42742144243680
42,742,144,243,680 is an even composite number composed of seven prime numbers multiplied together.
42742144243680 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 42742144243680:
25 × 3 × 5 × 7 × 17 × 1723 × 434293
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 1723 × 434293)See below for interesting mathematical facts about the number 42742144243680 from the Numbermatics database.
Names of 42742144243680
- Cardinal: 42742144243680 can be written as Forty-two trillion, seven hundred forty-two billion, one hundred forty-four million, two hundred forty-three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.274214424368 × 1013
Factors of 42742144243680
Divisors of 42742144243680
- 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 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 68 70 80 84 85 96 102 105 112 119 120 136 140 160 168 170 204 210 224 238 240 255 272 280 336 340 357 408 420 476 480 510 544 560 595 672 680 714 816 840 952 1020 1120 1190 1360 1428 1632 1680 1723 1785 1904 2040 2380 2720 2856 3360 3446 3570 3808 4080 4760 5169 5712 6892 7140 8160 8615 9520 10338 11424 12061 13784 14280 17230 19040 20676 24122 25845 27568 28560 29291 34460 36183 41352 48244 51690 55136 57120 58582 60305 68920 72366 82704 87873 96488 103380 117164 120610 137840 144732 146455 165408 175746 180915 192976 205037 206760 234328 241220 275680 289464 292910 351492 361830 385952 410074 413520 434293 439365 468656 482440 578928 585820 615111 702984 723660 820148 827040 868586 878730 937312 964880 1025185 1157856 1171640 1230222 1302879 1405968 1447320 1640296 1737172 1757460 1929760 2050370 2171465 2343280 2460444 2605758 2811936 2894640 3040051 3075555 3280592 3474344 3514920 4100740 4342930 4686560 4920888 5211516 5789280 6080102 6151110 6514395 6561184 6948688 7029840 7382981 8201480 8685860 9120153 9841776 10423032 12160204 12302220 13028790 13897376 14059680 14765962 15200255 16402960 17371720 18240306 19683552 20846064 22148943 24320408 24604440 26057580 29531924 30400510 32805920 34743440 36480612 36914905 41692128 44297886 45600765 48640816 49208880 51680867 52115160 59063848 60801020 69486880 72961224 73829810 88595772 91201530 97281632 98417760 103361734 104230320 110744715 118127696 121602040 145922448 147659620 155042601 177191544 182403060 206723468 208460640 221489430 236255392 243204080 258404335 291844896 295319240 310085202 354383088 364806120 413446936 442978860 486408160 516808670 590638480 620170404 708766176 729612240 748286839 775213005 826893872 885957720 1033617340 1181276960 1240340808 1459224480 1496573678 1550426010 1653787744 1771915440 2067234680 2244860517 2480681616 2993147356 3100852020 3543830880 3741434195 4134469360 4489721034 4961363232 5238007873 5986294712 6201704040 7482868390 8268938720 8979442068 10476015746 11224302585 11972589424 12403408080 12720876263 14965736780 15714023619 17958884136 20952031492 22448605170 23945178848 24806816160 25441752526 26190039365 29931473560 31428047238 35917768272 38162628789 41904062984 44897210340 50883505052 52380078730 59862947120 62856094476 63604381315 71835536544 76325257578 78570118095 83808125968 89046133841 89794420680 101767010104 104760157460 119725894240 125712188952 127208762630 152650515156 157140236190 167616251936 178092267682 179588841360 190813143945 203534020208 209520314920 251424377904 254417525260 267138401523 305301030312 314280472380 356184535364 359177682720 381626287890 407068040416 419040629840 445230669205 502848755808 508835050520 534276803046 610602060624 628560944760 712369070728 763252575780 838081259680 890461338410 1017670101040 1068553606092 1221204121248 1257121889520 1335692007615 1424738141456 1526505151560 1780922676820 2035340202080 2137107212184 2514243779040 2671384015230 2849476282912 3053010303120 3561845353640 4274214424368 5342768030460 6106020606240 7123690707280 8548428848736 10685536060920 14247381414560 21371072121840 42742144243680
- Sum of all divisors σ(n): 163017929991168
- Sum of proper divisors (its aliquot sum) s(n): 120275785747488
- 42742144243680 is an abundant number, because the sum of its proper divisors (120275785747488) is greater than itself. Its abundance is 77533641503808
Bases of 42742144243680
- Binary: 10011011011111101011100101001100010111111000002
- Hexadecimal: 0x26DFAE5317E0
- Base-36: F5FGX42QO
Squares and roots of 42742144243680
- 42742144243680 squared (427421442436802) is 1826890894547547359219942400
- 42742144243680 cubed (427421442436803) is 78085234132216857257944846227221164032000
-
The
square root of 42742144243680 is 6537747.6430097851 -
The
cube root of 42742144243680 is 34963.8113690577
Scales and comparisons
How big is 42742144243680?- 42,742,144,243,680 seconds is equal to 1,359,067 years, 50 weeks, 5 days, 13 hours, 28 minutes.
-
To count from 1 to 42,742,144,243,680 would take you about three million, three hundred ninety-seven thousand, six hundred sixty-nine 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 42742144243680 cubic inches would be around 2913.7 feet tall.
Recreational maths with 42742144243680
- 42742144243680 backwards is 08634244124724
- 42742144243680 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42742144243680's digits is 51
- More coming soon!
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