442442000
442,442,000 is an even composite number composed of six prime numbers multiplied together.
442442000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 442442000:
24 × 53 × 7 × 11 × 132 × 17
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 13 × 13 × 17)See below for interesting mathematical facts about the number 442442000 from the Numbermatics database.
Names of 442442000
- Cardinal: 442442000 can be written as Four hundred forty-two million, four hundred forty-two thousand.
Scientific notation
- Scientific notation: 4.42442 × 108
Factors of 442442000
Divisors of 442442000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 17 20 22 25 26 28 34 35 40 44 50 52 55 56 65 68 70 77 80 85 88 91 100 104 110 112 119 125 130 136 140 143 154 169 170 175 176 182 187 200 208 220 221 238 250 260 272 275 280 286 308 325 338 340 350 364 374 385 400 425 440 442 455 476 500 520 550 560 572 595 616 650 676 680 700 715 728 748 770 845 850 875 880 884 910 935 952 1000 1001 1040 1100 1105 1144 1183 1190 1232 1300 1309 1352 1360 1375 1400 1430 1456 1496 1540 1547 1625 1690 1700 1750 1768 1820 1859 1870 1904 1925 2000 2002 2125 2200 2210 2275 2288 2366 2380 2431 2600 2618 2704 2750 2800 2860 2873 2975 2992 3080 3094 3250 3380 3400 3500 3536 3575 3640 3718 3740 3850 4004 4225 4250 4400 4420 4550 4675 4732 4760 4862 5005 5200 5236 5500 5525 5720 5746 5915 5950 6160 6188 6500 6545 6760 6800 7000 7150 7280 7436 7480 7700 7735 8008 8450 8500 8840 9100 9295 9350 9464 9520 9625 9724 10010 10472 11000 11050 11375 11440 11492 11830 11900 12155 12376 13000 13013 13090 13520 14000 14300 14365 14872 14875 14960 15400 15470 16016 16900 17000 17017 17680 17875 18200 18590 18700 18928 19250 19448 20020 20111 20944 21125 22000 22100 22750 22984 23375 23660 23800 24310 24752 25025 26000 26026 26180 27625 28600 28730 29575 29744 29750 30800 30940 31603 32725 33800 34000 34034 35750 36400 37180 37400 38500 38675 38896 40040 40222 42250 44200 45500 45968 46475 46750 47320 47600 48620 50050 52052 52360 55250 57200 57460 59150 59500 60775 61880 63206 65065 65450 67600 68068 71500 71825 74360 74800 77000 77350 80080 80444 84500 85085 88400 91000 92950 93500 94640 97240 100100 100555 104104 104720 110500 114920 118300 119000 121550 123760 125125 126412 130130 130900 136136 143000 143650 147875 148720 154000 154700 158015 160888 163625 169000 170170 182000 185900 187000 193375 194480 200200 201110 208208 221000 221221 229840 232375 236600 238000 243100 250250 252824 260260 261800 272272 286000 287300 295750 303875 309400 316030 321776 325325 327250 338000 340340 359125 371800 374000 386750 400400 402220 425425 442000 442442 464750 473200 486200 500500 502775 505648 520520 523600 574600 591500 607750 618800 632060 650650 654500 680680 718250 743600 773500 790075 804440 850850 884884 929500 972400 1001000 1005550 1041040 1106105 1149200 1183000 1215500 1264120 1301300 1309000 1361360 1436500 1547000 1580150 1608880 1626625 1701700 1769768 1859000 2002000 2011100 2127125 2212210 2366000 2431000 2513875 2528240 2602600 2618000 2873000 3094000 3160300 3253250 3403400 3539536 3718000 3950375 4022200 4254250 4424420 4862000 5027750 5205200 5530525 5746000 6320600 6506500 6806800 7900750 8044400 8508500 8848840 10055500 11061050 12641200 13013000 15801500 17017000 17697680 20111000 22122100 26026000 27652625 31603000 34034000 40222000 44244200 55305250 63206000 88488400 110610500 221221000 442442000
- Sum of all divisors σ(n): 1529259264
- Sum of proper divisors (its aliquot sum) s(n): 1086817264
- 442442000 is an abundant number, because the sum of its proper divisors (1086817264) is greater than itself. Its abundance is 644375264
Bases of 442442000
- Binary: 110100101111100100001000100002
- Hexadecimal: 0x1A5F2110
- Base-36: 7BF2FK
Squares and roots of 442442000
- 442442000 squared (4424420002) is 195754923364000000
- 442442000 cubed (4424420003) is 86610199803014888000000000
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The
square root of 442442000 is 21034.3053129881 -
The
cube root of 442442000 is 761.9949894385
Scales and comparisons
How big is 442442000?- 442,442,000 seconds is equal to 14 years, 3 weeks, 3 days, 20 hours, 33 minutes, 20 seconds.
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To count from 1 to 442,442,000 would take you about twenty-one 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 442442000 cubic inches would be around 63.5 feet tall.
Recreational maths with 442442000
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