There were 16 flying TU-144's built.
Excluding the Nasa/Boeing/Tupolev operated example (RA-77114), they flew a total of 2556 flights totalling 4110 flying hours.
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SSSR-68001 First flying prototype. First flight 31 December 1968.
-77102 Crashed at the Paris Air Show, 3 June 1973.
-77103 Unknown.
-77104 Never wore this registration and was instead re-registered SSSR-77144 and used for exhibition flights. Fate unknown.
-77105 On the Zhukovsky Air Base scrap heap. Modified for new engines (RD-36-51A and hence became Tu-144D).
-77106 In the Monino Museum, 29 February 1980.
-77107 Museum in Kazan, 29 March 1985.
-77108 Museum in Samara, 27 August 1987. One of two aircraft to operate the Moscow-DME to Almaty passenger service.
-77109 Stored at VASO (Voronezh Aircraft Construciton Organisation). One of two aircraft to operate the Moscow-DME to Almaty passenger service.
-77110 Unknown.
-77111 (D) In-flight fire and written off after emergency landing at Yegorievsk while still 'brand new'.
-77112 (D) Previously stored at Zhukovsky. Now at the Sinsheim Museum, Germany.
https://sinsheim.technik-museum.de/en/tupolev-tu-144
-77113 (D) Stored at Zhukovsky.
-77114 (D / LL) Used by Nasa/Boeing/Tupolev/Etc as the SST testbed and re-designated Tu-144LL (Letalushaya Laboritoriya "Flying Laboratory" ) Stored at Zhukovsky
-77115 (D) Stored at Zhukovsky.
Four aircraft were built for ground destruction/fatigue tests and never flew. Some had experimental alloys