990230400
990,230,400 is an even composite number composed of five prime numbers multiplied together.
990230400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 990230400:
27 × 33 × 52 × 73 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 73 × 157)See below for interesting mathematical facts about the number 990230400 from the Numbermatics database.
Names of 990230400
- Cardinal: 990230400 can be written as Nine hundred ninety million, two hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 9.902304 × 108
Factors of 990230400
Divisors of 990230400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 73 75 80 90 96 100 108 120 128 135 144 146 150 157 160 180 192 200 216 219 225 240 270 288 292 300 314 320 360 365 384 400 432 438 450 471 480 540 576 584 600 628 640 657 675 720 730 785 800 864 876 900 942 960 1080 1095 1152 1168 1200 1256 1314 1350 1413 1440 1460 1570 1600 1728 1752 1800 1825 1884 1920 1971 2160 2190 2336 2355 2400 2512 2628 2700 2826 2880 2920 3140 3200 3285 3456 3504 3600 3650 3768 3925 3942 4239 4320 4380 4672 4710 4800 5024 5256 5400 5475 5652 5760 5840 6280 6570 7008 7065 7200 7300 7536 7850 7884 8478 8640 8760 9344 9420 9600 9855 10048 10512 10800 10950 11304 11461 11680 11775 12560 13140 14016 14130 14400 14600 15072 15700 15768 16425 16956 17280 17520 18840 19710 20096 21024 21195 21600 21900 22608 22922 23360 23550 25120 26280 28032 28260 28800 29200 30144 31400 31536 32850 33912 34383 35040 35325 37680 39420 42048 42390 43200 43800 45216 45844 46720 47100 49275 50240 52560 56520 57305 58400 60288 62800 63072 65700 67824 68766 70080 70650 75360 78840 84096 84780 86400 87600 90432 91688 94200 98550 100480 103149 105120 105975 113040 114610 116800 125600 126144 131400 135648 137532 140160 141300 150720 157680 169560 171915 175200 180864 183376 188400 197100 206298 210240 211950 226080 229220 233600 251200 252288 262800 271296 275064 282600 286525 301440 309447 315360 339120 343830 350400 366752 376800 394200 412596 420480 423900 452160 458440 502400 515745 525600 542592 550128 565200 573050 618894 630720 678240 687660 700800 733504 753600 788400 825192 847800 859575 904320 916880 1031490 1051200 1100256 1130400 1146100 1237788 1261440 1356480 1375320 1467008 1507200 1547235 1576800 1650384 1695600 1719150 1833760 2062980 2102400 2200512 2260800 2292200 2475576 2578725 2712960 2750640 3094470 3153600 3300768 3391200 3438300 3667520 4125960 4401024 4521600 4584400 4951152 5157450 5501280 6188940 6307200 6601536 6782400 6876600 7335040 7736175 8251920 9168800 9902304 10314900 11002560 12377880 13203072 13564800 13753200 15472350 16503840 18337600 19804608 20629800 22005120 24755760 27506400 30944700 33007680 36675200 39609216 41259600 49511520 55012800 61889400 66015360 82519200 99023040 110025600 123778800 165038400 198046080 247557600 330076800 495115200 990230400
- Sum of all divisors σ(n): 3697010400
- Sum of proper divisors (its aliquot sum) s(n): 2706780000
- 990230400 is an abundant number, because the sum of its proper divisors (2706780000) is greater than itself. Its abundance is 1716549600
Bases of 990230400
- Binary: 1110110000010110110111100000002
- Hexadecimal: 0x3B05B780
- Base-36: GDK2O0
Squares and roots of 990230400
- 990230400 squared (9902304002) is 980556245084160000
- 990230400 cubed (9902304003) is 970976602792185790464000000
-
The
square root of 990230400 is 31467.9265284511 -
The
cube root of 990230400 is 996.7328037205
Scales and comparisons
How big is 990230400?- 990,230,400 seconds is equal to 31 years, 25 weeks, 2 days.
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To count from 1 to 990,230,400 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 990230400 cubic inches would be around 83.1 feet tall.
Recreational maths with 990230400
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