134217720
134,217,720 is an even composite number composed of seven prime numbers multiplied together.
134217720 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 134217720:
23 × 32 × 5 × 7 × 13 × 17 × 241
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 13 × 17 × 241)See below for interesting mathematical facts about the number 134217720 from the Numbermatics database.
Names of 134217720
- Cardinal: 134217720 can be written as One hundred thirty-four million, two hundred seventeen thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3421772 × 108
Factors of 134217720
Divisors of 134217720
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 17 18 20 21 24 26 28 30 34 35 36 39 40 42 45 51 52 56 60 63 65 68 70 72 78 84 85 90 91 102 104 105 117 119 120 126 130 136 140 153 156 168 170 180 182 195 204 210 221 234 238 241 252 255 260 273 280 306 312 315 340 357 360 364 390 408 420 442 455 468 476 482 504 510 520 546 585 595 612 630 663 680 714 723 728 765 780 819 840 884 910 936 952 964 1020 1071 1092 1105 1170 1190 1205 1224 1260 1326 1365 1428 1446 1530 1547 1560 1638 1687 1768 1785 1820 1928 1989 2040 2142 2169 2184 2210 2340 2380 2410 2520 2652 2730 2856 2892 3060 3094 3133 3276 3315 3374 3570 3615 3640 3978 4095 4097 4284 4338 4420 4641 4680 4760 4820 5061 5304 5355 5460 5784 6120 6188 6266 6552 6630 6748 7140 7230 7735 7956 8190 8194 8435 8568 8676 8840 9282 9399 9640 9945 10122 10710 10845 10920 12291 12376 12532 13260 13496 13923 14280 14460 15183 15470 15665 15912 16380 16388 16870 17352 18564 18798 19890 20244 20485 21420 21690 21931 23205 24582 25064 25305 26520 27846 28197 28679 28920 30366 30940 31330 32760 32776 33740 36873 37128 37596 39780 40488 40970 42840 43380 43862 46410 46995 49164 50610 53261 55692 56394 57358 60732 61455 61880 62660 65793 67480 69615 73746 75192 75915 79560 81940 86037 86760 87724 92820 93990 98328 101220 106522 109655 111384 112788 114716 121464 122910 125320 131586 139230 140985 143395 147492 151830 159783 163880 172074 175448 184365 185640 187980 197379 202440 213044 219310 225576 229432 245820 258111 263172 266305 278460 281970 286790 294984 303660 319566 328965 344148 368730 372827 375960 394758 426088 430185 438620 479349 491640 516222 526344 532610 556920 563940 573580 607320 639132 657930 688296 737460 745654 789516 798915 860370 877240 958698 986895 1032444 1065220 1118481 1127880 1147160 1278264 1290555 1315860 1474920 1491308 1579032 1597830 1720740 1864135 1917396 1973790 2064888 2130440 2236962 2396745 2581110 2631720 2982616 3195660 3355443 3441480 3728270 3834792 3947580 4473924 4793490 5162220 5592405 6391320 6710886 7456540 7895160 8947848 9586980 10324440 11184810 13421772 14913080 16777215 19173960 22369620 26843544 33554430 44739240 67108860 134217720
- Sum of all divisors σ(n): 570810240
- Sum of proper divisors (its aliquot sum) s(n): 436592520
- 134217720 is an abundant number, because the sum of its proper divisors (436592520) is greater than itself. Its abundance is 302374800
Bases of 134217720
- Binary: 1111111111111111111111110002
- Hexadecimal: 0x7FFFFF8
- Base-36: 27WR20
Squares and roots of 134217720
- 134217720 squared (1342177202) is 18014396361998400
- 134217720 cubed (1342177203) is 2417851206883719891648000
-
The
square root of 134217720 is 11585.2371576935 -
The
cube root of 134217720 is 511.9999898275
Scales and comparisons
How big is 134217720?- 134,217,720 seconds is equal to 4 years, 13 weeks, 6 days, 10 hours, 42 minutes.
-
To count from 1 to 134,217,720 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 134217720 cubic inches would be around 42.7 feet tall.
Recreational maths with 134217720
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