ADOBE SYSTEMS INCORPORATED NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (Continued) 68 We review our goodwill for impairment annually, or more frequently, if facts and circumstances warrant a review.
We completed our annual impairment test in the second quarter of fiscal 2013.
We elected to use the Step 1 quantitative assessment for our three reporting units—Digital Media, Digital Marketing and Print and Publishing—and determined that there was no impairment of goodwill.
There is no significant risk of material goodwill impairment in any of our reporting units, based upon the results of our annual goodwill impairment test.
We amortize intangible assets with finite lives over their estimated useful lives and review them for impairment whenever an impairment indicator exists.
We continually monitor events and changes in circumstances that could indicate carrying amounts of our long-lived assets, including our intangible assets may not be recoverable.
When such events or changes in circumstances occur, we assess recoverability by determining whether the carrying value of such assets will be recovered through the undiscounted expected future cash flows.
If the future undiscounted cash flows are less than the carrying amount of these assets, we recognize an impairment loss based on any excess of the carrying amount over the fair value of the assets.
We did not recognize any intangible asset impairment charges in fiscal 2013, 2012 or 2011.
Our intangible assets are amortized over their estimated useful lives of 1 to 14 years.
Amortization is based on the pattern in which the economic benefits of the intangible asset will be consumed or on a straight-line basis when the consumption pattern is not apparent.
The weighted average useful lives of our intangible assets were as follows:
## Table 0 ##
Software Development Costs Capitalization of software development costs for software to be sold, leased, or otherwise marketed begins upon the establishment of technological feasibility, which is generally the completion of a working prototype that has been certified as having no critical bugs and is a release candidate.
Amortization begins once the software is ready for its intended use, generally based on the pattern in which the economic benefits will be consumed.
To date, software development costs incurred between completion of a working prototype and general availability of the related product have not been material.
Internal Use Software We capitalize costs associated with customized internal-use software systems that have reached the application development stage.
Such capitalized costs include external direct costs utilized in developing or obtaining the applications and payroll and payroll-related expenses for employees, who are directly associated with the development of the applications.
Capitalization of such costs begins when the preliminary project stage is complete and ceases at the point in which the project is substantially complete and is ready for its intended purpose.
Income Taxes We use the asset and liability method of accounting for income taxes.
Under this method, income tax expense is recognized for the amount of taxes payable or refundable for the current year.
In addition, deferred tax assets and liabilities are recognized for expected future tax consequences of temporary differences between the financial reporting and tax bases of assets and liabilities, and for operating losses and tax credit carryforwards.
We record a valuation allowance to reduce deferred tax assets to an amount for which realization is more likely than not.
PUBLIC STORAGE NOTES TO CONSOLIDATED FINANCIAL STATEMENTS December 31, 2010
## Table 1 ##
Our Board of Trustees previously authorized the repurchase from time to time of up to 35,000,000 of our common shares on the open market or in privately negotiated transactions.
During the year ended December 31, 2010, we did not repurchase any of our common shares.
Through December 31, 2010, we have repurchased a total of 23,721,916 of our common shares pursuant to this authorization.
At December 31, 2010 and 2009, we had 3,435,287 and 4,244,022 of common shares reserved in connection with our share-based incentive plans, respectively (see Note 10), and 231,978 shares reserved for the conversion of Convertible Partnership Units, respectively.
Equity Shares, Series AAA On August 31, 2010, we retired all outstanding shares of Equity Shares, Series AAA 3(TXLW\6KDUHV $$$′ outstanding.
At December 31, 2009, we had 4,289,544 Equity Shares AAA outstanding with a carrying value of $100,000,000.
The Equity Shares AAA ranked on parity with our common shares and junior to our Senior Preferred Shares with respect to general preference rights, and had a liquidation amount equal to 120% of the amount distributed to each common share.
Annual distributions per share are equal to the lesser of (i) five times the amount paid per common share or (ii) $2.1564.
We have no obligation to pay distributions if no distributions are paid to common shareholders.
During the years ended December 31, 2010, 2009 and 2008, we paid quarterly distributions to the holder of the Equity Shares, Series AAA of $0.5391 per share for each of the quarters ended March 31 and June 30.
During the years ended December 31, 2009 and 2008, we also paid distributions of $0.5391 per share for each of the quarters ended September 30 and December 31.
As a result of the retirement on August 31, 2010, no further distributions will be paid for the period subsequent to June 30, 2010.
For all periods presented, the Equity Shares, Series AAA and related dividends are eliminated in consolidation as the shares are held by one of our wholly-owned subsidiaries.
Dividends The unaudited characterization of dividends for Federal income tax purposes is made based upon earnings and profits of the Company, as defined by the Internal Revenue Code.
