400428000
400,428,000 is an even composite number composed of five prime numbers multiplied together.
400428000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 400428000:
25 × 32 × 53 × 72 × 227
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 227)See below for interesting mathematical facts about the number 400428000 from the Numbermatics database.
Names of 400428000
- Cardinal: 400428000 can be written as Four hundred million, four hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.00428 × 108
Factors of 400428000
Divisors of 400428000
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 96 98 100 105 112 120 125 126 140 144 147 150 160 168 175 180 196 200 210 224 225 227 240 245 250 252 280 288 294 300 315 336 350 360 375 392 400 420 441 450 454 480 490 500 504 525 560 588 600 630 672 681 700 720 735 750 784 800 840 875 882 900 908 980 1000 1008 1050 1120 1125 1135 1176 1200 1225 1260 1362 1400 1440 1470 1500 1568 1575 1589 1680 1750 1764 1800 1816 1960 2000 2016 2043 2100 2205 2250 2270 2352 2400 2450 2520 2625 2724 2800 2940 3000 3150 3178 3360 3405 3500 3528 3600 3632 3675 3920 4000 4086 4200 4410 4500 4540 4704 4767 4900 5040 5250 5448 5600 5675 5880 6000 6125 6300 6356 6810 7000 7056 7200 7264 7350 7840 7875 7945 8172 8400 8820 9000 9080 9534 9800 10080 10215 10500 10896 11025 11123 11350 11760 12000 12250 12600 12712 13620 14000 14112 14301 14700 15750 15890 16344 16800 17025 17640 18000 18160 18375 19068 19600 20430 21000 21792 22050 22246 22700 23520 23835 24500 25200 25424 27240 28000 28375 28602 29400 31500 31780 32688 33369 34050 35280 36000 36320 36750 38136 39200 39725 40860 42000 44100 44492 45400 47670 49000 50400 50848 51075 54480 55125 55615 56750 57204 58800 63000 63560 65376 66738 68100 70560 71505 73500 76272 79450 81720 84000 85125 88200 88984 90800 95340 98000 100107 102150 108960 110250 111230 113500 114408 117600 119175 126000 127120 133476 136200 143010 147000 152544 158900 163440 166845 170250 176400 177968 181600 190680 196000 198625 200214 204300 220500 222460 227000 228816 238350 252000 254240 255375 266952 272400 278075 286020 294000 317800 326880 333690 340500 352800 355936 357525 381360 397250 400428 408600 441000 444920 454000 457632 476700 500535 510750 533904 544800 556150 572040 588000 595875 635600 667380 681000 715050 762720 794500 800856 817200 834225 882000 889840 908000 953400 1001070 1021500 1067808 1112300 1144080 1191750 1271200 1334760 1362000 1390375 1430100 1589000 1601712 1634400 1668450 1764000 1779680 1787625 1906800 2002140 2043000 2224600 2288160 2383500 2502675 2669520 2724000 2780750 2860200 3178000 3203424 3336900 3575250 3813600 4004280 4086000 4171125 4449200 4767000 5005350 5339040 5561500 5720400 6356000 6673800 7150500 8008560 8172000 8342250 8898400 9534000 10010700 11123000 11440800 12513375 13347600 14301000 16017120 16684500 19068000 20021400 22246000 25026750 26695200 28602000 33369000 40042800 44492000 50053500 57204000 66738000 80085600 100107000 133476000 200214000 400428000
- Sum of all divisors σ(n): 1660420944
- Sum of proper divisors (its aliquot sum) s(n): 1259992944
- 400428000 is an abundant number, because the sum of its proper divisors (1259992944) is greater than itself. Its abundance is 859564944
Bases of 400428000
- Binary: 101111101111000001011111000002
- Hexadecimal: 0x17DE0BE0
- Base-36: 6MEK80
Squares and roots of 400428000
- 400428000 squared (4004280002) is 160342583184000000
- 400428000 cubed (4004280003) is 64205659899202752000000000
-
The
square root of 400428000 is 20010.6971392803 -
The
cube root of 400428000 is 737.0690003007
Scales and comparisons
How big is 400428000?- 400,428,000 seconds is equal to 12 years, 38 weeks, 14 hours.
-
To count from 1 to 400,428,000 would take you about nineteen 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 400428000 cubic inches would be around 61.4 feet tall.
Recreational maths with 400428000
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