134198064
134,198,064 is an even composite number composed of six prime numbers multiplied together.
134198064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 134198064:
24 × 32 × 73 × 11 × 13 × 19
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 11 × 13 × 19)See below for interesting mathematical facts about the number 134198064 from the Numbermatics database.
Names of 134198064
- Cardinal: 134198064 can be written as One hundred thirty-four million, one hundred ninety-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 1.34198064 × 108
Factors of 134198064
Divisors of 134198064
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 19 21 22 24 26 28 33 36 38 39 42 44 48 49 52 56 57 63 66 72 76 77 78 84 88 91 98 99 104 112 114 117 126 132 133 143 144 147 152 154 156 168 171 176 182 196 198 208 209 228 231 234 247 252 264 266 273 286 294 304 308 312 336 342 343 364 392 396 399 418 429 441 456 462 468 494 504 528 532 539 546 572 588 616 624 627 637 684 686 693 728 741 784 792 798 819 836 858 882 912 924 931 936 988 1001 1008 1029 1064 1078 1092 1144 1176 1197 1232 1254 1274 1287 1368 1372 1386 1456 1463 1482 1584 1596 1617 1638 1672 1716 1729 1764 1848 1862 1872 1881 1911 1976 2002 2058 2128 2156 2184 2223 2288 2352 2394 2508 2548 2574 2717 2736 2744 2772 2793 2926 2964 3003 3087 3192 3234 3276 3344 3432 3458 3528 3696 3724 3762 3773 3822 3952 4004 4116 4312 4368 4389 4446 4459 4788 4851 5016 5096 5148 5187 5434 5488 5544 5586 5733 5852 5928 6006 6174 6384 6468 6517 6552 6864 6916 7007 7056 7448 7524 7546 7644 8008 8151 8232 8379 8624 8778 8892 8918 9009 9576 9702 10032 10192 10241 10296 10374 10868 11088 11172 11319 11466 11704 11856 12012 12103 12348 12936 13034 13104 13167 13377 13832 14014 14896 15048 15092 15288 15561 16016 16302 16464 16758 17556 17784 17836 18018 19019 19152 19404 19551 20482 20592 20748 21021 21736 22344 22638 22932 23408 24024 24206 24453 24696 25872 26068 26334 26754 27664 28028 30096 30184 30576 30723 31122 32604 33516 33957 35112 35568 35672 36036 36309 38038 38808 39102 40131 40964 41496 42042 43472 44688 45276 45864 48048 48412 48906 49049 49392 52136 52668 53508 56056 57057 58653 60368 61446 62244 63063 65208 67032 67914 70224 71344 71687 72072 72618 76076 77616 78204 80262 81928 82992 84084 84721 90552 91728 92169 96824 97812 98098 104272 105336 107016 108927 112112 114114 117306 122892 124488 126126 130416 133133 134064 135828 143374 144144 145236 147147 152152 156408 160524 163856 168168 169442 171171 181104 184338 193648 195624 196196 210672 214032 215061 217854 228228 234612 245784 248976 252252 254163 266266 271656 286748 290472 294294 304304 312816 321048 336336 338884 342342 368676 391248 392392 399399 430122 435708 441441 456456 469224 491568 504504 508326 532532 543312 573496 580944 588588 642096 645183 677768 684684 737352 762489 784784 798798 860244 871416 882882 912912 931931 938448 1009008 1016652 1065064 1146992 1177176 1198197 1290366 1355536 1369368 1474704 1524978 1597596 1720488 1742832 1765764 1863862 2033304 2130128 2354352 2396394 2580732 2738736 2795793 3049956 3195192 3440976 3531528 3727724 4066608 4792788 5161464 5591586 6099912 6390384 7063056 7455448 8387379 9585576 10322928 11183172 12199824 14910896 16774758 19171152 22366344 33549516 44732688 67099032 134198064
- Sum of all divisors σ(n): 541632000
- Sum of proper divisors (its aliquot sum) s(n): 407433936
- 134198064 is an abundant number, because the sum of its proper divisors (407433936) is greater than itself. Its abundance is 273235872
Bases of 134198064
- Binary: 1111111111110110011001100002
- Hexadecimal: 0x7FFB330
- Base-36: 27WBW0
Squares and roots of 134198064
- 134198064 squared (1341980642) is 18009120381348096
- 134198064 cubed (1341980643) is 2416789089519856193286144
-
The
square root of 134198064 is 11584.3888056297 -
The
cube root of 134198064 is 511.9749947097
Scales and comparisons
How big is 134198064?- 134,198,064 seconds is equal to 4 years, 13 weeks, 6 days, 5 hours, 14 minutes, 24 seconds.
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To count from 1 to 134,198,064 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 134198064 cubic inches would be around 42.7 feet tall.
Recreational maths with 134198064
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