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Goodwill, Customer Relationships and Other Intangible Assets
3 Months Ended
Mar. 31, 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:
 
March 31, 2019
 
December 31, 2018
 
(Dollars in millions)
Goodwill
$
9,360

 
9,360

Customer relationships, less accumulated amortization of $4,916 and $4,806
$
783

 
893

Other intangible assets, less accumulated amortization of $1,724 and $1,712
$
355

 
311



As of March 31, 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 March 31, 2019 totaled $137 million and for the three months ended March 31, 2018 totaled $149 million.

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 nine months)
$
380

2020
457

2021
149

2022
46

2023
34