138321784146
138,321,784,146 is an even composite number composed of seven prime numbers multiplied together.
138321784146 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138321784146:
2 × 3 × 72 × 13 × 17 × 109 × 19531
(2 × 3 × 7 × 7 × 13 × 17 × 109 × 19531)See below for interesting mathematical facts about the number 138321784146 from the Numbermatics database.
Names of 138321784146
- Cardinal: 138321784146 can be written as One hundred thirty-eight billion, three hundred twenty-one million, seven hundred eighty-four thousand, one hundred forty-six.
Scientific notation
- Scientific notation: 1.38321784146 × 1011
Factors of 138321784146
Divisors of 138321784146
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 6 7 13 14 17 21 26 34 39 42 49 51 78 91 98 102 109 119 147 182 218 221 238 273 294 327 357 442 546 637 654 663 714 763 833 1274 1326 1417 1526 1547 1666 1853 1911 2289 2499 2834 3094 3706 3822 4251 4578 4641 4998 5341 5559 8502 9282 9919 10682 10829 11118 12971 16023 19531 19838 21658 24089 25942 29757 32046 32487 38913 39062 48178 58593 59514 64974 69433 72267 77826 90797 117186 136717 138866 144534 168623 181594 208299 253903 272391 273434 332027 337246 410151 416598 505869 507806 544782 664054 761709 820302 957019 996081 1011738 1180361 1523418 1777321 1914038 1992162 2128879 2324189 2360722 2871057 3541083 3554642 4257758 4316351 4648378 5331963 5742114 6386637 6972567 7082166 8632702 10663926 12441247 12773274 12949053 13945134 14902153 16269323 24882494 25898106 27675427 29804306 30214457 32538646 36190943 37323741 44706459 48807969 55350854 60428914 72381886 74647482 83026281 89412918 90643371 97615938 104315071 108572829 166052562 181286742 193727989 208630142 211501199 217145658 253336601 312945213 387455978 423002398 470482259 506673202 581183967 625890426 634503597 760009803 940964518 1162367934 1269007194 1356095923 1411446777 1520019606 1773356207 2712191846 2822893554 3293375813 3546712414 4068287769 5320068621 6586751626 8136575538 9880127439 10640137242 19760254878 23053630691 46107261382 69160892073 138321784146
- Sum of all divisors σ(n): 370336095360
- Sum of proper divisors (its aliquot sum) s(n): 232014311214
- 138321784146 is an abundant number, because the sum of its proper divisors (232014311214) is greater than itself. Its abundance is 93692527068
Bases of 138321784146
- Binary: 100000001101001001111011101101010100102
- Hexadecimal: 0x20349EED52
- Base-36: 1RJL7VPU
Squares and roots of 138321784146
- 138321784146 squared (1383217841462) is 19132915969332616949316
- 138321784146 cubed (1383217841463) is 2646499072793582597340588774344136
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The
square root of 138321784146 is 371916.3671391729 -
The
cube root of 138321784146 is 5171.6627228919
Scales and comparisons
How big is 138321784146?- 138,321,784,146 seconds is equal to 4,398 years, 10 weeks, 4 days, 13 hours, 49 minutes, 6 seconds.
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To count from 1 to 138,321,784,146 would take you about eight thousand, seven hundred ninety-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 138321784146 cubic inches would be around 431 feet tall.
Recreational maths with 138321784146
- 138321784146 backwards is 641487123831
- The number of decimal digits it has is: 12
- The sum of 138321784146's digits is 48
- More coming soon!
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