146048131947800
146,048,131,947,800 is an even composite number composed of four prime numbers multiplied together.
146048131947800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 146048131947800:
23 × 52 × 372 × 8113
(2 × 2 × 2 × 5 × 5 × 37 × 37 × 811 × 811 × 811)See below for interesting mathematical facts about the number 146048131947800 from the Numbermatics database.
Names of 146048131947800
- Cardinal: 146048131947800 can be written as One hundred forty-six trillion, forty-eight billion, one hundred thirty-one million, nine hundred forty-seven thousand, eight hundred.
Scientific notation
- Scientific notation: 1.460481319478 × 1014
Factors of 146048131947800
Divisors of 146048131947800
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 811 925 1369 1480 1622 1850 2738 3244 3700 4055 5476 6488 6845 7400 8110 10952 13690 16220 20275 27380 30007 32440 34225 40550 54760 60014 68450 81100 120028 136900 150035 162200 240056 273800 300070 600140 657721 750175 1110259 1200280 1315442 1500350 2220518 2630884 3000700 3288605 4441036 5261768 5551295 6001400 6577210 8882072 11102590 13154420 16443025 22205180 24335677 26308840 27756475 32886050 44410360 48671354 55512950 65772100 97342708 111025900 121678385 131544200 194685416 222051800 243356770 486713540 533411731 608391925 900420049 973427080 1066823462 1216783850 1800840098 2133646924 2433567700 2667058655 3601680196 4267293848 4502100245 4867135400 5334117310 7203360392 9004200490 10668234620 13335293275 18008400980 19736234047 21336469240 22510501225 26670586550 36016801960 39472468094 45021002450 53341173100 78944936188 90042004900 98681170235 106682346200 157889872376 180084009800 197362340470 394724680940 493405851175 730240659739 789449361880 986811702350 1460481319478 1973623404700 2920962638956 3651203298695 3947246809400 5841925277912 7302406597390 14604813194780 18256016493475 29209626389560 36512032986950 73024065973900 146048131947800
- Sum of all divisors σ(n): 349418140573320
- Sum of proper divisors (its aliquot sum) s(n): 203370008625520
- 146048131947800 is an abundant number, because the sum of its proper divisors (203370008625520) is greater than itself. Its abundance is 57321876677720
Bases of 146048131947800
- Binary: 1000010011010100011110110000011001011101000110002
- Hexadecimal: 0x84D47B065D18
- Base-36: 1FRPL2WS9K
Squares and roots of 146048131947800
- 146048131947800 squared (1460481319478002) is 21330056845441999021924840000
- 146048131947800 cubed (1460481319478003) is 3115214956617187704165877577454403352000000
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The
square root of 146048131947800 is 12085037.5236405451 -
The
cube root of 146048131947800 is 52662.1600702929
Scales and comparisons
How big is 146048131947800?- 146,048,131,947,800 seconds is equal to 4,643,878 years, 43 weeks, 4 days, 13 hours, 3 minutes, 20 seconds.
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To count from 1 to 146,048,131,947,800 would take you about eleven million, six hundred nine thousand, six hundred ninety-seven 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 146048131947800 cubic inches would be around 4388.5 feet tall.
Recreational maths with 146048131947800
- 146048131947800 backwards is 008749131840641
- The number of decimal digits it has is: 15
- The sum of 146048131947800's digits is 56
- More coming soon!
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