468000000
468,000,000 is an even composite number composed of four prime numbers multiplied together.
468000000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred seventy-eight divisors.
Prime factorization of 468000000:
28 × 32 × 56 × 13
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13)See below for interesting mathematical facts about the number 468000000 from the Numbermatics database.
Names of 468000000
- Cardinal: 468000000 can be written as Four hundred sixty-eight million.
Scientific notation
- Scientific notation: 4.68 × 108
Factors of 468000000
Divisors of 468000000
- Number of divisors d(n): 378
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 180 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 360 375 384 390 400 416 450 468 480 500 520 576 585 600 624 625 640 650 720 750 768 780 800 832 900 936 960 975 1000 1040 1125 1152 1170 1200 1248 1250 1280 1300 1440 1500 1560 1600 1625 1664 1800 1872 1875 1920 1950 2000 2080 2250 2304 2340 2400 2496 2500 2600 2880 2925 3000 3120 3125 3200 3250 3328 3600 3744 3750 3840 3900 4000 4160 4500 4680 4800 4875 4992 5000 5200 5625 5760 5850 6000 6240 6250 6400 6500 7200 7488 7500 7800 8000 8125 8320 9000 9360 9375 9600 9750 9984 10000 10400 11250 11520 11700 12000 12480 12500 13000 14400 14625 14976 15000 15600 15625 16000 16250 16640 18000 18720 18750 19200 19500 20000 20800 22500 23400 24000 24375 24960 25000 26000 28125 28800 29250 29952 30000 31200 31250 32000 32500 36000 37440 37500 39000 40000 40625 41600 45000 46800 46875 48000 48750 49920 50000 52000 56250 57600 58500 60000 62400 62500 65000 72000 73125 74880 75000 78000 80000 81250 83200 90000 93600 93750 96000 97500 100000 104000 112500 117000 120000 121875 124800 125000 130000 140625 144000 146250 149760 150000 156000 160000 162500 180000 187200 187500 195000 200000 203125 208000 225000 234000 240000 243750 249600 250000 260000 281250 288000 292500 300000 312000 325000 360000 365625 374400 375000 390000 400000 406250 416000 450000 468000 480000 487500 500000 520000 562500 585000 600000 609375 624000 650000 720000 731250 748800 750000 780000 800000 812500 900000 936000 975000 1000000 1040000 1125000 1170000 1200000 1218750 1248000 1300000 1440000 1462500 1500000 1560000 1625000 1800000 1828125 1872000 1950000 2000000 2080000 2250000 2340000 2400000 2437500 2600000 2925000 3000000 3120000 3250000 3600000 3656250 3744000 3900000 4000000 4500000 4680000 4875000 5200000 5850000 6000000 6240000 6500000 7200000 7312500 7800000 9000000 9360000 9750000 10400000 11700000 12000000 13000000 14625000 15600000 18000000 18720000 19500000 23400000 26000000 29250000 31200000 36000000 39000000 46800000 52000000 58500000 78000000 93600000 117000000 156000000 234000000 468000000
- Sum of all divisors σ(n): 1816422062
- Sum of proper divisors (its aliquot sum) s(n): 1348422062
- 468000000 is an abundant number, because the sum of its proper divisors (1348422062) is greater than itself. Its abundance is 880422062
Bases of 468000000
- Binary: 110111110010100011101000000002
- Hexadecimal: 0x1BE51D00
- Base-36: 7QMV40
Squares and roots of 468000000
- 468000000 squared (4680000002) is 219024000000000000
- 468000000 cubed (4680000003) is 102503232000000000000000000
-
The
square root of 468000000 is 21633.3076527839 -
The
cube root of 468000000 is 776.3936076657
Scales and comparisons
How big is 468000000?- 468,000,000 seconds is equal to 14 years, 45 weeks, 5 days, 16 hours.
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To count from 1 to 468,000,000 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 468000000 cubic inches would be around 64.7 feet tall.
Recreational maths with 468000000
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