13419120
13,419,120 is an even composite number composed of seven prime numbers multiplied together.
13419120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 13419120:
24 × 3 × 5 × 11 × 13 × 17 × 23
(2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 17 × 23)See below for interesting mathematical facts about the number 13419120 from the Numbermatics database.
Names of 13419120
- Cardinal: 13419120 can be written as Thirteen million, four hundred nineteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.341912 × 107
Factors of 13419120
Divisors of 13419120
- Number of divisors d(n): 320
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 17 20 22 23 24 26 30 33 34 39 40 44 46 48 51 52 55 60 65 66 68 69 78 80 85 88 92 102 104 110 115 120 130 132 136 138 143 156 165 170 176 184 187 195 204 208 220 221 230 240 253 255 260 264 272 276 286 299 312 330 340 345 368 374 390 391 408 429 440 442 460 506 510 520 528 552 561 572 598 624 660 663 680 690 715 748 759 780 782 816 858 880 884 897 920 935 1012 1020 1040 1104 1105 1122 1144 1173 1196 1265 1320 1326 1360 1380 1430 1495 1496 1518 1560 1564 1716 1768 1794 1840 1870 1955 2024 2040 2145 2210 2244 2288 2346 2392 2431 2530 2640 2652 2760 2805 2860 2990 2992 3036 3120 3128 3289 3315 3432 3536 3588 3740 3795 3910 4048 4080 4290 4301 4420 4485 4488 4692 4784 4862 5060 5083 5304 5520 5610 5720 5865 5980 6072 6256 6578 6630 6864 7176 7293 7480 7590 7820 8580 8602 8840 8970 8976 9384 9724 9867 10120 10166 10608 11220 11440 11730 11960 12144 12155 12903 13156 13260 14352 14586 14960 15180 15249 15640 16445 17160 17204 17680 17940 18768 19448 19734 20240 20332 21505 22440 23460 23920 24310 25415 25806 26312 26520 29172 30360 30498 31280 32890 34320 34408 35880 36465 38896 39468 40664 43010 44880 46920 48620 49335 50830 51612 52624 53040 55913 58344 60720 60996 64515 65780 68816 71760 72930 76245 78936 81328 86020 93840 97240 98670 101660 103224 111826 116688 121992 129030 131560 145860 152490 157872 167739 172040 194480 197340 203320 206448 223652 243984 258060 263120 279565 291720 304980 335478 344080 394680 406640 447304 516120 559130 583440 609960 670956 789360 838695 894608 1032240 1118260 1219920 1341912 1677390 2236520 2683824 3354780 4473040 6709560 13419120
- Sum of all divisors σ(n): 53996544
- Sum of proper divisors (its aliquot sum) s(n): 40577424
- 13419120 is an abundant number, because the sum of its proper divisors (40577424) is greater than itself. Its abundance is 27158304
Bases of 13419120
- Binary: 1100110011000010011100002
- Hexadecimal: 0xCCC270
- Base-36: 7ZM9C
Squares and roots of 13419120
- 13419120 squared (134191202) is 180072781574400
- 13419120 cubed (134191203) is 2416418264680662528000
-
The
square root of 13419120 is 3663.2117055939 -
The
cube root of 13419120 is 237.6336901973
Scales and comparisons
How big is 13419120?- 13,419,120 seconds is equal to 22 weeks, 1 day, 7 hours, 32 minutes.
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To count from 1 to 13,419,120 would take you about thirty-three 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 13419120 cubic inches would be around 19.8 feet tall.
Recreational maths with 13419120
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