146113093728000
146,113,093,728,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 146113093728000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2304 divisors.
146113093728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 146113093728000:
28 × 33 × 53 × 73 × 793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 79 × 79 × 79)See below for interesting mathematical facts about the number 146113093728000 from the Numbermatics database.
Names of 146113093728000
- Cardinal: 146113093728000 can be written as One hundred forty-six trillion, one hundred thirteen billion, ninety-three million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.46113093728 × 1014
Factors of 146113093728000
Divisors of 146113093728000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 79 80 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 158 160 168 175 180 189 192 196 200 210 216 224 225 237 240 245 250 252 256 270 280 288 294 300 315 316 320 336 343 350 360 375 378 384 392 395 400 420 432 441 448 450 474 480 490 500 504 525 540 553 560 576 588 600 630 632 640 672 675 686 700 711 720 735 750 756 768 784 790 800 840 864 875 882 896 900 945 948 960 980 1000 1008 1029 1050 1080 1106 1120 1125 1152 1176 1185 1200 1225 1260 1264 1280 1323 1344 1350 1372 1400 1422 1440 1470 1500 1512 1568 1575 1580 1600 1659 1680 1715 1728 1750 1764 1792 1800 1890 1896 1920 1960 1975 2000 2016 2058 2100 2133 2160 2205 2212 2240 2250 2304 2352 2370 2400 2450 2520 2528 2625 2646 2688 2700 2744 2765 2800 2844 2880 2940 3000 3024 3087 3136 3150 3160 3200 3318 3360 3375 3430 3456 3500 3528 3555 3600 3675 3780 3792 3840 3871 3920 3950 4000 4032 4116 4200 4266 4320 4410 4424 4480 4500 4704 4725 4740 4800 4900 4977 5040 5056 5145 5250 5292 5376 5400 5488 5530 5600 5688 5760 5880 5925 6000 6048 6125 6174 6241 6272 6300 6320 6400 6615 6636 6720 6750 6860 6912 7000 7056 7110 7200 7350 7560 7584 7742 7840 7875 7900 8000 8064 8232 8295 8400 8532 8575 8640 8820 8848 8960 9000 9261 9408 9450 9480 9600 9800 9875 9954 10080 10112 10290 10500 10584 10665 10800 10976 11025 11060 11200 11376 11520 11613 11760 11850 12000 12096 12250 12348 12482 12544 12600 12640 13230 13272 13440 13500 13720 13825 14000 14112 14220 14400 14700 14931 15120 15168 15435 15484 15680 15750 15800 16000 16128 16464 16590 16800 17064 17150 17280 17640 17696 17775 18000 18375 18522 18723 18816 18900 18960 19200 19355 19600 19750 19908 20160 20224 20580 21000 21168 21330 21600 21952 22050 22120 22400 22752 23226 23520 23625 23700 24000 24192 24500 24696 24885 24964 25200 25280 25725 26460 26544 26880 27000 27097 27440 27650 28000 28224 28440 28800 29400 29625 29862 30240 30336 30870 30968 31205 31360 31500 31600 32000 32928 33075 33180 33600 34128 34300 34560 34839 35280 35392 35550 36000 36750 37044 37446 37632 37800 37920 38710 39200 39500 39816 40320 41160 41475 42000 42336 42660 42875 43200 43687 43904 44100 44240 44800 45504 46305 46452 47040 47250 47400 48000 48384 49000 49392 49770 49928 50400 50560 51450 52920 53088 53325 54000 54194 54880 55125 55300 56000 56169 56448 56880 57600 58065 58800 59250 59724 60480 60672 61740 61936 62410 62720 63000 63200 65856 66150 66360 67200 68256 68600 69125 69678 70560 70784 71100 72000 73500 74088 74655 74892 75600 75840 77175 77420 78400 79000 79632 80640 81291 82320 82950 84000 84672 85320 85750 86400 87374 87808 88200 88480 88875 91008 92610 92904 93615 94080 94500 94800 96000 96775 98000 98784 99540 99856 100800 101120 102900 104517 105840 106176 106650 108000 108388 109760 110250 110600 112000 112338 112896 113760 116130 117600 118500 119448 120960 123480 123872 124425 124820 126000 126400 128625 131061 131712 132300 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1014674262000 1043664955200 1082319212800 1141508544750 1159627728000 1168904749824 1217609114400 1304581194000 1352899016000 1391553273600 1461130937280 1490949936000 1522011393000 1623478819200 1739441592000 1826413671600 1849532832000 1948174583040 2029348524000 2087329910400 2283017089500 2319255456000 2435218228800 2609162388000 2705798032000 2922261874560 2981899872000 3044022786000 3246957638400 3478883184000 3652827343200 4058697048000 4174659820800 4566034179000 4870436457600 5218324776000 5411596064000 5844523749120 6088045572000 6957766368000 7305654686400 8117394096000 9132068358000 9740872915200 10436649552000 12176091144000 14611309372800 16234788192000 18264136716000 20873299104000 24352182288000 29222618745600 36528273432000 48704364576000 73056546864000 146113093728000
- Sum of all divisors σ(n): 636911708160000
- Sum of proper divisors (its aliquot sum) s(n): 490798614432000
- 146113093728000 is an abundant number, because the sum of its proper divisors (490798614432000) is greater than itself. Its abundance is 344685520704000
Bases of 146113093728000
- Binary: 1000010011100011100110110000110001110111000000002
- Hexadecimal: 0x84E39B0C7700
- Base-36: 1FSJFFH6O0
Squares and roots of 146113093728000
- 146113093728000 squared (1461130937280002) is 21349036158767312937984000000
- 146113093728000 cubed (1461130937280003) is 3119373721268429484250363243364352000000000
-
The
square root of 146113093728000 is 12087724.9194379003 -
The
cube root of 146113093728000 is 52669.9669043047
Scales and comparisons
How big is 146113093728000?- 146,113,093,728,000 seconds is equal to 4,645,944 years, 22 weeks.
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To count from 1 to 146,113,093,728,000 would take you about eleven million, six hundred fourteen thousand, eight hundred sixty-one 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 146113093728000 cubic inches would be around 4389.2 feet tall.
Recreational maths with 146113093728000
- 146113093728000 backwards is 000827390311641
- 146113093728000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 146113093728000's digits is 45
- More coming soon!
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The information we have on file for 146113093728000 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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