42085153600
42,085,153,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 42085153600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
42085153600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 42085153600:
26 × 52 × 7 × 31 × 47 × 2579
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 31 × 47 × 2579)See below for interesting mathematical facts about the number 42085153600 from the Numbermatics database.
Names of 42085153600
- Cardinal: 42085153600 can be written as Forty-two billion, eighty-five million, one hundred fifty-three thousand, six hundred.
Scientific notation
- Scientific notation: 4.20851536 × 1010
Factors of 42085153600
Divisors of 42085153600
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 47 50 56 62 64 70 80 94 100 112 124 140 155 160 175 188 200 217 224 235 248 280 310 320 329 350 376 400 434 448 470 496 560 620 658 700 752 775 800 868 940 992 1085 1120 1175 1240 1316 1400 1457 1504 1550 1600 1645 1736 1880 1984 2170 2240 2350 2480 2579 2632 2800 2914 3008 3100 3290 3472 3760 4340 4700 4960 5158 5264 5425 5600 5828 6200 6580 6944 7285 7520 8225 8680 9400 9920 10199 10316 10528 10850 11200 11656 12400 12895 13160 13888 14570 15040 16450 17360 18053 18800 20398 20632 21056 21700 23312 24800 25790 26320 29140 32900 34720 36106 36425 37600 40796 41264 43400 46624 49600 50995 51580 52640 58280 64475 65800 69440 72212 72850 75200 79949 81592 82528 86800 90265 93248 101990 103160 105280 116560 121213 128950 131600 144424 145700 159898 163184 165056 173600 180530 203980 206320 233120 242426 254975 257900 263200 288848 291400 319796 326368 347200 361060 399745 407960 412640 451325 466240 484852 509950 515800 526400 559643 577696 582800 606065 639592 652736 722120 799490 815920 825280 848491 902650 969704 1019900 1031600 1119286 1155392 1165600 1212130 1279184 1444240 1598980 1631840 1696982 1805300 1939408 1998725 2039800 2063200 2238572 2331200 2424260 2558368 2798215 2888480 3030325 3197960 3263680 3393964 3610600 3757603 3878816 3997450 4079600 4126400 4242455 4477144 4848520 5116736 5596430 5776960 6060650 6395920 6787928 7221200 7515206 7757632 7994900 8159200 8484910 8954288 9697040 11192860 12121300 12791840 13575856 13991075 14442400 15030412 15989800 16318400 16969820 17908576 18788015 19394080 21212275 22385720 24242600 25583680 26303221 27151712 27982150 28884800 30060824 31979600 33939640 35817152 37576030 38788160 42424550 44771440 48485200 52606442 54303424 55964300 60121648 63959200 67879280 75152060 84849100 89542880 93940075 96970400 105212884 111928600 120243296 127918400 131516105 135758560 150304120 169698200 179085760 187880150 193940800 210425768 223857200 240486592 263032210 271517120 300608240 339396400 375760300 420851536 447714400 526064420 601216480 657580525 678792800 751520600 841703072 895428800 1052128840 1202432960 1315161050 1357585600 1503041200 1683406144 2104257680 2630322100 3006082400 4208515360 5260644200 6012164800 8417030720 10521288400 21042576800 42085153600
- Sum of all divisors σ(n): 124814868480
- Sum of proper divisors (its aliquot sum) s(n): 82729714880
- 42085153600 is an abundant number, because the sum of its proper divisors (82729714880) is greater than itself. Its abundance is 40644561280
Bases of 42085153600
- Binary: 1001110011000111100001111011010000002
- Hexadecimal: 0x9CC787B40
- Base-36: JC0EWCG
Squares and roots of 42085153600
- 42085153600 squared (420851536002) is 1771160153535592960000
- 42085153600 cubed (420851536003) is 74539547111745012788678656000000
-
The
square root of 42085153600 is 205146.6636336063 -
The
cube root of 42085153600 is 3478.3742350985
Scales and comparisons
How big is 42085153600?- 42,085,153,600 seconds is equal to 1,338 years, 9 weeks, 1 day, 16 hours, 26 minutes, 40 seconds.
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To count from 1 to 42,085,153,600 would take you about two thousand, six hundred seventy-six 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 42085153600 cubic inches would be around 289.9 feet tall.
Recreational maths with 42085153600
- 42085153600 backwards is 00635158024
- The number of decimal digits it has is: 11
- The sum of 42085153600's digits is 34
- More coming soon!
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