380728837728000
380,728,837,728,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 380728837728000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
380728837728000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 380728837728000:
28 × 33 × 53 × 17 × 53 × 127 × 3851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 53 × 127 × 3851)See below for interesting mathematical facts about the number 380728837728000 from the Numbermatics database.
Names of 380728837728000
- Cardinal: 380728837728000 can be written as Three hundred eighty trillion, seven hundred twenty-eight billion, eight hundred thirty-seven million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.80728837728 × 1014
Factors of 380728837728000
Divisors of 380728837728000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 53 54 60 64 68 72 75 80 85 90 96 100 102 106 108 120 125 127 128 135 136 144 150 153 159 160 170 180 192 200 204 212 216 225 240 250 254 255 256 265 270 272 288 300 306 318 320 340 360 375 381 384 400 408 424 425 432 450 459 477 480 500 508 510 530 540 544 576 600 612 635 636 640 675 680 720 750 762 765 768 795 800 816 848 850 864 900 901 918 954 960 1000 1016 1020 1060 1080 1088 1125 1143 1152 1200 1224 1270 1272 1275 1280 1325 1350 1360 1431 1440 1500 1524 1530 1590 1600 1632 1696 1700 1728 1800 1802 1836 1905 1908 1920 2000 2032 2040 2120 2125 2159 2160 2176 2250 2286 2295 2304 2385 2400 2448 2540 2544 2550 2650 2700 2703 2720 2862 2880 3000 3048 3060 3175 3180 3200 3264 3375 3392 3400 3429 3456 3600 3604 3672 3810 3816 3825 3840 3851 3975 4000 4064 4080 4240 4250 4318 4320 4352 4500 4505 4572 4590 4770 4800 4896 5080 5088 5100 5300 5400 5406 5440 5715 5724 5760 6000 6096 6120 6350 6360 6375 6400 6477 6528 6625 6731 6750 6784 6800 6858 6912 7155 7200 7208 7344 7620 7632 7650 7702 7950 8000 8109 8128 8160 8480 8500 8636 8640 9000 9010 9144 9180 9525 9540 9600 9792 10160 10176 10200 10600 10795 10800 10812 10880 11430 11448 11475 11520 11553 11925 12000 12192 12240 12700 12720 12750 12954 13056 13250 13462 13500 13515 13568 13600 13716 14310 14400 14416 14688 15240 15264 15300 15404 15875 15900 16000 16218 16256 16320 16960 17000 17145 17272 17280 18000 18020 18288 18360 19050 19080 19125 19200 19255 19431 19584 19875 20193 20320 20352 20400 21200 21590 21600 21624 21760 22525 22860 22896 22950 23106 23850 24000 24327 24384 24480 25400 25440 25500 25908 26500 26924 27000 27030 27200 27432 28575 28620 28800 28832 29376 30480 30528 30600 30808 31750 31800 32000 32385 32436 32512 32640 33655 33920 34000 34290 34544 34560 34659 35775 36000 36040 36576 36720 38100 38160 38250 38510 38862 39168 39750 40386 40545 40640 40704 40800 42400 43180 43200 43248 45050 45720 45792 45900 46212 47625 47700 48000 48654 48768 48960 50800 50880 51000 51816 53000 53848 53975 54000 54060 54400 54864 57150 57240 57375 57600 57664 57765 58293 58752 59625 60579 60960 61056 61200 61616 63500 63600 64770 64872 65280 65467 67310 67575 67840 68000 68580 69088 69318 71550 72000 72080 73152 73440 76200 76320 76500 77020 77724 79500 80772 81090 81280 81600 84800 85725 86360 86400 86496 90100 91440 91584 91800 92424 95250 95400 96000 96275 97155 97308 97536 97920 100965 101600 101760 102000 103632 103977 106000 107696 107950 108000 108120 108800 109728 112625 114300 114427 114480 114750 115328 115530 116586 117504 119250 121158 121635 121920 122112 122400 123232 127000 127200 129540 129744 130934 134620 135150 136000 137160 138176 138636 142875 143100 144000 144160 146304 146880 152400 152640 153000 154040 155448 159000 161544 161925 162180 162560 163200 168275 169600 171450 172720 172800 172992 173295 178875 180200 181737 182880 183168 183600 184848 190500 190800 192550 194310 194616 195840 196401 201930 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14101068064000 15229153509120 15863701572000 19036441886400 21151602096000 22395813984000 23795552358000 25381922515200 31727403144000 38072883772800 42303204192000 47591104716000 63454806288000 76145767545600 95182209432000 126909612576000 190364418864000 380728837728000
- Sum of all divisors σ(n): 1528157097492480
- Sum of proper divisors (its aliquot sum) s(n): 1147428259764480
- 380728837728000 is an abundant number, because the sum of its proper divisors (1147428259764480) is greater than itself. Its abundance is 766699422036480
Bases of 380728837728000
- Binary: 10101101001000101010101110010000011100111000000002
- Hexadecimal: 0x15A455720E700
- Base-36: 3QYGEVUTC0
Squares and roots of 380728837728000
- 380728837728000 squared (3807288377280002) is 144954447877713756201984000000
- 380728837728000 cubed (3807288377280003) is 55188338463985914672658519927652352000000000
-
The
square root of 380728837728000 is 19512274.0275960659 -
The
cube root of 380728837728000 is 72477.8426290893
Scales and comparisons
How big is 380728837728000?- 380,728,837,728,000 seconds is equal to 12,105,999 years, 19 weeks, 1 day.
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To count from 1 to 380,728,837,728,000 would take you about thirty million, two hundred sixty-four thousand, nine 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 380728837728000 cubic inches would be around 6039.8 feet tall.
Recreational maths with 380728837728000
- 380728837728000 backwards is 000827738827083
- The number of decimal digits it has is: 15
- The sum of 380728837728000's digits is 63
- More coming soon!
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The information we have on file for 380728837728000 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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