42084827200
42,084,827,200 is an even composite number composed of six prime numbers multiplied together.
42084827200 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 42084827200:
26 × 52 × 13 × 41 × 61 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 41 × 61 × 809)See below for interesting mathematical facts about the number 42084827200 from the Numbermatics database.
Names of 42084827200
- Cardinal: 42084827200 can be written as Forty-two billion, eighty-four million, eight hundred twenty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 4.20848272 × 1010
Factors of 42084827200
Divisors of 42084827200
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 41 50 52 61 64 65 80 82 100 104 122 130 160 164 200 205 208 244 260 305 320 325 328 400 410 416 488 520 533 610 650 656 793 800 809 820 832 976 1025 1040 1066 1220 1300 1312 1525 1586 1600 1618 1640 1952 2050 2080 2132 2440 2501 2600 2624 2665 3050 3172 3236 3280 3904 3965 4045 4100 4160 4264 4880 5002 5200 5330 6100 6344 6472 6560 7930 8090 8200 8528 9760 10004 10400 10517 10660 12200 12505 12688 12944 13120 13325 15860 16180 16400 17056 19520 19825 20008 20225 20800 21034 21320 24400 25010 25376 25888 26650 31720 32360 32513 32800 33169 34112 39650 40016 40450 42068 42640 48800 49349 50020 50752 51776 52585 53300 62525 63440 64720 65026 65600 66338 79300 80032 80900 84136 85280 97600 98698 100040 105170 106600 125050 126880 129440 130052 132676 158600 160064 161800 162565 165845 168272 170560 197396 200080 210340 213200 246745 250100 253760 258880 260104 262925 265352 317200 323600 325130 331690 336544 394792 400160 420680 426400 431197 493490 500200 520208 525850 530704 634400 641537 647200 650260 663380 673088 789584 800320 812825 829225 841360 852800 862394 986980 1000400 1040416 1051700 1061408 1233725 1268800 1283074 1294400 1300520 1326760 1579168 1625650 1658450 1682720 1724788 1973960 2000800 2023309 2080832 2103400 2122816 2155985 2467450 2566148 2601040 2653520 3158336 3207685 3251300 3316900 3365440 3449576 3947920 4001600 4046618 4206800 4311970 4934900 5132296 5202080 5307040 6415370 6502600 6633800 6899152 7895840 8093236 8413600 8623940 9869800 10116545 10264592 10404160 10614080 10779925 12830740 13005200 13267600 13798304 15791680 16038425 16186472 16827200 17247880 19739600 20233090 20529184 21559850 25661480 26010400 26303017 26535200 27596608 32076850 32372944 34495760 39479200 40466180 41058368 43119700 50582725 51322960 52020800 52606034 53070400 64153700 64745888 68991520 78958400 80932360 86239400 101165450 102645920 105212068 128307400 129491776 131515085 137983040 161864720 172478800 202330900 205291840 210424136 256614800 263030170 323729440 344957600 404661800 420848272 513229600 526060340 647458880 657575425 689915200 809323600 841696544 1026459200 1052120680 1315150850 1618647200 1683393088 2104241360 2630301700 3237294400 4208482720 5260603400 8416965440 10521206800 21042413600 42084827200
- Sum of all divisors σ(n): 116257090320
- Sum of proper divisors (its aliquot sum) s(n): 74172263120
- 42084827200 is an abundant number, because the sum of its proper divisors (74172263120) is greater than itself. Its abundance is 32087435920
Bases of 42084827200
- Binary: 1001110011000111001110000000010000002
- Hexadecimal: 0x9CC738040
- Base-36: JC07WHS
Squares and roots of 42084827200
- 42084827200 squared (420848272002) is 1771132680453859840000
- 42084827200 cubed (420848272003) is 74537812805173508939419648000000
-
The
square root of 42084827200 is 205145.8681036495 -
The
cube root of 42084827200 is 3478.3652426615
Scales and comparisons
How big is 42084827200?- 42,084,827,200 seconds is equal to 1,338 years, 8 weeks, 4 days, 21 hours, 46 minutes, 40 seconds.
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To count from 1 to 42,084,827,200 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 42084827200 cubic inches would be around 289.9 feet tall.
Recreational maths with 42084827200
- 42084827200 backwards is 00272848024
- The number of decimal digits it has is: 11
- The sum of 42084827200's digits is 37
- More coming soon!
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