428212800
428,212,800 is an even composite number composed of five prime numbers multiplied together.
428212800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 428212800:
26 × 32 × 52 × 131 × 227
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 131 × 227)See below for interesting mathematical facts about the number 428212800 from the Numbermatics database.
Names of 428212800
- Cardinal: 428212800 can be written as Four hundred twenty-eight million, two hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 4.282128 × 108
Factors of 428212800
Divisors of 428212800
- Number of divisors d(n): 252
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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 96 100 120 131 144 150 160 180 192 200 225 227 240 262 288 300 320 360 393 400 450 454 480 524 576 600 655 681 720 786 800 900 908 960 1048 1135 1179 1200 1310 1362 1440 1572 1600 1800 1816 1965 2043 2096 2270 2358 2400 2620 2724 2880 3144 3275 3405 3600 3632 3930 4086 4192 4540 4716 4800 5240 5448 5675 5895 6288 6550 6810 7200 7264 7860 8172 8384 9080 9432 9825 10215 10480 10896 11350 11790 12576 13100 13620 14400 14528 15720 16344 17025 18160 18864 19650 20430 20960 21792 22700 23580 25152 26200 27240 29475 29737 31440 32688 34050 36320 37728 39300 40860 41920 43584 45400 47160 51075 52400 54480 58950 59474 62880 65376 68100 72640 75456 78600 81720 89211 90800 94320 102150 104800 108960 117900 118948 125760 130752 136200 148685 157200 163440 178422 181600 188640 204300 209600 217920 235800 237896 267633 272400 297370 314400 326880 356844 363200 377280 408600 446055 471600 475792 535266 544800 594740 628800 653760 713688 743425 817200 892110 943200 951584 1070532 1089600 1189480 1338165 1427376 1486850 1634400 1784220 1886400 1903168 2141064 2230275 2378960 2676330 2854752 2973700 3268800 3568440 4282128 4460550 4757920 5352660 5709504 5947400 6690825 7136880 8564256 8921100 9515840 10705320 11894800 13381650 14273760 17128512 17842200 21410640 23789600 26763300 28547520 35684400 42821280 47579200 53526600 71368800 85642560 107053200 142737600 214106400 428212800
- Sum of all divisors σ(n): 1540343376
- Sum of proper divisors (its aliquot sum) s(n): 1112130576
- 428212800 is an abundant number, because the sum of its proper divisors (1112130576) is greater than itself. Its abundance is 683917776
Bases of 428212800
- Binary: 110011000011000000010010000002
- Hexadecimal: 0x19860240
- Base-36: 72Y340
Squares and roots of 428212800
- 428212800 squared (4282128002) is 183366202083840000
- 428212800 cubed (4282128003) is 78519754819686961152000000
-
The
square root of 428212800 is 20693.3032645829 -
The
cube root of 428212800 is 753.7370813689
Scales and comparisons
How big is 428212800?- 428,212,800 seconds is equal to 13 years, 32 weeks, 4 hours.
-
To count from 1 to 428,212,800 would take you about twenty 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 428212800 cubic inches would be around 62.8 feet tall.
Recreational maths with 428212800
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