https://bitcointalk.org/index.php?topic=1306983.msg59102356#msg59102356 continuing the flight...
1048576×1048576 = 1099511627776
1099511627776×1099511627776 = 1208925819614629174706176
or the same
1048576×1099511627776×1048576 = 1208925819614629174706176
i.e. the 20th puzzle jumps within 1^2-2^20 blablabla
532368669374487342350336 484187 ×1099511627776×1000001
181088827760010590158848 164700 ×1099511627776×1000002
619892701383498689150976 563789 ×1099511627776×1000002
644019977303000002592768 585732 ×1099511627776×1000003
1120137428268770255699968 1018757 ×1099511627776×1000003
280959330078426262405120 255531 ×1099511627776×1000004
352372895955598358609920 320481 ×1099511627776×1000004
15992476587985050009600 14546 ×1099511627776×1000005
147981810864471083581440 134589 ×1099511627776×1000005
849455045036521008660480 772572 ×1099511627776×1000005
1092999181290656105496576 994072 ×1099511627776×1000006
142265848123988914470912 129390 ×1099511627776×1000008
520451395515858448023552 473345 ×1099511627776×1000008
852452687023533572751360 775296×1099511627776× 1000008
181419951836283866710016 165000 ×1099511627776×1000009
697292360654493845553152 634179 ×1099511627776×1000009
722959214526753365032960 657522×1099511627776× 1000010
...
in some it pops up several times
11011000101111010000110010010101010000000000000000000000000000000000000000 11010010110001010101 0000000000000000000110100111010101010100110111011111111001111110010001110011100 011011110001010111101 15992476587985050009600 14546 ×1099511627776× 1000005
11111010101100001110000101011101011000000000000000000000000000000000000000000 11010010110001010101 0000000000000000011111111011000011100000111110011001010110000101001111111101111 011001101010101011110 147981810864471083581440 134589 ×1099511627776×1000005
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1000000000000000000000000000000000000000000000000000000000000000000000000000000 00 1208925819614629174706176 2^81-1
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10000000000000000000000000000000000000000 1099511627776
1000000000000000000000000000000000000000000000000000000000000000000000000000000 00 1208925819614629174706176
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1__00_0_1_110______110__100011
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1100001101010000 50000
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1099511627776×1099511627776 1208925819614629174706176
1208925819614629174706176×1208925819614629174706176 1461501637330902918203684832716283019655932542976
1011111010111100001000000000000000000000000000000000000000000000000 1000000×1099511627776×100
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262!/131!/131! 364950428295639250777230977182937950631063637653015344224357416878384793565048
1048575×1208925819614629174706176×1048575 1329225460484924342264618696048640000 1208925819614629174706176×1099511627776 1329227995784915872903807060280344576
80!/40!/40! 107507208733336176461620
100!/50!/50! 100891344545564193334812497256
140!/70!/70! 93820969697840041204785894580506297666600
120!/60!/60! 96614908840363322603893139521372656
130!/65!/65! 95067625827960698145584333020095113100
here it turns out so zeros are added for 20 puzzles, this is 40 + 40 zeros
1000000000000000000000000000000000000000000000000000000000000000000000000000000 00 1208925819614629174706176
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1011110111011111111111111110110111100000 815506910688 /1048576 777727,995574951171875
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40!/39!/1! 40
40!/38!/2! 780
40!/37!/3! 9880
40!/36!/4! 91390
40!/35!/5! 658008
40!/34!/6! 3838380
40!/33!/7! 18643560
40!/32!/8! 76904685
40!/31!/9! 273438880
40!/30!/10! 847660528
40!/29!/11! 2311801440
40!/28!/12! 5586853480
3838380/2^20 3,660564422607421875
1000000000000000000000000000000000000000 549755813888
549755813888/1048576 524288
524288 549755813888/1048576
524296
524324
524496
18446744073709551616
1844674407
1111111111111111111111111111111111011011111110101111111111111101111111111101111 1110111111111111111111111110111111111111111011010000000000000000000000000000000 0000000000000000000000000000000000000000000000000000000000000000000000000000000 00000000000000000000
1000000000000000000000000000000000000000000000000000000000000000000000000000000 0000000000000000000000000000000000000000000000000 170141183460469231731687303715884105728
170141183460469231731687303715884105728/18446744073709551616 9223372036854775808
9223372036854775808 170141183460469231731687303715884105728/18446744073709551616
128!/127!/1! 128
128!/126!/2! 8128
128!/125!/3! 341376
128!/124!/4! 10668000
128!/123!/5! 264566400
128!/122!/6! 5423611200
128!/121!/7! 94525795200
128!/120!/8! 1429702652400
128!/119!/9! 19062702032000
128!/118!/10! 226846154180800
128!/117!/11! 2433440563030400
128!/116!/12! 23726045489546400
128!/115!/13! 211709328983644800
128!/114!/14! 1739040916651368000