135268224
135,268,224 is an even composite number composed of five prime numbers multiplied together.
135268224 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 135268224:
27 × 3 × 73 × 13 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 13 × 79)See below for interesting mathematical facts about the number 135268224 from the Numbermatics database.
Names of 135268224
- Cardinal: 135268224 can be written as One hundred thirty-five million, two hundred sixty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.35268224 × 108
Factors of 135268224
Divisors of 135268224
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 79 84 91 96 98 104 112 128 147 156 158 168 182 192 196 208 224 237 273 294 312 316 336 343 364 384 392 416 448 474 546 553 588 624 632 637 672 686 728 784 832 896 948 1027 1029 1092 1106 1176 1248 1264 1274 1344 1372 1456 1568 1659 1664 1896 1911 2054 2058 2184 2212 2352 2496 2528 2548 2688 2744 2912 3081 3136 3318 3792 3822 3871 4108 4116 4368 4424 4459 4704 4992 5056 5096 5488 5824 6162 6272 6636 7189 7584 7644 7742 8216 8232 8736 8848 8918 9408 10112 10192 10976 11613 11648 12324 13272 13377 14378 15168 15288 15484 16432 16464 17472 17696 17836 18816 20384 21567 21952 23226 24648 26544 26754 27097 28756 30336 30576 30968 32864 32928 34944 35392 35672 40768 43134 43904 46452 49296 50323 53088 53508 54194 57512 61152 61936 65728 65856 70784 71344 81291 81536 86268 92904 98592 100646 106176 107016 108388 115024 122304 123872 131456 131712 142688 150969 162582 172536 185808 197184 201292 212352 214032 216776 230048 244608 247744 285376 301938 325164 345072 352261 371616 394368 402584 428064 433552 460096 495488 570752 603876 650328 690144 704522 743232 805168 856128 867104 920192 1056783 1207752 1300656 1380288 1409044 1486464 1610336 1712256 1734208 2113566 2415504 2601312 2760576 2818088 3220672 3468416 4227132 4831008 5202624 5636176 6441344 8454264 9662016 10405248 11272352 16908528 19324032 22544704 33817056 45089408 67634112 135268224
- Sum of all divisors σ(n): 456960000
- Sum of proper divisors (its aliquot sum) s(n): 321691776
- 135268224 is an abundant number, because the sum of its proper divisors (321691776) is greater than itself. Its abundance is 186423552
Bases of 135268224
- Binary: 10000001000000000111100000002
- Hexadecimal: 0x8100780
- Base-36: 28J9MO
Squares and roots of 135268224
- 135268224 squared (1352682242) is 18297492424114176
- 135268224 cubed (1352682243) is 2475069303863379360743424
-
The
square root of 135268224 is 11630.4868341785 -
The
cube root of 135268224 is 513.3323048647
Scales and comparisons
How big is 135268224?- 135,268,224 seconds is equal to 4 years, 15 weeks, 4 days, 14 hours, 30 minutes, 24 seconds.
-
To count from 1 to 135,268,224 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 135268224 cubic inches would be around 42.8 feet tall.
Recreational maths with 135268224
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