989728320
989,728,320 is an even composite number composed of six prime numbers multiplied together.
989728320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 989728320:
26 × 3 × 5 × 7 × 31 × 4751
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 31 × 4751)See below for interesting mathematical facts about the number 989728320 from the Numbermatics database.
Names of 989728320
- Cardinal: 989728320 can be written as Nine hundred eighty-nine million, seven hundred twenty-eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 9.8972832 × 108
Factors of 989728320
Divisors of 989728320
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 56 60 62 64 70 80 84 93 96 105 112 120 124 140 155 160 168 186 192 210 217 224 240 248 280 310 320 336 372 420 434 448 465 480 496 560 620 651 672 744 840 868 930 960 992 1085 1120 1240 1302 1344 1488 1680 1736 1860 1984 2170 2240 2480 2604 2976 3255 3360 3472 3720 4340 4751 4960 5208 5952 6510 6720 6944 7440 8680 9502 9920 10416 13020 13888 14253 14880 17360 19004 20832 23755 26040 28506 29760 33257 34720 38008 41664 47510 52080 57012 66514 69440 71265 76016 95020 99771 104160 114024 133028 142530 147281 152032 166285 190040 199542 208320 228048 266056 285060 294562 304064 332570 380080 399084 441843 456096 498855 532112 570120 589124 665140 736405 760160 798168 883686 912192 997710 1030967 1064224 1140240 1178248 1330280 1472810 1520320 1596336 1767372 1995420 2061934 2128448 2209215 2280480 2356496 2660560 2945620 3092901 3192672 3534744 3990840 4123868 4418430 4560960 4712992 5154835 5321120 5891240 6185802 6385344 7069488 7981680 8247736 8836860 9425984 10309670 10642240 11782480 12371604 14138976 15464505 15963360 16495472 17673720 20619340 23564960 24743208 28277952 30929010 31926720 32990944 35347440 41238680 47129920 49486416 61858020 65981888 70694880 82477360 98972832 123716040 141389760 164954720 197945664 247432080 329909440 494864160 989728320
- Sum of all divisors σ(n): 3707928576
- Sum of proper divisors (its aliquot sum) s(n): 2718200256
- 989728320 is an abundant number, because the sum of its proper divisors (2718200256) is greater than itself. Its abundance is 1728471936
Bases of 989728320
- Binary: 1110101111111000001110010000002
- Hexadecimal: 0x3AFE0E40
- Base-36: GD9B9C
Squares and roots of 989728320
- 989728320 squared (9897283202) is 979562147410022400
- 989728320 cubed (9897283203) is 969500398491713821114368000
-
The
square root of 989728320 is 31459.9478702683 -
The
cube root of 989728320 is 996.5643162621
Scales and comparisons
How big is 989728320?- 989,728,320 seconds is equal to 31 years, 24 weeks, 3 days, 4 hours, 32 minutes.
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To count from 1 to 989,728,320 would take you about forty-seven 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 989728320 cubic inches would be around 83 feet tall.
Recreational maths with 989728320
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