128064000
128,064,000 is an even composite number composed of five prime numbers multiplied together.
128064000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 128064000:
29 × 3 × 53 × 23 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 23 × 29)See below for interesting mathematical facts about the number 128064000 from the Numbermatics database.
Names of 128064000
- Cardinal: 128064000 can be written as One hundred twenty-eight million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.28064 × 108
Factors of 128064000
Divisors of 128064000
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 29 30 32 40 46 48 50 58 60 64 69 75 80 87 92 96 100 115 116 120 125 128 138 145 150 160 174 184 192 200 230 232 240 250 256 276 290 300 320 345 348 368 375 384 400 435 460 464 480 500 512 552 575 580 600 640 667 690 696 725 736 750 768 800 870 920 928 960 1000 1104 1150 1160 1200 1280 1334 1380 1392 1450 1472 1500 1536 1600 1725 1740 1840 1856 1920 2000 2001 2175 2208 2300 2320 2400 2560 2668 2760 2784 2875 2900 2944 3000 3200 3335 3450 3480 3625 3680 3712 3840 4000 4002 4350 4416 4600 4640 4800 5336 5520 5568 5750 5800 5888 6000 6400 6670 6900 6960 7250 7360 7424 7680 8000 8004 8625 8700 8832 9200 9280 9600 10005 10672 10875 11040 11136 11500 11600 11776 12000 12800 13340 13800 13920 14500 14720 14848 16000 16008 16675 17250 17400 17664 18400 18560 19200 20010 21344 21750 22080 22272 23000 23200 24000 26680 27600 27840 29000 29440 32000 32016 33350 34500 34800 35328 36800 37120 38400 40020 42688 43500 44160 44544 46000 46400 48000 50025 53360 55200 55680 58000 58880 64000 64032 66700 69000 69600 73600 74240 80040 83375 85376 87000 88320 92000 92800 96000 100050 106720 110400 111360 116000 128064 133400 138000 139200 147200 160080 166750 170752 174000 176640 184000 185600 192000 200100 213440 220800 222720 232000 250125 256128 266800 276000 278400 294400 320160 333500 341504 348000 368000 371200 400200 426880 441600 464000 500250 512256 533600 552000 556800 640320 667000 696000 736000 800400 853760 883200 928000 1000500 1024512 1067200 1104000 1113600 1280640 1334000 1392000 1472000 1600800 1707520 1856000 2001000 2134400 2208000 2561280 2668000 2784000 3201600 4002000 4268800 4416000 5122560 5336000 5568000 6403200 8004000 8537600 10672000 12806400 16008000 21344000 25612800 32016000 42688000 64032000 128064000
- Sum of all divisors σ(n): 459613440
- Sum of proper divisors (its aliquot sum) s(n): 331549440
- 128064000 is an abundant number, because the sum of its proper divisors (331549440) is greater than itself. Its abundance is 203485440
Bases of 128064000
- Binary: 1111010001000011010000000002
- Hexadecimal: 0x7A21A00
- Base-36: 248UTC
Squares and roots of 128064000
- 128064000 squared (1280640002) is 16400388096000000
- 128064000 cubed (1280640003) is 2100299301126144000000000
-
The
square root of 128064000 is 11316.5365726443 -
The
cube root of 128064000 is 504.0524006993
Scales and comparisons
How big is 128064000?- 128,064,000 seconds is equal to 4 years, 3 weeks, 5 days, 5 hours, 20 minutes.
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To count from 1 to 128,064,000 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 128064000 cubic inches would be around 42 feet tall.
Recreational maths with 128064000
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