828214400
828,214,400 is an even composite number composed of five prime numbers multiplied together.
828214400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 828214400:
27 × 52 × 13 × 43 × 463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 43 × 463)See below for interesting mathematical facts about the number 828214400 from the Numbermatics database.
Names of 828214400
- Cardinal: 828214400 can be written as Eight hundred twenty-eight million, two hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 8.282144 × 108
Factors of 828214400
Divisors of 828214400
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 43 50 52 64 65 80 86 100 104 128 130 160 172 200 208 215 260 320 325 344 400 416 430 463 520 559 640 650 688 800 832 860 926 1040 1075 1118 1300 1376 1600 1664 1720 1852 2080 2150 2236 2315 2600 2752 2795 3200 3440 3704 4160 4300 4472 4630 5200 5504 5590 6019 6880 7408 8320 8600 8944 9260 10400 11180 11575 12038 13760 13975 14816 17200 17888 18520 19909 20800 22360 23150 24076 27520 27950 29632 30095 34400 35776 37040 39818 41600 44720 46300 48152 55900 59264 60190 68800 71552 74080 79636 89440 92600 96304 99545 111800 120380 137600 148160 150475 159272 178880 185200 192608 199090 223600 240760 258817 296320 300950 318544 357760 370400 385216 398180 447200 481520 497725 517634 601900 637088 740800 770432 796360 894400 963040 995450 1035268 1203800 1274176 1294085 1481600 1592720 1788800 1926080 1990900 2070536 2407600 2548352 2588170 3185440 3852160 3981800 4141072 4815200 5176340 6370880 6470425 7963600 8282144 9630400 10352680 12741760 12940850 15927200 16564288 19260800 20705360 25881700 31854400 33128576 41410720 51763400 63708800 82821440 103526800 165642880 207053600 414107200 828214400
- Sum of all divisors σ(n): 2259438720
- Sum of proper divisors (its aliquot sum) s(n): 1431224320
- 828214400 is an abundant number, because the sum of its proper divisors (1431224320) is greater than itself. Its abundance is 603009920
Bases of 828214400
- Binary: 1100010101110110001100100000002
- Hexadecimal: 0x315D8C80
- Base-36: DP3IBK
Squares and roots of 828214400
- 828214400 squared (8282144002) is 685939092367360000
- 828214400 cubed (8282144003) is 568104633821577641984000000
-
The
square root of 828214400 is 28778.7143562735 -
The
cube root of 828214400 is 939.1052297365
Scales and comparisons
How big is 828214400?- 828,214,400 seconds is equal to 26 years, 17 weeks, 2 days, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 828,214,400 would take you about thirty-nine 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 828214400 cubic inches would be around 78.3 feet tall.
Recreational maths with 828214400
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