138962542788608000
138,962,542,788,608,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138962542788608000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2688 divisors.
138962542788608000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 138962542788608000:
227 × 53 × 72 × 113 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 127)See below for interesting mathematical facts about the number 138962542788608000 from the Numbermatics database.
Names of 138962542788608000
- Cardinal: 138962542788608000 can be written as One hundred thirty-eight quadrillion, nine hundred sixty-two trillion, five hundred forty-two billion, seven hundred eighty-eight million, six hundred eight thousand.
Scientific notation
- Scientific notation: 1.38962542788608 × 1017
Factors of 138962542788608000
Divisors of 138962542788608000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 98 100 110 112 121 125 127 128 140 154 160 175 176 196 200 220 224 242 245 250 254 256 275 280 308 320 350 352 385 392 400 440 448 484 490 500 508 512 539 550 560 605 616 635 640 700 704 770 784 800 847 875 880 889 896 968 980 1000 1016 1024 1078 1100 1120 1210 1225 1232 1270 1280 1331 1375 1397 1400 1408 1540 1568 1600 1694 1750 1760 1778 1792 1925 1936 1960 2000 2032 2048 2156 2200 2240 2420 2450 2464 2540 2560 2662 2695 2750 2794 2800 2816 3025 3080 3136 3175 3200 3388 3500 3520 3556 3584 3850 3872 3920 4000 4064 4096 4235 4312 4400 4445 4480 4840 4900 4928 5080 5120 5324 5390 5500 5588 5600 5632 5929 6050 6125 6160 6223 6272 6350 6400 6655 6776 6985 7000 7040 7112 7168 7700 7744 7840 8000 8128 8192 8470 8624 8800 8890 8960 9317 9625 9680 9779 9800 9856 10160 10240 10648 10780 11000 11176 11200 11264 11858 12100 12250 12320 12446 12544 12700 12800 13310 13475 13552 13970 14000 14080 14224 14336 15125 15367 15400 15488 15680 15875 16000 16256 16384 16940 17248 17600 17780 17920 18634 19250 19360 19558 19600 19712 20320 20480 21175 21296 21560 22000 22225 22352 22400 22528 23716 24200 24500 24640 24892 25088 25400 25600 26620 26950 27104 27940 28000 28160 28448 28672 29645 30250 30734 30800 30976 31115 31360 31750 32000 32512 32768 33275 33880 34496 34925 35200 35560 35840 37268 38500 38720 39116 39200 39424 40640 40960 42350 42592 43120 44000 44450 44704 44800 45056 46585 47432 48400 48895 49000 49280 49784 50176 50800 51200 53240 53900 54208 55880 56000 56320 56896 57344 59290 60500 61468 61600 61952 62230 62720 63500 64000 65024 65219 65536 66550 67375 67760 68453 68992 69850 70400 71120 71680 74536 76835 77000 77440 78232 78400 78848 81280 81920 84700 85184 86240 88000 88900 89408 89600 90112 93170 94864 96800 97790 98000 98560 99568 100352 101600 102400 105875 106480 107569 107800 108416 111125 111760 112000 112640 113792 114688 118580 121000 122936 123200 123904 124460 125440 127000 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229690153369600 248147397836800 252659168706560 257815478272000 271411216384000 273548312576000 277925085577216 283597026099200 287112691712000 310184247296000 315823960883200 347406356971520 354496282624000 360941669580800 394779951104000 397035836538880 434257946214400 451177086976000 496294795673600 505318337413120 542822432768000 547096625152000 555850171154432 567194052198400 574225383424000 620368494592000 631647921766400 694812713943040 708992565248000 789559902208000 794071673077760 868515892428800 902354173952000 992589591347200 1085644865536000 1094193250304000 1111700342308864 1148450766848000 1240736989184000 1263295843532800 1389625427886080 1417985130496000 1579119804416000 1737031784857600 1804708347904000 1985179182694400 2171289731072000 2481473978368000 2526591687065600 2779250855772160 2835970260992000 3158239608832000 3474063569715200 3970358365388800 4342579462144000 4962947956736000 5558501711544320 6316479217664000 6948127139430400 8685158924288000 9925895913472000 12632958435328000 13896254278860800 17370317848576000 19851791826944000 27792508557721600 34740635697152000 69481271394304000 138962542788608000
- Sum of all divisors σ(n): 447291224117637120
- Sum of proper divisors (its aliquot sum) s(n): 308328681329029120
- 138962542788608000 is an abundant number, because the sum of its proper divisors (308328681329029120) is greater than itself. Its abundance is 169366138540421120
Bases of 138962542788608000
- Binary: 1111011011011000110110010010010000000000000000000000000002
- Hexadecimal: 0x1EDB1B248000000
- Base-36: 120A3YUTT14W
Squares and roots of 138962542788608000
- 138962542788608000 squared (1389625427886080002) is 19310588298275709264974577664000000
- 138962542788608000 cubed (1389625427886080003) is 2683448452672331193040429409598933630451712000000000
-
The
square root of 138962542788608000 is 372776800.2285120747 -
The
cube root of 138962542788608000 is 517963.6120648085
Scales and comparisons
How big is 138962542788608000?- 138,962,542,788,608,000 seconds is equal to 4,418,579,021 years, 16 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 138,962,542,788,608,000 would take you about thirteen billion, two hundred fifty-five million, seven hundred thirty-seven thousand and sixty-three 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 138962542788608000 cubic inches would be around 43163.6 feet tall.
Recreational maths with 138962542788608000
- 138962542788608000 backwards is 000806887245269831
- 138962542788608000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138962542788608000's digits is 77
- More coming soon!
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"Number 138962542788608000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138962542788608000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138962542788608000/
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The information we have on file for 138962542788608000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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