13812120
13,812,120 is an even composite number composed of five prime numbers multiplied together.
13812120 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 13812120:
23 × 35 × 5 × 72 × 29
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 29)See below for interesting mathematical facts about the number 13812120 from the Numbermatics database.
Names of 13812120
- Cardinal: 13812120 can be written as Thirteen million, eight hundred twelve thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.381212 × 107
Factors of 13812120
Divisors of 13812120
- 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 18 20 21 24 27 28 29 30 35 36 40 42 45 49 54 56 58 60 63 70 72 81 84 87 90 98 105 108 116 120 126 135 140 145 147 162 168 174 180 189 196 203 210 216 232 243 245 252 261 270 280 290 294 315 324 348 360 378 392 405 406 420 435 441 486 490 504 522 540 567 580 588 609 630 648 696 735 756 783 810 812 840 870 882 945 972 980 1015 1044 1080 1134 1160 1176 1215 1218 1260 1305 1323 1421 1470 1512 1566 1620 1624 1701 1740 1764 1827 1890 1944 1960 2030 2088 2205 2268 2349 2430 2436 2520 2610 2646 2835 2842 2940 3045 3132 3240 3402 3480 3528 3654 3780 3915 3969 4060 4263 4410 4536 4698 4860 4872 5220 5292 5481 5670 5684 5880 6090 6264 6615 6804 7047 7105 7308 7560 7830 7938 8120 8505 8526 8820 9135 9396 9720 10440 10584 10962 11340 11368 11745 11907 12180 12789 13230 13608 14094 14210 14616 15660 15876 16443 17010 17052 17640 18270 18792 19845 21315 21924 22680 23490 23814 24360 25578 26460 27405 28188 28420 31320 31752 32886 34020 34104 35235 36540 38367 39690 42630 43848 46980 47628 49329 51156 52920 54810 56376 56840 59535 63945 65772 68040 70470 73080 76734 79380 82215 85260 93960 95256 98658 102312 109620 115101 119070 127890 131544 140940 153468 158760 164430 170520 191835 197316 219240 230202 238140 246645 255780 281880 306936 328860 345303 383670 394632 460404 476280 493290 511560 575505 657720 690606 767340 920808 986580 1151010 1381212 1534680 1726515 1973160 2302020 2762424 3453030 4604040 6906060 13812120
- Sum of all divisors σ(n): 56019600
- Sum of proper divisors (its aliquot sum) s(n): 42207480
- 13812120 is an abundant number, because the sum of its proper divisors (42207480) is greater than itself. Its abundance is 28395360
Bases of 13812120
- Binary: 1101001011000001100110002
- Hexadecimal: 0xD2C198
- Base-36: 881I0
Squares and roots of 13812120
- 13812120 squared (138121202) is 190774658894400
- 13812120 cubed (138121203) is 2635002481608520128000
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The
square root of 13812120 is 3716.4660633457 -
The
cube root of 13812120 is 239.9312302965
Scales and comparisons
How big is 13812120?- 13,812,120 seconds is equal to 22 weeks, 5 days, 20 hours, 42 minutes.
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To count from 1 to 13,812,120 would take you about thirty-four weeks!
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 13812120 cubic inches would be around 20 feet tall.
Recreational maths with 13812120
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The information we have on file for 13812120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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