104217120
104,217,120 is an even composite number composed of five prime numbers multiplied together.
104217120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 104217120:
25 × 32 × 5 × 73 × 211
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 211)See below for interesting mathematical facts about the number 104217120 from the Numbermatics database.
Names of 104217120
- Cardinal: 104217120 can be written as One hundred four million, two hundred seventeen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0421712 × 108
Factors of 104217120
Divisors of 104217120
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 196 210 211 224 240 245 252 280 288 294 315 336 343 360 392 420 422 441 480 490 504 560 588 630 633 672 686 720 735 784 840 844 882 980 1008 1029 1055 1120 1176 1260 1266 1372 1440 1470 1477 1568 1680 1688 1715 1764 1899 1960 2016 2058 2110 2205 2352 2520 2532 2744 2940 2954 3087 3165 3360 3376 3430 3528 3798 3920 4116 4220 4410 4431 4704 5040 5064 5145 5488 5880 5908 6174 6330 6752 6860 7056 7385 7596 7840 8232 8440 8820 8862 9495 10080 10128 10290 10339 10976 11760 11816 12348 12660 13293 13720 14112 14770 15192 15435 16464 16880 17640 17724 18990 20256 20580 20678 22155 23520 23632 24696 25320 26586 27440 29540 30384 30870 31017 32928 33760 35280 35448 37980 41160 41356 44310 47264 49392 50640 51695 53172 54880 59080 60768 61740 62034 66465 70560 70896 72373 75960 82320 82712 88620 93051 98784 101280 103390 106344 118160 123480 124068 132930 141792 144746 151920 155085 164640 165424 177240 186102 206780 212688 217119 236320 246960 248136 265860 289492 303840 310170 330848 354480 361865 372204 413560 425376 434238 465255 493920 496272 531720 578984 620340 651357 708960 723730 744408 827120 868476 930510 992544 1063440 1085595 1157968 1240680 1302714 1447460 1488816 1654240 1736952 1861020 2126880 2171190 2315936 2481360 2605428 2894920 2977632 3256785 3473904 3722040 4342380 4962720 5210856 5789840 6513570 6947808 7444080 8684760 10421712 11579680 13027140 14888160 17369520 20843424 26054280 34739040 52108560 104217120
- Sum of all divisors σ(n): 416707200
- Sum of proper divisors (its aliquot sum) s(n): 312490080
- 104217120 is an abundant number, because the sum of its proper divisors (312490080) is greater than itself. Its abundance is 208272960
Bases of 104217120
- Binary: 1100011011000111010001000002
- Hexadecimal: 0x6363A20
- Base-36: 1Q1QG0
Squares and roots of 104217120
- 104217120 squared (1042171202) is 10861208101094400
- 104217120 cubed (1042171203) is 1131923828016727216128000
-
The
square root of 104217120 is 10208.6786608257 -
The
cube root of 104217120 is 470.5939676263
Scales and comparisons
How big is 104217120?- 104,217,120 seconds is equal to 3 years, 16 weeks, 2 days, 5 hours, 12 minutes.
-
To count from 1 to 104,217,120 would take you about four 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 104217120 cubic inches would be around 39.2 feet tall.
Recreational maths with 104217120
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