135168000
135,168,000 is an even composite number composed of four prime numbers multiplied together.
135168000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 135168000:
215 × 3 × 53 × 11
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11)See below for interesting mathematical facts about the number 135168000 from the Numbermatics database.
Names of 135168000
- Cardinal: 135168000 can be written as One hundred thirty-five million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.35168 × 108
Factors of 135168000
Divisors of 135168000
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 125 128 132 150 160 165 176 192 200 220 240 250 256 264 275 300 320 330 352 375 384 400 440 480 500 512 528 550 600 640 660 704 750 768 800 825 880 960 1000 1024 1056 1100 1200 1280 1320 1375 1408 1500 1536 1600 1650 1760 1920 2000 2048 2112 2200 2400 2560 2640 2750 2816 3000 3072 3200 3300 3520 3840 4000 4096 4125 4224 4400 4800 5120 5280 5500 5632 6000 6144 6400 6600 7040 7680 8000 8192 8250 8448 8800 9600 10240 10560 11000 11264 12000 12288 12800 13200 14080 15360 16000 16384 16500 16896 17600 19200 20480 21120 22000 22528 24000 24576 25600 26400 28160 30720 32000 32768 33000 33792 35200 38400 40960 42240 44000 45056 48000 49152 51200 52800 56320 61440 64000 66000 67584 70400 76800 81920 84480 88000 90112 96000 98304 102400 105600 112640 122880 128000 132000 135168 140800 153600 163840 168960 176000 180224 192000 204800 211200 225280 245760 256000 264000 270336 281600 307200 337920 352000 360448 384000 409600 422400 450560 491520 512000 528000 540672 563200 614400 675840 704000 768000 819200 844800 901120 1024000 1056000 1081344 1126400 1228800 1351680 1408000 1536000 1689600 1802240 2048000 2112000 2252800 2457600 2703360 2816000 3072000 3379200 4096000 4224000 4505600 5406720 5632000 6144000 6758400 8448000 9011200 11264000 12288000 13516800 16896000 22528000 27033600 33792000 45056000 67584000 135168000
- Sum of all divisors σ(n): 490726080
- Sum of proper divisors (its aliquot sum) s(n): 355558080
- 135168000 is an abundant number, because the sum of its proper divisors (355558080) is greater than itself. Its abundance is 220390080
Bases of 135168000
- Binary: 10000000111010000000000000002
- Hexadecimal: 0x80E8000
- Base-36: 28H4AO
Squares and roots of 135168000
- 135168000 squared (1351680002) is 18270388224000000
- 135168000 cubed (1351680003) is 2469571835461632000000000
-
The
square root of 135168000 is 11626.1773597343 -
The
cube root of 135168000 is 513.2054927993
Scales and comparisons
How big is 135168000?- 135,168,000 seconds is equal to 4 years, 15 weeks, 3 days, 10 hours, 40 minutes.
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To count from 1 to 135,168,000 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 135168000 cubic inches would be around 42.8 feet tall.
Recreational maths with 135168000
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The information we have on file for 135168000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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