134217216
134,217,216 is an even composite number composed of five prime numbers multiplied together.
134217216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 134217216:
29 × 33 × 7 × 19 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 19 × 73)See below for interesting mathematical facts about the number 134217216 from the Numbermatics database.
Names of 134217216
- Cardinal: 134217216 can be written as One hundred thirty-four million, two hundred seventeen thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.34217216 × 108
Factors of 134217216
Divisors of 134217216
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 73 76 84 96 108 112 114 126 128 133 144 146 152 168 171 189 192 216 219 224 228 252 256 266 288 292 304 336 342 378 384 399 432 438 448 456 504 511 512 513 532 576 584 608 657 672 684 756 768 798 864 876 896 912 1008 1022 1026 1064 1152 1168 1197 1216 1314 1344 1368 1387 1512 1533 1536 1596 1728 1752 1792 1824 1971 2016 2044 2052 2128 2304 2336 2394 2432 2628 2688 2736 2774 3024 3066 3192 3456 3504 3584 3591 3648 3942 4032 4088 4104 4161 4256 4599 4608 4672 4788 4864 5256 5376 5472 5548 6048 6132 6384 6912 7008 7182 7296 7884 8064 8176 8208 8322 8512 9198 9344 9576 9709 9728 10512 10752 10944 11096 12096 12264 12483 12768 13797 13824 14016 14364 14592 15768 16128 16352 16416 16644 17024 18396 18688 19152 19418 21024 21888 22192 24192 24528 24966 25536 27594 28032 28728 29127 29184 31536 32256 32704 32832 33288 34048 36792 37376 37449 38304 38836 42048 43776 44384 48384 49056 49932 51072 55188 56064 57456 58254 63072 65408 65664 66576 68096 73584 74898 76608 77672 84096 87381 87552 88768 96768 98112 99864 102144 110376 112128 114912 116508 126144 130816 131328 133152 147168 149796 153216 155344 168192 174762 177536 196224 199728 204288 220752 229824 233016 252288 261632 262143 262656 266304 294336 299592 306432 310688 336384 349524 355072 392448 399456 441504 459648 466032 504576 524286 532608 588672 599184 612864 621376 699048 710144 784896 798912 883008 919296 932064 1009152 1048572 1065216 1177344 1198368 1242752 1398096 1597824 1766016 1838592 1864128 2097144 2130432 2354688 2396736 2485504 2796192 3195648 3532032 3728256 4194288 4793472 4971008 5592384 6391296 7064064 7456512 8388576 9586944 11184768 14913024 16777152 19173888 22369536 33554304 44739072 67108608 134217216
- Sum of all divisors σ(n): 484492800
- Sum of proper divisors (its aliquot sum) s(n): 350275584
- 134217216 is an abundant number, because the sum of its proper divisors (350275584) is greater than itself. Its abundance is 216058368
Bases of 134217216
- Binary: 1111111111111111110000000002
- Hexadecimal: 0x7FFFE00
- Base-36: 27WQO0
Squares and roots of 134217216
- 134217216 squared (1342172162) is 18014261070790656
- 134217216 cubed (1342172163) is 2417823969218700767133696
-
The
square root of 134217216 is 11585.2154058525 -
The
cube root of 134217216 is 511.9993489575
Scales and comparisons
How big is 134217216?- 134,217,216 seconds is equal to 4 years, 13 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
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To count from 1 to 134,217,216 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 134217216 cubic inches would be around 42.7 feet tall.
Recreational maths with 134217216
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