137420800
137,420,800 is an even composite number composed of four prime numbers multiplied together.
137420800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 137420800:
213 × 52 × 11 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 61)See below for interesting mathematical facts about the number 137420800 from the Numbermatics database.
Names of 137420800
- Cardinal: 137420800 can be written as One hundred thirty-seven million, four hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.374208 × 108
Factors of 137420800
Divisors of 137420800
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 61 64 80 88 100 110 122 128 160 176 200 220 244 256 275 305 320 352 400 440 488 512 550 610 640 671 704 800 880 976 1024 1100 1220 1280 1342 1408 1525 1600 1760 1952 2048 2200 2440 2560 2684 2816 3050 3200 3355 3520 3904 4096 4400 4880 5120 5368 5632 6100 6400 6710 7040 7808 8192 8800 9760 10240 10736 11264 12200 12800 13420 14080 15616 16775 17600 19520 20480 21472 22528 24400 25600 26840 28160 31232 33550 35200 39040 40960 42944 45056 48800 51200 53680 56320 62464 67100 70400 78080 85888 90112 97600 102400 107360 112640 124928 134200 140800 156160 171776 195200 204800 214720 225280 249856 268400 281600 312320 343552 390400 429440 450560 499712 536800 563200 624640 687104 780800 858880 1073600 1126400 1249280 1374208 1561600 1717760 2147200 2252800 2498560 2748416 3123200 3435520 4294400 5496832 6246400 6871040 8588800 12492800 13742080 17177600 27484160 34355200 68710400 137420800
- Sum of all divisors σ(n): 377857512
- Sum of proper divisors (its aliquot sum) s(n): 240436712
- 137420800 is an abundant number, because the sum of its proper divisors (240436712) is greater than itself. Its abundance is 103015912
Bases of 137420800
- Binary: 10000011000011100000000000002
- Hexadecimal: 0x830E000
- Base-36: 29TEKG
Squares and roots of 137420800
- 137420800 squared (1374208002) is 18884476272640000
- 137420800 cubed (1374208003) is 2595119836967206912000000
-
The
square root of 137420800 is 11722.6618137691 -
The
cube root of 137420800 is 516.0409398039
Scales and comparisons
How big is 137420800?- 137,420,800 seconds is equal to 4 years, 19 weeks, 1 day, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 137,420,800 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 137420800 cubic inches would be around 43 feet tall.
Recreational maths with 137420800
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