442427125000
442,427,125,000 is an even composite number composed of five prime numbers multiplied together.
442427125000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 442427125000:
23 × 56 × 73 × 17 × 607
(2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 607)See below for interesting mathematical facts about the number 442427125000 from the Numbermatics database.
Names of 442427125000
- Cardinal: 442427125000 can be written as Four hundred forty-two billion, four hundred twenty-seven million, one hundred twenty-five thousand.
Scientific notation
- Scientific notation: 4.42427125 × 1011
Factors of 442427125000
Divisors of 442427125000
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 49 50 56 68 70 85 98 100 119 125 136 140 170 175 196 200 238 245 250 280 340 343 350 392 425 476 490 500 595 607 625 680 686 700 833 850 875 952 980 1000 1190 1214 1225 1250 1372 1400 1666 1700 1715 1750 1960 2125 2380 2428 2450 2500 2744 2975 3035 3125 3332 3400 3430 3500 4165 4249 4250 4375 4760 4856 4900 5000 5831 5950 6070 6125 6250 6664 6860 7000 8330 8498 8500 8575 8750 9800 10319 10625 11662 11900 12140 12250 12500 13720 14875 15175 15625 16660 16996 17000 17150 17500 20638 20825 21245 21250 21875 23324 23800 24280 24500 25000 29155 29743 29750 30350 30625 31250 33320 33992 34300 35000 41276 41650 42490 42500 42875 43750 46648 49000 51595 53125 58310 59486 59500 60700 61250 62500 68600 72233 74375 75875 82552 83300 84980 85000 85750 87500 103190 104125 106225 106250 109375 116620 118972 119000 121400 122500 125000 144466 145775 148715 148750 151750 153125 166600 169960 171500 175000 206380 208201 208250 212450 212500 214375 218750 233240 237944 245000 257975 265625 288932 291550 297430 297500 303500 306250 343000 361165 371875 379375 412760 416402 416500 424900 425000 428750 437500 505631 515950 520625 531125 531250 577864 583100 594860 595000 607000 612500 722330 728875 743575 743750 758750 765625 832804 833000 849800 857500 875000 1011262 1031900 1041005 1041250 1062250 1062500 1071875 1166200 1189720 1225000 1289875 1444660 1457750 1487150 1487500 1517500 1531250 1665608 1715000 1805825 1859375 1896875 2022524 2063800 2082010 2082500 2124500 2125000 2143750 2528155 2579750 2603125 2655625 2889320 2915500 2974300 2975000 3035000 3062500 3539417 3611650 3644375 3717875 3718750 3793750 4045048 4164020 4165000 4249000 4287500 5056310 5159500 5205025 5206250 5311250 5359375 5831000 5948600 6125000 6449375 7078834 7223300 7288750 7435750 7437500 7587500 8328040 8575000 9029125 9484375 10112620 10319000 10410050 10412500 10622500 10718750 12640775 12898750 13015625 13278125 14157668 14446600 14577500 14871500 14875000 15175000 17697085 18058250 18221875 18589375 18968750 20225240 20820100 20825000 21245000 21437500 25281550 25797500 26025125 26031250 26556250 28315336 29155000 29743000 32246875 35394170 36116500 36443750 37178750 37937500 41640200 42875000 45145625 50563100 51595000 52050250 52062500 53112500 63203875 64493750 66390625 70788340 72233000 72887500 74357500 75875000 88485425 90291250 91109375 92946875 101126200 104100500 104125000 106225000 126407750 128987500 130125625 132781250 141576680 145775000 148715000 161234375 176970850 180582500 182218750 185893750 208201000 225728125 252815500 257975000 260251250 265562500 316019375 322468750 353941700 361165000 364437500 371787500 442427125 451456250 464734375 505631000 520502500 531125000 632038750 644937500 650628125 707883400 728875000 743575000 884854250 902912500 929468750 1041005000 1128640625 1264077500 1289875000 1301256250 1580096875 1769708500 1805825000 1858937500 2212135625 2257281250 2528155000 2602512500 3160193750 3253140625 3539417000 3717875000 4424271250 4514562500 5205025000 6320387500 6506281250 7900484375 8848542500 9029125000 11060678125 12640775000 13012562500 15800968750 17697085000 22121356250 26025125000 31601937500 44242712500 55303390625 63203875000 88485425000 110606781250 221213562500 442427125000
- Sum of all divisors σ(n): 1282483584000
- Sum of proper divisors (its aliquot sum) s(n): 840056459000
- 442427125000 is an abundant number, because the sum of its proper divisors (840056459000) is greater than itself. Its abundance is 397629334000
Bases of 442427125000
- Binary: 1100111000000101011011000101101000010002
- Hexadecimal: 0x6702B62D08
- Base-36: 5N8XOQH4
Squares and roots of 442427125000
- 442427125000 squared (4424271250002) is 195741760935765625000000
- 442427125000 cubed (4424271250003) is 86601464533248095142578125000000000
-
The
square root of 442427125000 is 665151.9563227639 -
The
cube root of 442427125000 is 7619.8644986157
Scales and comparisons
How big is 442427125000?- 442,427,125,000 seconds is equal to 14,067 years, 42 weeks, 2 days, 7 hours, 36 minutes, 40 seconds.
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To count from 1 to 442,427,125,000 would take you about twenty-eight thousand, one hundred thirty-five 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 442427125000 cubic inches would be around 635 feet tall.
Recreational maths with 442427125000
- 442427125000 backwards is 000521724244
- The number of decimal digits it has is: 12
- The sum of 442427125000's digits is 31
- More coming soon!
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