138327680000
138,327,680,000 is an even composite number composed of four prime numbers multiplied together.
138327680000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred thirty divisors.
Prime factorization of 138327680000:
210 × 54 × 292 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 29 × 29 × 257)See below for interesting mathematical facts about the number 138327680000 from the Numbermatics database.
Names of 138327680000
- Cardinal: 138327680000 can be written as One hundred thirty-eight billion, three hundred twenty-seven million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3832768 × 1011
Factors of 138327680000
Divisors of 138327680000
- Number of divisors d(n): 330
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 250 256 257 290 320 400 464 500 512 514 580 625 640 725 800 841 928 1000 1024 1028 1160 1250 1280 1285 1450 1600 1682 1856 2000 2056 2320 2500 2560 2570 2900 3200 3364 3625 3712 4000 4112 4205 4640 5000 5120 5140 5800 6400 6425 6728 7250 7424 7453 8000 8224 8410 9280 10000 10280 11600 12800 12850 13456 14500 14848 14906 16000 16448 16820 18125 18560 20000 20560 21025 23200 25600 25700 26912 29000 29696 29812 32000 32125 32896 33640 36250 37120 37265 40000 41120 42050 46400 51400 53824 58000 59624 64000 64250 65792 67280 72500 74240 74530 80000 82240 84100 92800 102800 105125 107648 116000 119248 128000 128500 131584 134560 145000 148480 149060 160000 160625 164480 168200 185600 186325 205600 210250 215296 216137 232000 238496 257000 263168 269120 290000 298120 320000 321250 328960 336400 371200 372650 411200 420500 430592 432274 464000 476992 514000 525625 538240 580000 596240 640000 642500 657920 672800 742400 745300 822400 841000 861184 864548 928000 931625 953984 1028000 1051250 1076480 1080685 1160000 1192480 1285000 1315840 1345600 1490600 1644800 1682000 1729096 1856000 1863250 1907968 2056000 2102500 2152960 2161370 2320000 2384960 2570000 2691200 2981200 3289600 3364000 3458192 3712000 3726500 3815936 4112000 4205000 4305920 4322740 4640000 4658125 4769920 5140000 5382400 5403425 5962400 6579200 6728000 6916384 7453000 7631872 8224000 8410000 8645480 9280000 9316250 9539840 10280000 10764800 10806850 11924800 13456000 13832768 14906000 16448000 16820000 17290960 18560000 18632500 19079680 20560000 21529600 21613700 23849600 26912000 27017125 27665536 29812000 32896000 33640000 34581920 37265000 38159360 41120000 43227400 47699200 53824000 54034250 55331072 59624000 67280000 69163840 74530000 82240000 86454800 95398400 107648000 108068500 110662144 119248000 134560000 135085625 138327680 149060000 164480000 172909600 190796800 216137000 221324288 238496000 269120000 270171250 276655360 298120000 345819200 432274000 476992000 538240000 540342500 553310720 596240000 691638400 864548000 953984000 1080685000 1106621440 1192480000 1383276800 1729096000 2161370000 2384960000 2766553600 3458192000 4322740000 4769920000 5533107200 6916384000 8645480000 13832768000 17290960000 27665536000 34581920000 69163840000 138327680000
- Sum of all divisors σ(n): 359258239626
- Sum of proper divisors (its aliquot sum) s(n): 220930559626
- 138327680000 is an abundant number, because the sum of its proper divisors (220930559626) is greater than itself. Its abundance is 82602879626
Bases of 138327680000
- Binary: 100000001101001111100011100100000000002
- Hexadecimal: 0x2034F8E400
- Base-36: 1RJOQ8ZK
Squares and roots of 138327680000
- 138327680000 squared (1383276800002) is 19134547054182400000000
- 138327680000 cubed (1383276800003) is 2646837501855885688832000000000000
-
The
square root of 138327680000 is 371924.2933716485 -
The
cube root of 138327680000 is 5171.7362011595
Scales and comparisons
How big is 138327680000?- 138,327,680,000 seconds is equal to 4,398 years, 20 weeks, 2 days, 19 hours, 33 minutes, 20 seconds.
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To count from 1 to 138,327,680,000 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 138327680000 cubic inches would be around 431 feet tall.
Recreational maths with 138327680000
- 138327680000 backwards is 000086723831
- The number of decimal digits it has is: 12
- The sum of 138327680000's digits is 38
- More coming soon!
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