996480000
996,480,000 is an even composite number composed of four prime numbers multiplied together.
996480000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred thirty divisors.
Prime factorization of 996480000:
210 × 32 × 54 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 173)See below for interesting mathematical facts about the number 996480000 from the Numbermatics database.
Names of 996480000
- Cardinal: 996480000 can be written as Nine hundred ninety-six million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 9.9648 × 108
Factors of 996480000
Divisors of 996480000
- Number of divisors d(n): 330
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 173 180 192 200 225 240 250 256 288 300 320 346 360 375 384 400 450 480 500 512 519 576 600 625 640 692 720 750 768 800 865 900 960 1000 1024 1038 1125 1152 1200 1250 1280 1384 1440 1500 1536 1557 1600 1730 1800 1875 1920 2000 2076 2250 2304 2400 2500 2560 2595 2768 2880 3000 3072 3114 3200 3460 3600 3750 3840 4000 4152 4325 4500 4608 4800 5000 5120 5190 5536 5625 5760 6000 6228 6400 6920 7200 7500 7680 7785 8000 8304 8650 9000 9216 9600 10000 10380 11072 11250 11520 12000 12456 12800 12975 13840 14400 15000 15360 15570 16000 16608 17300 18000 19200 20000 20760 21625 22144 22500 23040 24000 24912 25600 25950 27680 28800 30000 31140 32000 33216 34600 36000 38400 38925 40000 41520 43250 44288 45000 46080 48000 49824 51900 55360 57600 60000 62280 64000 64875 66432 69200 72000 76800 77850 80000 83040 86500 88576 90000 96000 99648 103800 108125 110720 115200 120000 124560 128000 129750 132864 138400 144000 155700 160000 166080 173000 177152 180000 192000 194625 199296 207600 216250 221440 230400 240000 249120 259500 265728 276800 288000 311400 320000 324375 332160 346000 360000 384000 389250 398592 415200 432500 442880 480000 498240 519000 531456 553600 576000 622800 640000 648750 664320 692000 720000 778500 797184 830400 865000 885760 960000 973125 996480 1038000 1107200 1152000 1245600 1297500 1328640 1384000 1440000 1557000 1594368 1660800 1730000 1920000 1946250 1992960 2076000 2214400 2491200 2595000 2657280 2768000 2880000 3114000 3321600 3460000 3892500 3985920 4152000 4428800 4982400 5190000 5536000 5760000 6228000 6643200 6920000 7785000 7971840 8304000 9964800 10380000 11072000 12456000 13286400 13840000 15570000 16608000 19929600 20760000 22144000 24912000 27680000 31140000 33216000 39859200 41520000 49824000 55360000 62280000 66432000 83040000 99648000 110720000 124560000 166080000 199296000 249120000 332160000 498240000 996480000
- Sum of all divisors σ(n): 3616275234
- Sum of proper divisors (its aliquot sum) s(n): 2619795234
- 996480000 is an abundant number, because the sum of its proper divisors (2619795234) is greater than itself. Its abundance is 1623315234
Bases of 996480000
- Binary: 1110110110010100010100000000002
- Hexadecimal: 0x3B651400
- Base-36: GHA0W0
Squares and roots of 996480000
- 996480000 squared (9964800002) is 992972390400000000
- 996480000 cubed (9964800003) is 989477127585792000000000000
-
The
square root of 996480000 is 31567.0714511183 -
The
cube root of 996480000 is 998.8252872569
Scales and comparisons
How big is 996480000?- 996,480,000 seconds is equal to 31 years, 35 weeks, 4 days, 8 hours.
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To count from 1 to 996,480,000 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 996480000 cubic inches would be around 83.2 feet tall.
Recreational maths with 996480000
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