238428120
238,428,120 is an even composite number composed of seven prime numbers multiplied together.
238428120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 238428120:
23 × 3 × 5 × 72 × 23 × 41 × 43
(2 × 2 × 2 × 3 × 5 × 7 × 7 × 23 × 41 × 43)See below for interesting mathematical facts about the number 238428120 from the Numbermatics database.
Names of 238428120
- Cardinal: 238428120 can be written as Two hundred thirty-eight million, four hundred twenty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.3842812 × 108
Factors of 238428120
Divisors of 238428120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 41 42 43 46 49 56 60 69 70 82 84 86 92 98 105 115 120 123 129 138 140 147 161 164 168 172 184 196 205 210 215 230 245 246 258 276 280 287 294 301 322 328 344 345 392 410 420 430 460 483 490 492 516 552 574 588 602 615 644 645 690 735 805 820 840 860 861 903 920 943 966 980 984 989 1032 1127 1148 1176 1204 1230 1288 1290 1380 1435 1470 1505 1610 1640 1720 1722 1763 1806 1886 1932 1960 1978 2009 2107 2254 2296 2408 2415 2460 2580 2760 2829 2870 2940 2967 3010 3220 3381 3444 3526 3612 3772 3864 3956 4018 4214 4305 4508 4515 4715 4830 4920 4945 5160 5289 5635 5658 5740 5880 5934 6020 6027 6321 6440 6601 6762 6888 6923 7052 7224 7544 7912 8036 8428 8610 8815 9016 9030 9430 9660 9890 10045 10535 10578 11270 11316 11480 11868 12040 12054 12341 12642 13202 13524 13846 14104 14145 14835 16072 16856 16905 17220 17630 18060 18860 19320 19780 19803 20090 20769 21070 21156 22540 22632 23736 24108 24682 25284 26404 26445 27048 27692 28290 29670 30135 31605 33005 33810 34440 34615 35260 36120 37023 37720 39560 39606 40180 40549 41538 42140 42312 45080 46207 48216 48461 49364 50568 52808 52890 55384 56580 59340 60270 61705 63210 66010 67620 69230 70520 74046 79212 80360 81098 83076 84280 86387 92414 96922 98728 99015 103845 105780 113160 118680 120540 121647 123410 126420 132020 135240 138460 138621 145383 148092 158424 162196 166152 172774 184828 185115 193844 198030 202745 207690 211560 231035 241080 242305 243294 246820 252840 259161 264040 276920 277242 283843 290766 296184 324392 345548 369656 370230 387688 396060 405490 415380 431935 462070 484610 486588 493640 518322 554484 567686 581532 608235 691096 693105 726915 740460 792120 810980 830760 851529 863870 924140 969220 973176 1036644 1108968 1135372 1163064 1216470 1295805 1386210 1419215 1453830 1480920 1621960 1703058 1727740 1848280 1938440 1986901 2073288 2270744 2432940 2591610 2772420 2838430 2907660 3406116 3455480 3973802 4257645 4865880 5183220 5544840 5676860 5815320 5960703 6812232 7947604 8515290 9934505 10366440 11353720 11921406 15895208 17030580 19869010 23842812 29803515 34061160 39738020 47685624 59607030 79476040 119214060 238428120
- Sum of all divisors σ(n): 910103040
- Sum of proper divisors (its aliquot sum) s(n): 671674920
- 238428120 is an abundant number, because the sum of its proper divisors (671674920) is greater than itself. Its abundance is 433246800
Bases of 238428120
- Binary: 11100011011000011111110110002
- Hexadecimal: 0xE361FD8
- Base-36: 3XYCBC
Squares and roots of 238428120
- 238428120 squared (2384281202) is 56847968406734400
- 238428120 cubed (2384281203) is 13554154233037078331328000
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The
square root of 238428120 is 15441.1178351829 -
The
cube root of 238428120 is 620.0868071309
Scales and comparisons
How big is 238428120?- 238,428,120 seconds is equal to 7 years, 30 weeks, 1 day, 14 hours, 2 minutes.
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To count from 1 to 238,428,120 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 238428120 cubic inches would be around 51.7 feet tall.
Recreational maths with 238428120
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