13800384
13,800,384 is an even composite number composed of five prime numbers multiplied together.
13800384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 13800384:
26 × 32 × 13 × 19 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 19 × 97)See below for interesting mathematical facts about the number 13800384 from the Numbermatics database.
Names of 13800384
- Cardinal: 13800384 can be written as Thirteen million, eight hundred thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.3800384 × 107
Factors of 13800384
Divisors of 13800384
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 32 36 38 39 48 52 57 64 72 76 78 96 97 104 114 117 144 152 156 171 192 194 208 228 234 247 288 291 304 312 342 388 416 456 468 494 576 582 608 624 684 741 776 832 873 912 936 988 1164 1216 1248 1261 1368 1482 1552 1746 1824 1843 1872 1976 2223 2328 2496 2522 2736 2964 3104 3492 3648 3686 3744 3783 3952 4446 4656 5044 5472 5529 5928 6208 6984 7372 7488 7566 7904 8892 9312 10088 10944 11058 11349 11856 13968 14744 15132 15808 16587 17784 18624 20176 22116 22698 23712 23959 27936 29488 30264 33174 35568 40352 44232 45396 47424 47918 55872 58976 60528 66348 71136 71877 80704 88464 90792 95836 117952 121056 132696 142272 143754 176928 181584 191672 215631 242112 265392 287508 353856 363168 383344 431262 530784 575016 726336 766688 862524 1061568 1150032 1533376 1725048 2300064 3450096 4600128 6900192 13800384
- Sum of all divisors σ(n): 45303440
- Sum of proper divisors (its aliquot sum) s(n): 31503056
- 13800384 is an abundant number, because the sum of its proper divisors (31503056) is greater than itself. Its abundance is 17702672
Bases of 13800384
- Binary: 1101001010010011110000002
- Hexadecimal: 0xD293C0
- Base-36: 87SG0
Squares and roots of 13800384
- 13800384 squared (138003842) is 190450598547456
- 13800384 cubed (138003843) is 2628291392984735023104
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The
square root of 13800384 is 3714.8868085043 -
The
cube root of 13800384 is 239.8632554353
Scales and comparisons
How big is 13800384?- 13,800,384 seconds is equal to 22 weeks, 5 days, 17 hours, 26 minutes, 24 seconds.
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To count from 1 to 13,800,384 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 13800384 cubic inches would be around 20 feet tall.
Recreational maths with 13800384
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