135768220
135,768,220 is an even composite number composed of six prime numbers multiplied together.
135768220 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 135768220:
22 × 5 × 72 × 31 × 41 × 109
(2 × 2 × 5 × 7 × 7 × 31 × 41 × 109)See below for interesting mathematical facts about the number 135768220 from the Numbermatics database.
Names of 135768220
- Cardinal: 135768220 can be written as One hundred thirty-five million, seven hundred sixty-eight thousand, two hundred twenty.
Scientific notation
- Scientific notation: 1.3576822 × 108
Factors of 135768220
Divisors of 135768220
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 10 14 20 28 31 35 41 49 62 70 82 98 109 124 140 155 164 196 205 217 218 245 287 310 410 434 436 490 545 574 620 763 820 868 980 1085 1090 1148 1271 1435 1519 1526 2009 2170 2180 2542 2870 3038 3052 3379 3815 4018 4340 4469 5084 5341 5740 6076 6355 6758 7595 7630 8036 8897 8938 10045 10682 12710 13516 15190 15260 16895 17794 17876 20090 21364 22345 23653 25420 26705 30380 31283 33790 35588 40180 44485 44690 47306 53410 62279 62566 67580 88970 89380 94612 106820 118265 124558 125132 138539 156415 165571 177940 218981 236530 249116 277078 311395 312830 331142 437962 473060 554156 622790 625660 662284 692695 827855 875924 969773 1094905 1245580 1385390 1655710 1939546 2189810 2770780 3311420 3879092 4379620 4848865 6788411 9697730 13576822 19395460 27153644 33942055 67884110 135768220
- Sum of all divisors σ(n): 353928960
- Sum of proper divisors (its aliquot sum) s(n): 218160740
- 135768220 is an abundant number, because the sum of its proper divisors (218160740) is greater than itself. Its abundance is 82392520
Bases of 135768220
- Binary: 10000001011110101000100111002
- Hexadecimal: 0x817A89C
- Base-36: 28TZFG
Squares and roots of 135768220
- 135768220 squared (1357682202) is 18433009561968400
- 135768220 cubed (1357682203) is 2502616897471429364248000
-
The
square root of 135768220 is 11651.9620665363 -
The
cube root of 135768220 is 513.9640090471
Scales and comparisons
How big is 135768220?- 135,768,220 seconds is equal to 4 years, 16 weeks, 3 days, 9 hours, 23 minutes, 40 seconds.
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To count from 1 to 135,768,220 would take you about six 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 135768220 cubic inches would be around 42.8 feet tall.
Recreational maths with 135768220
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