214101216
214,101,216 is an even composite number composed of five prime numbers multiplied together.
214101216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 214101216:
25 × 32 × 7 × 61 × 1741
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 61 × 1741)See below for interesting mathematical facts about the number 214101216 from the Numbermatics database.
Names of 214101216
- Cardinal: 214101216 can be written as Two hundred fourteen million, one hundred one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 2.14101216 × 108
Factors of 214101216
Divisors of 214101216
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 61 63 72 84 96 112 122 126 144 168 183 224 244 252 288 336 366 427 488 504 549 672 732 854 976 1008 1098 1281 1464 1708 1741 1952 2016 2196 2562 2928 3416 3482 3843 4392 5124 5223 5856 6832 6964 7686 8784 10248 10446 12187 13664 13928 15372 15669 17568 20496 20892 24374 27856 30744 31338 36561 40992 41784 48748 55712 61488 62676 73122 83568 97496 106201 109683 122976 125352 146244 167136 194992 212402 219366 250704 292488 318603 389984 424804 438732 501408 584976 637206 743407 849608 877464 955809 1169952 1274412 1486814 1699216 1754928 1911618 2230221 2548824 2973628 3398432 3509856 3823236 4460442 5097648 5947256 6690663 7646472 8920884 10195296 11894512 13381326 15292944 17841768 23789024 26762652 30585888 35683536 53525304 71367072 107050608 214101216
- Sum of all divisors σ(n): 707642208
- Sum of proper divisors (its aliquot sum) s(n): 493540992
- 214101216 is an abundant number, because the sum of its proper divisors (493540992) is greater than itself. Its abundance is 279439776
Bases of 214101216
- Binary: 11001100001011101100111000002
- Hexadecimal: 0xCC2ECE0
- Base-36: 3JGXK0
Squares and roots of 214101216
- 214101216 squared (2141012162) is 45839330692678656
- 214101216 cubed (2141012163) is 9814256441928622546845696
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The
square root of 214101216 is 14632.1979210233 -
The
cube root of 214101216 is 598.2366896375
Scales and comparisons
How big is 214101216?- 214,101,216 seconds is equal to 6 years, 42 weeks, 33 minutes, 36 seconds.
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To count from 1 to 214,101,216 would take you about ten 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 214101216 cubic inches would be around 49.9 feet tall.
Recreational maths with 214101216
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