Read the following texts and table with financial data from an S&P 500 earnings report carefully.Based on the question-answer history (if provided), answer the last question. The answer may require mathematical calculation based on the data provided.

Text: five-year performance comparison 2013 the following graph provides an indicator of cumulative total shareholder returns for the corporation as compared to the peer group index ( described above ) , the dj trans , and the s&p 500 . the graph assumes that $ 100 was invested in the common stock of union pacific corporation and each index on december 31 , 2007 and that all dividends were reinvested . purchases of equity securities 2013 during 2012 , we repurchased 13804709 shares of our common stock at an average price of $ 115.33 . the following table presents common stock repurchases during each month for the fourth quarter of 2012 : period total number of shares purchased [a] average price paid per share total number of shares purchased as part of a publicly announced plan or program [b] maximum number of shares that may yet be purchased under the plan or program [b] . <table class='wikitable'><tr><td>1</td><td>period</td><td>total number ofsharespurchased [a]</td><td>averageprice paidper share</td><td>total number of sharespurchased as part of apublicly announced planor program [b]</td><td>maximum number ofshares that may yetbe purchased under the planor program [b]</td></tr><tr><td>2</td><td>oct . 1 through oct . 31</td><td>1068414</td><td>121.70</td><td>1028300</td><td>16041399</td></tr><tr><td>3</td><td>nov . 1 through nov . 30</td><td>659631</td><td>120.84</td><td>655000</td><td>15386399</td></tr><tr><td>4</td><td>dec . 1 through dec . 31</td><td>411683</td><td>124.58</td><td>350450</td><td>15035949</td></tr><tr><td>5</td><td>total</td><td>2139728</td><td>$ 121.99</td><td>2033750</td><td>n/a</td></tr></table> [a] total number of shares purchased during the quarter includes approximately 105978 shares delivered or attested to upc by employees to pay stock option exercise prices , satisfy excess tax withholding obligations for stock option exercises or vesting of retention units , and pay withholding obligations for vesting of retention shares . [b] on april 1 , 2011 , our board of directors authorized the repurchase of up to 40 million shares of our common stock by march 31 , 2014 . these repurchases may be made on the open market or through other transactions . our management has sole discretion with respect to determining the timing and amount of these transactions. .
Question: what was the number of shares authorized for repurchase?

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