468480000
468,480,000 is an even composite number composed of four prime numbers multiplied together.
468480000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixty divisors.
Prime factorization of 468480000:
212 × 3 × 54 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 61)See below for interesting mathematical facts about the number 468480000 from the Numbermatics database.
Names of 468480000
- Cardinal: 468480000 can be written as Four hundred sixty-eight million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 4.6848 × 108
Factors of 468480000
Divisors of 468480000
- Number of divisors d(n): 260
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 61 64 75 80 96 100 120 122 125 128 150 160 183 192 200 240 244 250 256 300 305 320 366 375 384 400 480 488 500 512 600 610 625 640 732 750 768 800 915 960 976 1000 1024 1200 1220 1250 1280 1464 1500 1525 1536 1600 1830 1875 1920 1952 2000 2048 2400 2440 2500 2560 2928 3000 3050 3072 3200 3660 3750 3840 3904 4000 4096 4575 4800 4880 5000 5120 5856 6000 6100 6144 6400 7320 7500 7625 7680 7808 8000 9150 9600 9760 10000 10240 11712 12000 12200 12288 12800 14640 15000 15250 15360 15616 16000 18300 19200 19520 20000 20480 22875 23424 24000 24400 25600 29280 30000 30500 30720 31232 32000 36600 38125 38400 39040 40000 45750 46848 48000 48800 51200 58560 60000 61000 61440 62464 64000 73200 76250 76800 78080 80000 91500 93696 96000 97600 102400 114375 117120 120000 122000 124928 128000 146400 152500 153600 156160 160000 183000 187392 192000 195200 228750 234240 240000 244000 249856 256000 292800 305000 307200 312320 320000 366000 374784 384000 390400 457500 468480 480000 488000 512000 585600 610000 624640 640000 732000 749568 768000 780800 915000 936960 960000 976000 1171200 1220000 1249280 1280000 1464000 1536000 1561600 1830000 1873920 1920000 1952000 2342400 2440000 2560000 2928000 3123200 3660000 3747840 3840000 3904000 4684800 4880000 5856000 6246400 7320000 7680000 7808000 9369600 9760000 11712000 14640000 15616000 18739200 19520000 23424000 29280000 31232000 39040000 46848000 58560000 78080000 93696000 117120000 156160000 234240000 468480000
- Sum of all divisors σ(n): 1586498408
- Sum of proper divisors (its aliquot sum) s(n): 1118018408
- 468480000 is an abundant number, because the sum of its proper divisors (1118018408) is greater than itself. Its abundance is 649538408
Bases of 468480000
- Binary: 110111110110001110000000000002
- Hexadecimal: 0x1BEC7000
- Base-36: 7QX5HC
Squares and roots of 468480000
- 468480000 squared (4684800002) is 219473510400000000
- 468480000 cubed (4684800003) is 102818950152192000000000000
-
The
square root of 468480000 is 21644.3988135499 -
The
cube root of 468480000 is 776.6589506829
Scales and comparisons
How big is 468480000?- 468,480,000 seconds is equal to 14 years, 46 weeks, 4 days, 5 hours, 20 minutes.
-
To count from 1 to 468,480,000 would take you about twenty-two 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 468480000 cubic inches would be around 64.7 feet tall.
Recreational maths with 468480000
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