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                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549
 
                                  SCHEDULE 13G
 
                   UNDER THE SECURITIES EXCHANGE ACT OF 1934
                              (AMENDMENT NO. 19 )*
 
                            AMERADA HESS CORPORATION
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                                (NAME OF ISSUER)
 
                                  COMMON STOCK
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                         (TITLE OF CLASS OF SECURITIES)
 
                                  023551 10 4
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                                 (CUSIP NUMBER)
 
Check the following box if a fee is being paid with this statement / /.
 
(A fee is not required only if the filing person: (1) has a previous statement
on file reporting beneficial ownership of more than five percent of the class of
securities described in Item 1; and (2) has filed no amendment subsequent
thereto reporting beneficial ownership of five percent or less of such class.)
(See Rule 13d-7.)
 
*The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.
 
The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).
 
                        (Continued on following page(s))
                               Page 1 of 2 Pages
 
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                                  SCHEDULE 13G
 
                                                                                     
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        CUSIP NO. 023551 10 4                                                       PAGE 2 OF 2 PAGES
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          1                                   NAME OF REPORTING PERSON
                                  S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
                                                      Leon Hess
                                                S.S. No. ###-##-####
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          2                CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP       (a) [ ]
                                                       (b) [ ]
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          3                                         SEC USE ONLY
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          4                             CITIZENSHIP OR PLACE OR ORGANIZATION
                                                    United States
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      NUMBER OF         5    SOLE VOTING POWER
        SHARES               11,762,011
     BENEFICIALLY
        OWNED
          BY
         EACH
      REPORTING
        PERSON
         WITH
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                        6    SHARED VOTING POWER
                             None
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                        7    SOLE DISPOSITIVE POWER
                             11,762,011
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                        8    SHARED DISPOSITIVE POWER
                             None
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          9                          AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH
                                                  REPORTING PERSON
                             11,762,011  See Notes (1) and (2) of attached Schedule 13G
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          10                    CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
                                                   CERTAIN SHARES*
                                        See Note (1) of attached Schedule 13G
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          11                      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
                                                        12.9%
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          12                                  TYPE OF REPORTING PERSON
                                                         IN
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*SEE INSTRUCTION BEFORE FILLING OUT! 3 ITEM 4. OWNERSHIP (a) Amount Beneficially Owned: 11,762,011(1)(2) (b) Percent of Class: 12.9% (c) Number of Shares as to which such person has: (i) sole power to vote or to direct the vote 11,762,011 (ii) shared power to vote or to direct the vote (iii) sole power to dispose or to direct the disposition of 11,762,011 (iv) shared power to dispose or to direct the disposition of
2 4 SIGNATURE After reasonable inquiry and to the best of my knowledge and belief, I certify that the information set forth in this statement is true, complete and correct. February 10, 1998 - --------------------------------------------------------- Date /s/ Leon Hess - --------------------------------------------------------- Signature Leon Hess Chairman of the Executive Committee and Director of Amerada Hess Corporation - --------------------------------------------------------- Name/Title 3 5 NOTES: (1) Excludes 168,452 shares held by Mr. Hess' wife, as to which Mr. Hess disclaims beneficial ownership. Excludes 107,286 shares held by Capitol Street Corporation, a corporation in which Mr. Hess owns a minority equity interest, and as to which he disclaims beneficial ownership. (2) Includes 175,218 shares held by five corporations of which Mr. Hess is an officer, director and owner of voting preferred stock having at least 80% of the total voting power of all classes of stock. Also includes 1,921,100 shares held by Hess Foundation, Inc. of which Mr. Hess is a director and 28,622 shares held by five trusts of which Mr. Hess is trustee. 4