Common share dividends including amounts paid to our restricted share unitholders totaled $516.9 million ($3.05 per share), $371.7 million ($2.20 per share) and $472.8 million ($2.80 per share), for the years ended December 31, 2010, 2009 and 2008, respectively.
As noted above, we redeemed all of our outstanding shares of Equity Shares, Series A on April 15, 2010 and no further distributions will be paid subsequent to March 31, 2010.
Equity Shares, Series A dividends totaled $5.1 million ($0.6125 per share), $20.5 million ($2.45 per share) and $21.2 million ($2.45 per share), for the years ended December 31, 2010, 2009 and 2008, respectively.
Preferred share dividends totaled $232.7 million, $232.4 million and $239.7 million for the years ended December 31, 2010, 2009 and 2008, respectively.
For the tax year ended December 31, 2010, distributions for the common shares, Equity Shares, Series A, and all the various series of preferred shares were classified as follows:
Same Store Facilities 7KH36DPH6WRUH)DFLOLWLHV′UHSUHVHQWVWKRVHIDFLOLWLHVW KDWDUHVWDELOL]HGDQGRZQHGVLQFH-DQXDU\ 2008 and therefore provide meaningful comparisons for 2008, 2009, and 2010.
The following table summarizes the historical operating results of these 1,925 facilities (120.3 million net rentable square feet) that represent approximately 94% of the aggregate net rentable square feet of our U. S.  consolidated self-storage portfolio at December 31, 2010.
## Table 2 ##
a) Revenues and cost of operations do not include ancillary revenues and expenses generated at the facilities with respect WR WHQDQW UHLQVXUDQFH UHWDLO VDOHV DQG WUXFN UHQWDOV  32WKHU FRVWV RI PDQDJHPHQW′ LQFOXGHG LQ FRVW RI operations principally represents all the indirect costs incurred in the operations of the facilities.
Indirect costs principally include supervisory costs and corporate overhead cost incurred to support the operating activities of the facilities.
b) 6HH 3 NeW 2SHUDWLQJ ,QFRPH′ above for a reconciliation of this non-GAAP measure to our net income in our consolidated statements of income for the years ended December 31, 2010, 2009 and 2008.  c) Square foot occupancies represent weighted average occupancy levels over the entire period.
d) Realized annual rent per occupied square foot is computed by annualizing the result of dividing rental income (which excludes late charges and administrative fees) by the weighted average occupied square feet for the period.
Realized annual rent per occupied square foot takes into consideration promotional discounts and other items that reduce rental income from the contractual amounts due.
e) Late charges and administrative fees are excluded from the computation of realized annual rent per occupied square foot and REVPAF.
Exclusion of these amounts provides a better measure of our ongoing level of revenue, by

Tables referenced above, in order (Table 0 first):
<table><tr><td></td><td>Weighted AverageUseful Life (years)</td></tr><tr><td>Purchased technology</td><td>6</td></tr><tr><td>Customer contracts and relationships</td><td>10</td></tr><tr><td>Trademarks</td><td>8</td></tr><tr><td>Acquired rights to use technology</td><td>8</td></tr><tr><td>Localization</td><td>1</td></tr><tr><td>Other intangibles</td><td>3</td></tr></table>
<table><tr><td></td><td colspan="2">2010</td><td colspan="2">2009</td><td colspan="2">2008</td></tr><tr><td></td><td>Shares</td><td>Amount</td><td>Shares</td><td>Amount</td><td>Shares</td><td>Amount</td></tr><tr><td></td><td colspan="6">(Dollar amounts in thousands)</td></tr><tr><td>Employee stock-basedcompensation and exercise of stock options (Note 10)</td><td>847,280</td><td>$41,308</td><td>125,807</td><td>$2,192</td><td>377,453</td><td>$10,890</td></tr><tr><td>Repurchases of common shares</td><td>-</td><td>-</td><td>-</td><td>-</td><td>-1,520,196</td><td>-111,903</td></tr><tr><td></td><td>847,280</td><td>$41,308</td><td>125,807</td><td>$2,192</td><td>-1,142,743</td><td>$-101,013</td></tr></table>
