135351216
135,351,216 is an even composite number composed of six prime numbers multiplied together.
135351216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 135351216:
24 × 33 × 7 × 11 × 13 × 313
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 13 × 313)See below for interesting mathematical facts about the number 135351216 from the Numbermatics database.
Names of 135351216
- Cardinal: 135351216 can be written as One hundred thirty-five million, three hundred fifty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.35351216 × 108
Factors of 135351216
Divisors of 135351216
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 27 28 33 36 39 42 44 48 52 54 56 63 66 72 77 78 84 88 91 99 104 108 112 117 126 132 143 144 154 156 168 176 182 189 198 208 216 231 234 252 264 273 286 297 308 312 313 336 351 364 378 396 429 432 462 468 504 528 546 572 594 616 624 626 693 702 728 756 792 819 858 924 936 939 1001 1008 1092 1144 1188 1232 1252 1287 1386 1404 1456 1512 1584 1638 1716 1848 1872 1878 2002 2079 2184 2191 2288 2376 2457 2504 2574 2772 2808 2817 3003 3024 3276 3432 3443 3696 3756 3861 4004 4069 4158 4368 4382 4752 4914 5008 5148 5544 5616 5634 6006 6552 6573 6864 6886 7512 7722 8008 8138 8316 8451 8764 9009 9828 10296 10329 11088 11268 12012 12207 13104 13146 13772 15024 15444 16016 16276 16632 16902 17528 18018 19656 19719 20592 20658 22536 24024 24101 24414 26292 27027 27544 28483 30888 30987 32552 33264 33804 35056 36036 36621 39312 39438 41316 44759 45072 48048 48202 48828 52584 54054 55088 56966 59157 61776 61974 65104 67608 72072 72303 73242 78876 82632 85449 89518 92961 96404 97656 105168 108108 109863 113932 118314 123948 134277 135216 144144 144606 146484 157752 165264 170898 179036 185922 192808 195312 216216 216909 219726 227864 236628 247896 256347 268554 289212 292968 313313 315504 341796 358072 371844 385616 402831 432432 433818 439452 455728 473256 495792 512694 537108 578424 585936 626626 650727 683592 716144 743688 769041 805662 867636 878904 939939 946512 1025388 1074216 1156848 1208493 1253252 1301454 1367184 1487376 1538082 1611324 1735272 1757808 1879878 2050776 2148432 2416986 2506504 2602908 2819817 3076164 3222648 3470544 3759756 4101552 4833972 5013008 5205816 5639634 6152328 6445296 7519512 8459451 9667944 10411632 11279268 12304656 15039024 16918902 19335888 22558536 33837804 45117072 67675608 135351216
- Sum of all divisors σ(n): 523299840
- Sum of proper divisors (its aliquot sum) s(n): 387948624
- 135351216 is an abundant number, because the sum of its proper divisors (387948624) is greater than itself. Its abundance is 252597408
Bases of 135351216
- Binary: 10000001000101001011101100002
- Hexadecimal: 0x8114BB0
- Base-36: 28L1O0
Squares and roots of 135351216
- 135351216 squared (1353512162) is 18319951672678656
- 135351216 cubed (1353512163) is 2479627735958290066845696
-
The
square root of 135351216 is 11634.0541514985 -
The
cube root of 135351216 is 513.4372661129
Scales and comparisons
How big is 135351216?- 135,351,216 seconds is equal to 4 years, 15 weeks, 5 days, 13 hours, 33 minutes, 36 seconds.
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To count from 1 to 135,351,216 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 135351216 cubic inches would be around 42.8 feet tall.
Recreational maths with 135351216
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