106948516309440
106,948,516,309,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 106948516309440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
106948516309440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 106948516309440:
26 × 3 × 5 × 13 × 53323 × 160711
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 53323 × 160711)See below for interesting mathematical facts about the number 106948516309440 from the Numbermatics database.
Names of 106948516309440
- Cardinal: 106948516309440 can be written as One hundred six trillion, nine hundred forty-eight billion, five hundred sixteen million, three hundred nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.0694851630944 × 1014
Factors of 106948516309440
Divisors of 106948516309440
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 12480 53323 106646 159969 160711 213292 266615 319938 321422 426584 482133 533230 639876 642844 693199 799845 803555 853168 964266 1066460 1279752 1285688 1386398 1599690 1607110 1706336 1928532 2079597 2089243 2132920 2410665 2559504 2571376 2772796 3199380 3214220 3412672 3465995 3857064 4159194 4178486 4265840 4821330 5119008 5142752 5545592 6267729 6398760 6428440 6931990 7714128 8318388 8356972 8531680 9642660 10238016 10285504 10397985 10446215 11091184 12535458 12797520 12856880 13863980 15428256 16636776 16713944 17063360 19285320 20795970 20892430 22182368 25070916 25595040 25713760 27727960 30856512 31338645 33273552 33427888 38570640 41591940 41784860 44364736 50141832 51190080 51427520 55455920 62677290 66547104 66855776 77141280 83183880 83569720 100283664 110911840 125354580 133094208 133711552 154282560 166367760 167139440 200567328 221823680 250709160 332735520 334278880 401134656 501418320 665471040 668557760 1002836640 2005673280 8569592653 17139185306 25708777959 34278370612 42847963265 51417555918 68556741224 85695926530 102835111836 111404704489 128543889795 137113482448 171391853060 205670223672 222809408978 257087779590 274226964896 334214113467 342783706120 411340447344 445618817956 514175559180 548453929792 557023522445 668428226934 685567412240 822680894688 891237635912 1028351118360 1114047044890 1336856453868 1371134824480 1645361789376 1671070567335 1782475271824 2056702236720 2228094089780 2673712907736 2742269648960 3342141134670 3564950543648 4113404473440 4456188179560 5347425815472 6684282269340 7129901087296 8226808946880 8912376359120 10694851630944 13368564538680 17824752718240 21389703261888 26737129077360 35649505436480 53474258154720 106948516309440
- Sum of all divisors σ(n): 365690790990336
- Sum of proper divisors (its aliquot sum) s(n): 258742274680896
- 106948516309440 is an abundant number, because the sum of its proper divisors (258742274680896) is greater than itself. Its abundance is 151793758371456
Bases of 106948516309440
- Binary: 110000101000100111001000101001011101001110000002
- Hexadecimal: 0x6144E452E9C0
- Base-36: 11WRGXA56O
Squares and roots of 106948516309440
- 106948516309440 squared (1069485163094402) is 11437985140790553677833113600
- 106948516309440 cubed (1069485163094403) is 1223275540376970904628822525248096272384000
-
The
square root of 106948516309440 is 10341591.5752576497 -
The
cube root of 106948516309440 is 47466.9785353287
Scales and comparisons
How big is 106948516309440?- 106,948,516,309,440 seconds is equal to 3,400,632 years, 1 day, 21 hours, 4 minutes.
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To count from 1 to 106,948,516,309,440 would take you about eight million, five hundred one thousand, five hundred eighty 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 106948516309440 cubic inches would be around 3955.6 feet tall.
Recreational maths with 106948516309440
- 106948516309440 backwards is 044903615849601
- 106948516309440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106948516309440's digits is 60
- More coming soon!
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The information we have on file for 106948516309440 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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