813830400
813,830,400 is an even composite number composed of five prime numbers multiplied together.
813830400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 813830400:
28 × 32 × 52 × 71 × 199
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 71 × 199)See below for interesting mathematical facts about the number 813830400 from the Numbermatics database.
Names of 813830400
- Cardinal: 813830400 can be written as Eight hundred thirteen million, eight hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 8.138304 × 108
Factors of 813830400
Divisors of 813830400
- Number of divisors d(n): 324
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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 71 72 75 80 90 96 100 120 128 142 144 150 160 180 192 199 200 213 225 240 256 284 288 300 320 355 360 384 398 400 426 450 480 568 576 597 600 639 640 710 720 768 796 800 852 900 960 995 1065 1136 1152 1194 1200 1278 1280 1420 1440 1592 1600 1704 1775 1791 1800 1920 1990 2130 2272 2304 2388 2400 2556 2840 2880 2985 3184 3195 3200 3408 3550 3582 3600 3840 3980 4260 4544 4776 4800 4975 5112 5325 5680 5760 5970 6368 6390 6400 6816 7100 7164 7200 7960 8520 8955 9088 9552 9600 9950 10224 10650 11360 11520 11940 12736 12780 13632 14129 14200 14328 14400 14925 15920 15975 17040 17910 18176 19104 19200 19900 20448 21300 22720 23880 25472 25560 27264 28258 28400 28656 28800 29850 31840 31950 34080 35820 38208 39800 40896 42387 42600 44775 45440 47760 50944 51120 54528 56516 56800 57312 57600 59700 63680 63900 68160 70645 71640 76416 79600 81792 84774 85200 89550 90880 95520 102240 113032 113600 114624 119400 127161 127360 127800 136320 141290 143280 152832 159200 163584 169548 170400 179100 191040 204480 211935 226064 227200 229248 238800 254322 254720 255600 272640 282580 286560 318400 339096 340800 353225 358200 382080 408960 423870 452128 454400 458496 477600 508644 511200 565160 573120 635805 636800 678192 681600 706450 716400 764160 817920 847740 904256 955200 1017288 1022400 1059675 1130320 1146240 1271610 1273600 1356384 1363200 1412900 1432800 1695480 1808512 1910400 2034576 2044800 2119350 2260640 2292480 2543220 2712768 2825800 2865600 3179025 3390960 3617024 3820800 4069152 4089600 4238700 4521280 5086440 5425536 5651600 5731200 6358050 6781920 8138304 8477400 9042560 10172880 10851072 11303200 11462400 12716100 13563840 16276608 16954800 18085120 20345760 22606400 25432200 27127680 32553216 33909600 40691520 45212800 50864400 54255360 67819200 81383040 90425600 101728800 135638400 162766080 203457600 271276800 406915200 813830400
- Sum of all divisors σ(n): 2965435200
- Sum of proper divisors (its aliquot sum) s(n): 2151604800
- 813830400 is an abundant number, because the sum of its proper divisors (2151604800) is greater than itself. Its abundance is 1337774400
Bases of 813830400
- Binary: 1100001000001000010001000000002
- Hexadecimal: 0x30821100
- Base-36: DGJ7K0
Squares and roots of 813830400
- 813830400 squared (8138304002) is 662319919964160000
- 813830400 cubed (8138304003) is 539016085392400318464000000
-
The
square root of 813830400 is 28527.7128420773 -
The
cube root of 813830400 is 933.6368174077
Scales and comparisons
How big is 813830400?- 813,830,400 seconds is equal to 25 years, 45 weeks, 4 days, 8 hours.
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To count from 1 to 813,830,400 would take you about thirty-eight 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 813830400 cubic inches would be around 77.8 feet tall.
Recreational maths with 813830400
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