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Goodwill, Customer Relationships and Other Intangible Assets
9 Months Ended
Sep. 30, 2019
Goodwill and Intangible Assets Disclosure [Abstract]  
Goodwill, Customer Relationships and Other Intangible Assets Goodwill, Customer Relationships and Other Intangible Assets

Goodwill, customer relationships and other intangible assets consisted of the following:
 
September 30, 2019
 
December 31, 2018
 
(Dollars in millions)
Goodwill
$
9,360

 
9,360

Customer relationships, less accumulated amortization of $5,129 and $4,806
$
570

 
893

Other intangible assets, less accumulated amortization of $1,760 and $1,712
$
329

 
311



As of September 30, 2019, the gross carrying amount of goodwill, customer relationships and other intangible assets was $17.1 billion. The total amortization expense for intangible assets for the three months ended September 30, 2019 and 2018 totaled $133 million and $144 million, respectively, and for the nine months ended September 30, 2019 and 2018 totaled $404 million and $440 million, respectively.

We estimate that total amortization expense for intangible assets for the years ending December 31, 2019 through 2023 will be as follows:
 
(Dollars in millions)
2019 (remaining three months)
$
131

2020
467

2021
155

2022
52

2023
39