12442345835617920
12,442,345,835,617,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 12442345835617920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 128 divisors.
12442345835617920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 12442345835617920:
27 × 3 × 5 × 491 × 13198347161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 491 × 13198347161)See below for interesting mathematical facts about the number 12442345835617920 from the Numbermatics database.
Names of 12442345835617920
- Cardinal: 12442345835617920 can be written as Twelve quadrillion, four hundred forty-two trillion, three hundred forty-five billion, eight hundred thirty-five million, six hundred seventeen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.244234583561792 × 1016
Factors of 12442345835617920
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 13198347662
Divisors of 12442345835617920
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 491 640 960 982 1473 1920 1964 2455 2946 3928 4910 5892 7365 7856 9820 11784 14730 15712 19640 23568 29460 31424 39280 47136 58920 62848 78560 94272 117840 157120 188544 235680 314240 471360 942720 13198347161 26396694322 39595041483 52793388644 65991735805 79190082966 105586777288 131983471610 158380165932 197975207415 211173554576 263966943220 316760331864 395950414830 422347109152 527933886440 633520663728 791900829660 844694218304 1055867772880 1267041327456 1583801659320 1689388436608 2111735545760 2534082654912 3167603318640 4223471091520 5068165309824 6335206637280 6480388456051 8446942183040 12670413274560 12960776912102 19441165368153 25340826549120 25921553824204 32401942280255 38882330736306 51843107648408 64803884560510 77764661472612 97205826840765 103686215296816 129607769121020 155529322945224 194411653681530 207372430593632 259215538242040 311058645890448 388823307363060 414744861187264 518431076484080 622117291780896 777646614726120 829489722374528 1036862152968160 1244234583561792 1555293229452240 2073724305936320 2488469167123584 3110586458904480 4147448611872640 6221172917808960 12442345835617920
- Sum of all divisors σ(n): 39740751238668480
- Sum of proper divisors (its aliquot sum) s(n): 27298405403050560
- 12442345835617920 is an abundant number, because the sum of its proper divisors (27298405403050560) is greater than itself. Its abundance is 14856059567432640
Bases of 12442345835617920
- Binary: 1011000011010000111111011000111011010001011110100000002
- Hexadecimal: 0x2C343F63B45E80
- Base-36: 3EIFYRMODXC
Squares and roots of 12442345835617920
- 12442345835617920 squared (124423458356179202) is 154811969893118595902108225126400
- 12442345835617920 cubed (124423458356179203) is 1926224068903450969320000185400536103014105088000
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The
square root of 12442345835617920 is 111545263.6180394707 -
The
cube root of 12442345835617920 is 231722.0824621351
Scales and comparisons
How big is 12442345835617920?- 12,442,345,835,617,920 seconds is equal to 395,628,110 years, 45 weeks, 1 day, 16 hours, 32 minutes.
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To count from 1 to 12,442,345,835,617,920 would take you about one billion, one hundred eighty-six million, eight hundred eighty-four thousand, three hundred thirty-two 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 12442345835617920 cubic inches would be around 19310.2 feet tall.
Recreational maths with 12442345835617920
- 12442345835617920 backwards is 02971653854324421
- The number of decimal digits it has is: 17
- The sum of 12442345835617920's digits is 66
- More coming soon!
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