<table><tr><td>SAME STORE FACILITIES</td><td colspan="3">Year Ended December 31,</td><td colspan="3">Year Ended December 31,</td></tr><tr><td></td><td>2010</td><td>2009</td><td>Percentage Change</td><td>2009</td><td>2008</td><td>Percentage Change</td></tr><tr><td>Revenues:</td><td colspan="6">(Dollar amounts in thousands, except weighted average amounts)</td></tr><tr><td>Rental income</td><td>$1,357,579</td><td>$1,357,045</td><td>0.0%</td><td>$1,357,045</td><td>$1,406,812</td><td>-3.5%</td></tr><tr><td>Late charges and administrative fees</td><td>70,137</td><td>66,293</td><td>5.8%</td><td>66,293</td><td>61,673</td><td>7.5%</td></tr><tr><td>Total revenues (a)</td><td>1,427,716</td><td>1,423,338</td><td>0.3%</td><td>1,423,338</td><td>1,468,485</td><td>-3.1%</td></tr><tr><td>Cost of operations:</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Property taxes</td><td>141,619</td><td>143,261</td><td>-1.1%</td><td>143,261</td><td>139,483</td><td>2.7%</td></tr><tr><td>Direct property payroll</td><td>98,455</td><td>96,406</td><td>2.1%</td><td>96,406</td><td>96,365</td><td>0.0%</td></tr><tr><td>Media advertising</td><td>14,702</td><td>20,178</td><td>-27.1%</td><td>20,178</td><td>20,387</td><td>-1.0%</td></tr><tr><td>Other advertising and promotion</td><td>21,899</td><td>20,465</td><td>7.0%</td><td>20,465</td><td>18,567</td><td>10.2%</td></tr><tr><td>Utilities</td><td>35,368</td><td>35,630</td><td>-0.7%</td><td>35,630</td><td>37,514</td><td>-5.0%</td></tr><tr><td>Repairs and maintenance</td><td>45,650</td><td>39,188</td><td>16.5%</td><td>39,188</td><td>43,647</td><td>-10.2%</td></tr><tr><td>Telephone reservation center</td><td>11,234</td><td>11,313</td><td>-0.7%</td><td>11,313</td><td>12,896</td><td>-12.3%</td></tr><tr><td>Property insurance</td><td>9,656</td><td>9,987</td><td>-3.3%</td><td>9,987</td><td>11,656</td><td>-14.3%</td></tr><tr><td>Other cost of management</td><td>88,847</td><td>87,613</td><td>1.4%</td><td>87,613</td><td>92,288</td><td>-5.1%</td></tr><tr><td>Total cost of operations (a)</td><td>467,430</td><td>464,041</td><td>0.7%</td><td>464,041</td><td>472,803</td><td>-1.9%</td></tr><tr><td>Net operating income (b)</td><td>960,286</td><td>959,297</td><td>0.1%</td><td>959,297</td><td>995,682</td><td>-3.7%</td></tr><tr><td>Depreciation and amortization expense</td><td>-303,175</td><td>-304,008</td><td>-0.3%</td><td>-304,008</td><td>-351,611</td><td>-13.5%</td></tr><tr><td>Net income</td><td>$657,111</td><td>$655,289</td><td>0.3%</td><td>$655,289</td><td>$644,071</td><td>1.7%</td></tr><tr><td>Gross margin (before depreciation and amortization expense)</td><td>67.3%</td><td>67.4%</td><td>-0.1%</td><td>67.4%</td><td>67.8%</td><td>-0.6%</td></tr><tr><td>Weighted average for the period:</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Square foot occupancy (c)</td><td>89.8%</td><td>88.7%</td><td>1.2%</td><td>88.7%</td><td>89.5%</td><td>-0.9%</td></tr><tr><td>Realized annual rent per occupied square foot (d)(e)</td><td>$12.56</td><td>$12.71</td><td>-1.2%</td><td>$12.71</td><td>$13.06</td><td>-2.7%</td></tr><tr><td>REVPAF (e)(f)</td><td>$11.28</td><td>$11.28</td><td>0.0%</td><td>$11.28</td><td>$11.69</td><td>-3.5%</td></tr><tr><td>Weighted average at December 31:</td><td></td><td></td><td></td><td></td><td></td><td></td></tr><tr><td>Square foot occupancy</td><td>88.6%</td><td>87.1%</td><td>1.7%</td><td>87.1%</td><td>87.1%</td><td>0.0%</td></tr><tr><td>In place annual rent per occupied square foot (g)</td><td>$13.63</td><td>$13.47</td><td>1.2%</td><td>$13.47</td><td>$14.01</td><td>-3.9%</td></tr><tr><td>Total net rentable square feet (in thousands)</td><td>120,328</td><td>120,328</td><td>-</td><td>120,328</td><td>120,328</td><td>-</td></tr><tr><td>Number of facilities</td><td>1,925</td><td>1,925</td><td>-</td><td>1,925</td><td>1,925</td><td>-</td></tr></table>

Question: what is the average weighted average useful life ( years ) for trademarks and acquired rights to use technology?
Answer: 8
Reasoning program: add(8,8), divide(#0,const_2)