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Stock-Based Compensation (Tables) | 3 Months Ended
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Mar. 31, 2024
Stock-Based Compensation |
Schedule of stock option activity | ​
​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ | ​ | ​ | ​ | ​ | Weighted | ​ | ​ | ​ |
​ |  | ​ | ​ | ​ | ​ | Average | ​ | Aggregate |
​ |  | ​ | ​ | Weighted | ​ | Remaining | ​ | Intrinsic |
​ |  | ​ | ​ | Average | ​ | Contractual | ​ | Value | ​
​ |  | Options |  | Exercise Price |  | Term (in years) |  | (in millions) |
Options outstanding at January 1, 2024 |  | 60,390,162 | ​ | $ | 50.45 |  | 5.81 | ​ | $ | 2,939.5 | ​
Options granted |  | 58,031 | ​ |  | 90.72 | ​ | ​ | ​ | ​ | ​ | ​
Options exercised |  | (3,156,425) | ​ |  | 37.27 | ​ | ​ | ​ | ​ | ​ | ​
Options forfeited |  | (43,137) | ​ |  | 65.02 | ​ | ​ | ​ | ​ | ​ | ​
Options outstanding at March 31, 2024 |  | 57,248,631 | ​ | $ | 51.21 |  | 5.69 | ​ | $ | 3,671.9 | ​
Vested and non-vested options expected to vest at March 31, 2024 |  | 55,794,585 | ​ | $ | 50.80 |  | 5.63 | ​ | $ | 3,601.3 | ​
Exercisable options at March 31, 2024 |  | 34,849,870 | ​ | $ | 43.54 |  | 4.53 | ​ | $ | 2,502.7 | ​
Summary of status of non-vested options and changes during the year | ​
​ | ​ | ​ | ​ | ​ | ​ | ​
​ |  | ​ |  | Weighted |
​ | ​ | ​ | ​ | Average | ​
​ | ​ | ​ | ​ | Fair Value at | ​
​ | ​ | Options | ​ | Grant Date |
Non-vested options at January 1, 2024 |  | 22,523,981 | ​ | $ | 14.57 | ​
Options granted |  | 58,031 | ​ |  | 26.36 | ​
Options vested |  | (146,726) | ​ |  | 15.79 | ​
Options forfeited |  | (36,525) | ​ |  | 17.73 | ​
Non-vested options at March 31, 2024 |  | 22,398,761 | ​ | $ | 14.58 | ​
Summary of activity in the option plans | ​
​ | ​ | ​ | ​ | ​ | ​
​ | Three Months Ended
​ | March 31,
​ | 2024 | ​ | 2023
Total intrinsic value of stock options exercised | $ | 215.8 | ​ | $ | 125.7
Total fair value of stock options vested |  | 2.3 | ​ |  | 2.3

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