123381216
123,381,216 is an even composite number composed of four prime numbers multiplied together.
123381216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 123381216:
25 × 32 × 73 × 1249
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 1249)See below for interesting mathematical facts about the number 123381216 from the Numbermatics database.
Names of 123381216
- Cardinal: 123381216 can be written as One hundred twenty-three million, three hundred eighty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.23381216 × 108
Factors of 123381216
Divisors of 123381216
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1249 1372 1568 1764 2016 2058 2352 2498 2744 3087 3528 3747 4116 4704 4996 5488 6174 7056 7494 8232 8743 9992 10976 11241 12348 14112 14988 16464 17486 19984 22482 24696 26229 29976 32928 34972 39968 44964 49392 52458 59952 61201 69944 78687 89928 98784 104916 119904 122402 139888 157374 179856 183603 209832 244804 279776 314748 359712 367206 419664 428407 489608 550809 629496 734412 839328 856814 979216 1101618 1258992 1285221 1468824 1713628 1958432 2203236 2517984 2570442 2937648 3427256 3855663 4406472 5140884 5875296 6854512 7711326 8812944 10281768 13709024 15422652 17625888 20563536 30845304 41127072 61690608 123381216
- Sum of all divisors σ(n): 409500000
- Sum of proper divisors (its aliquot sum) s(n): 286118784
- 123381216 is an abundant number, because the sum of its proper divisors (286118784) is greater than itself. Its abundance is 162737568
Bases of 123381216
- Binary: 1110101101010100101111000002
- Hexadecimal: 0x75AA5E0
- Base-36: 21GHK0
Squares and roots of 123381216
- 123381216 squared (1233812162) is 15222924461638656
- 123381216 cubed (1233812163) is 1878222931153122729885696
-
The
square root of 123381216 is 11107.7097549405 -
The
cube root of 123381216 is 497.8322365187
Scales and comparisons
How big is 123381216?- 123,381,216 seconds is equal to 3 years, 48 weeks, 33 minutes, 36 seconds.
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To count from 1 to 123,381,216 would take you about five 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 123381216 cubic inches would be around 41.5 feet tall.
Recreational maths with 123381216
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