42438070080
42,438,070,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 42438070080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
42438070080 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 42438070080:
26 × 32 × 5 × 7 × 41 × 51343
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 41 × 51343)See below for interesting mathematical facts about the number 42438070080 from the Numbermatics database.
Names of 42438070080
- Cardinal: 42438070080 can be written as Forty-two billion, four hundred thirty-eight million, seventy thousand and eighty.
Scientific notation
- Scientific notation: 4.243807008 × 1010
Factors of 42438070080
Divisors of 42438070080
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 41 42 45 48 56 60 63 64 70 72 80 82 84 90 96 105 112 120 123 126 140 144 160 164 168 180 192 205 210 224 240 246 252 280 287 288 315 320 328 336 360 369 410 420 448 480 492 504 560 574 576 615 630 656 672 720 738 820 840 861 960 984 1008 1120 1148 1230 1260 1312 1344 1435 1440 1476 1640 1680 1722 1845 1968 2016 2240 2296 2460 2520 2583 2624 2870 2880 2952 3280 3360 3444 3690 3936 4032 4305 4592 4920 5040 5166 5740 5904 6560 6720 6888 7380 7872 8610 9184 9840 10080 10332 11480 11808 12915 13120 13776 14760 17220 18368 19680 20160 20664 22960 23616 25830 27552 29520 34440 39360 41328 45920 51343 51660 55104 59040 68880 82656 91840 102686 103320 118080 137760 154029 165312 205372 206640 256715 275520 308058 359401 410744 413280 462087 513430 616116 718802 770145 821488 826560 924174 1026860 1078203 1232232 1437604 1540290 1642976 1797005 1848348 2053720 2105063 2156406 2310435 2464464 2875208 3080580 3234609 3285952 3594010 3696696 4107440 4210126 4312812 4620870 4928928 5391015 5750416 6161160 6315189 6469218 7188020 7393392 8214880 8420252 8625624 9241740 9857856 10525315 10782030 11500832 12322320 12630378 12938436 14376040 14735441 14786784 16173045 16429760 16840504 17251248 18483480 18945567 21050630 21564060 23001664 24644640 25260756 25876872 28752080 29470882 29573568 31575945 32346090 33681008 34502496 36966960 37891134 42101260 43128120 44206323 49289280 50521512 51753744 57504160 58941764 63151890 64692180 67362016 69004992 73677205 73933920 75782268 84202520 86256240 88412646 94727835 101043024 103507488 115008320 117883528 126303780 129384360 132618969 134724032 147354410 147867840 151564536 168405040 172512480 176825292 189455670 202086048 207014976 221031615 235767056 252607560 258768720 265237938 294708820 303129072 336810080 345024960 353650584 378911340 404172096 442063230 471534112 505215120 517537440 530475876 589417640 606258144 663094845 673620160 707301168 757822680 884126460 943068224 1010430240 1035074880 1060951752 1178835280 1212516288 1326189690 1414602336 1515645360 1768252920 2020860480 2121903504 2357670560 2652379380 2829204672 3031290720 3536505840 4243807008 4715341120 5304758760 6062581440 7073011680 8487614016 10609517520 14146023360 21219035040 42438070080
- Sum of all divisors σ(n): 170894191104
- Sum of proper divisors (its aliquot sum) s(n): 128456121024
- 42438070080 is an abundant number, because the sum of its proper divisors (128456121024) is greater than itself. Its abundance is 86018050944
Bases of 42438070080
- Binary: 1001111000011000000110001111010000002
- Hexadecimal: 0x9E1818F40
- Base-36: JHUJ4G0
Squares and roots of 42438070080
- 42438070080 squared (424380700802) is 1800989792114991206400
- 42438070080 cubed (424380700803) is 76430531011140628235786944512000
-
The
square root of 42438070080 is 206005.0244047461 -
The
cube root of 42438070080 is 3488.0701333291
Scales and comparisons
How big is 42438070080?- 42,438,070,080 seconds is equal to 1,349 years, 20 weeks, 5 days, 8 hours, 48 minutes.
-
To count from 1 to 42,438,070,080 would take you about two thousand, six hundred ninety-eight 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 42438070080 cubic inches would be around 290.7 feet tall.
Recreational maths with 42438070080
- 42438070080 backwards is 08007083424
- 42438070080 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42438070080's digits is 36
- More coming soon!
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