17248000 19712000 27596800 34496000 68992000 137984000
- Sum of all divisors σ(n): 436952880
- Sum of proper divisors (its aliquot sum) s(n): 298968880
- 137984000 is an abundant number, because the sum of its proper divisors (298968880) is greater than itself. Its abundance is 160984880
Bases of 137984000
- Binary: 10000011100101111000000000002
- Hexadecimal: 0x8397800
- Base-36: 2A5H4W
Squares and roots of 137984000
- 137984000 squared (1379840002) is 19039584256000000
- 137984000 cubed (1379840003) is 2627157993979904000000000
-
The
square root of 137984000 is 11746.6590995057 -
The
cube root of 137984000 is 516.7449528731
Scales and comparisons
How big is 137984000?- 137,984,000 seconds is equal to 4 years, 20 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 137,984,000 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 137984000 cubic inches would be around 43.1 feet tall.
Recreational maths with 137984000
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