242138400
242,138,400 is an even composite number composed of six prime numbers multiplied together.
242138400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 242138400:
25 × 3 × 52 × 72 × 29 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 29 × 71)See below for interesting mathematical facts about the number 242138400 from the Numbermatics database.
Names of 242138400
- Cardinal: 242138400 can be written as Two hundred forty-two million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.421384 × 108
Factors of 242138400
Divisors of 242138400
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 49 50 56 58 60 70 71 75 80 84 87 96 98 100 105 112 116 120 140 142 145 147 150 160 168 174 175 196 200 203 210 213 224 232 240 245 280 284 290 294 300 336 348 350 355 392 400 406 420 426 435 464 480 490 497 525 560 568 580 588 600 609 672 696 700 710 725 735 784 800 812 840 852 870 928 980 994 1015 1050 1065 1120 1136 1160 1176 1200 1218 1225 1392 1400 1420 1421 1450 1470 1491 1568 1624 1680 1704 1740 1775 1960 1988 2030 2059 2100 2130 2175 2272 2320 2352 2400 2436 2450 2485 2784 2800 2840 2842 2900 2940 2982 3045 3248 3360 3408 3479 3480 3550 3675 3920 3976 4060 4118 4200 4260 4263 4350 4640 4704 4872 4900 4970 5075 5325 5600 5680 5684 5800 5880 5964 6090 6177 6496 6816 6958 6960 7100 7105 7350 7455 7840 7952 8120 8236 8400 8520 8526 8700 9744 9800 9940 10150 10295 10437 10650 11360 11368 11600 11760 11928 12180 12354 12425 13916 13920 14200 14210 14413 14700 14910 15225 15904 16240 16472 16800 17040 17052 17395 17400 19488 19600 19880 20300 20590 20874 21300 21315 22736 23200 23520 23856 24360 24708 24850 27832 28400 28420 28826 29400 29820 30450 30885 32480 32944 34080 34104 34790 34800 35525 37275 39200 39760 40600 41180 41748 42600 42630 43239 45472 47712 48720 49416 49700 51475 52185 55664 56800 56840 57652 58800 59640 60900 61770 65888 68208 69580 69600 71050 72065 74550 79520 81200 82360 83496 85200 85260 86478 86975 97440 98832 99400 100891 102950 104370 106575 111328 113680 115304 117600 119280 121800 123540 136416 139160 142100 144130 149100 154425 162400 164720 166992 170400 170520 172956 173950 197664 198800 201782 205900 208740 213150 216195 227360 230608 238560 243600 247080 260925 278320 284200 288260 298200 302673 308850 329440 333984 341040 345912 347900 360325 397600 403564 411800 417480 426300 432390 461216 487200 494160 504455 521850 556640 568400 576520 596400 605346 617700 682080 691824 695800 720650 807128 823600 834960 852600 864780 988320 1008910 1043700 1080975 1136800 1153040 1192800 1210692 1235400 1383648 1391600 1441300 1513365 1614256 1647200 1669920 1705200 1729560 2017820 2087400 2161950 2306080 2421384 2470800 2522275 2783200 2882600 3026730 3228512 3410400 3459120 4035640 4174800 4323900 4842768 4941600 5044550 5765200 6053460 6918240 7566825 8071280 8349600 8647800 9685536 10089100 11530400 12106920 15133650 16142560 17295600 20178200 24213840 30267300 34591200 40356400 48427680 60534600 80712800 121069200 242138400
- Sum of all divisors σ(n): 961813440
- Sum of proper divisors (its aliquot sum) s(n): 719675040
- 242138400 is an abundant number, because the sum of its proper divisors (719675040) is greater than itself. Its abundance is 477536640
Bases of 242138400
- Binary: 11100110111010111101001000002
- Hexadecimal: 0xE6EBD20
- Base-36: 405V6O
Squares and roots of 242138400
- 242138400 squared (2421384002) is 58631004754560000
- 242138400 cubed (2421384003) is 14196817681661551104000000
-
The
square root of 242138400 is 15560.7968947609 -
The
cube root of 242138400 is 623.2867425561
Scales and comparisons
How big is 242138400?- 242,138,400 seconds is equal to 7 years, 36 weeks, 2 days, 12 hours, 40 minutes.
-
To count from 1 to 242,138,400 would take you about eleven 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 242138400 cubic inches would be around 51.9 feet tall.
Recreational maths with 242138400
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