134671680
134,671,680 is an even composite number composed of six prime numbers multiplied together.
134671680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 134671680:
26 × 33 × 5 × 11 × 13 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 13 × 109)See below for interesting mathematical facts about the number 134671680 from the Numbermatics database.
Names of 134671680
- Cardinal: 134671680 can be written as One hundred thirty-four million, six hundred seventy-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3467168 × 108
Factors of 134671680
Divisors of 134671680
- Number of divisors d(n): 448
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 27 30 32 33 36 39 40 44 45 48 52 54 55 60 64 65 66 72 78 80 88 90 96 99 104 108 109 110 117 120 130 132 135 143 144 156 160 165 176 180 192 195 198 208 216 218 220 234 240 260 264 270 286 288 297 312 320 327 330 351 352 360 390 396 416 429 432 436 440 468 480 495 520 528 540 545 572 576 585 594 624 654 660 702 704 715 720 780 792 832 858 864 872 880 936 960 981 990 1040 1056 1080 1090 1144 1170 1188 1199 1248 1287 1308 1320 1404 1417 1430 1440 1485 1560 1584 1635 1716 1728 1744 1755 1760 1872 1962 1980 2080 2112 2145 2160 2180 2288 2340 2376 2398 2496 2574 2616 2640 2808 2834 2860 2880 2943 2970 3120 3168 3270 3432 3488 3510 3520 3597 3744 3861 3924 3960 4160 4251 4290 4320 4360 4576 4680 4752 4796 4905 5148 5232 5280 5616 5668 5720 5886 5940 5995 6240 6336 6435 6540 6864 6976 7020 7085 7194 7488 7722 7848 7920 8502 8580 8640 8720 9152 9360 9504 9592 9810 10296 10464 10560 10791 11232 11336 11440 11772 11880 11990 12480 12753 12870 13080 13728 14040 14170 14388 14715 15444 15587 15696 15840 17004 17160 17440 17985 18720 19008 19184 19305 19620 20592 20928 21255 21582 22464 22672 22880 23544 23760 23980 25506 25740 26160 27456 28080 28340 28776 29430 30888 31174 31392 31680 32373 34008 34320 34880 35970 37440 38259 38368 38610 39240 41184 42510 43164 45344 45760 46761 47088 47520 47960 51012 51480 52320 53955 56160 56680 57552 58860 61776 62348 62784 63765 64746 68016 68640 71940 76518 76736 77220 77935 78480 82368 85020 86328 90688 93522 94176 95040 95920 102024 102960 104640 107910 112320 113360 115104 117720 123552 124696 127530 129492 136032 137280 140283 143880 153036 154440 155870 156960 161865 170040 172656 187044 188352 191295 191840 204048 205920 215820 226720 230208 233805 235440 247104 249392 255060 258984 272064 280566 287760 306072 308880 311740 313920 323730 340080 345312 374088 382590 383680 408096 411840 420849 431640 453440 467610 470880 498784 510120 517968 561132 575520 612144 617760 623480 647460 680160 690624 701415 748176 765180 816192 841698 863280 935220 941760 997568 1020240 1035936 1122264 1151040 1224288 1235520 1246960 1294920 1360320 1402830 1496352 1530360 1683396 1726560 1870440 2040480 2071872 2104245 2244528 2448576 2493920 2589840 2805660 2992704 3060720 3366792 3453120 3740880 4080960 4208490 4489056 4987840 5179680 5611320 6121440 6733584 7481760 8416980 8978112 10359360 11222640 12242880 13467168 14963520 16833960 22445280 26934336 33667920 44890560 67335840 134671680
- Sum of all divisors σ(n): 563270400
- Sum of proper divisors (its aliquot sum) s(n): 428598720
- 134671680 is an abundant number, because the sum of its proper divisors (428598720) is greater than itself. Its abundance is 293927040
Bases of 134671680
- Binary: 10000000011011101101010000002
- Hexadecimal: 0x806ED40
- Base-36: 286HC0
Squares and roots of 134671680
- 134671680 squared (1346716802) is 18136461394022400
- 134671680 cubed (1346716803) is 2442467725188138565632000
-
The
square root of 134671680 is 11604.8127946987 -
The
cube root of 134671680 is 512.5765802677
Scales and comparisons
How big is 134671680?- 134,671,680 seconds is equal to 4 years, 14 weeks, 4 days, 16 hours, 48 minutes.
-
To count from 1 to 134,671,680 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 134671680 cubic inches would be around 42.7 feet tall.
Recreational maths with 134671680
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