Those Fascinating Numbers 365
1 043 710 445 721
the smallest number n such that τ (n) = τ (n + 1) = . . . = τ (n + 7); here the
common value is 24, and in fact
1 043 710 445 721 = 3 ·
432
· 11273 · 16691,
1 043 710 445 722 = 2 ·
72
· 127 · 83859107,
1 043 710 445 723 =
112
· 257 · 1867 · 17977,
1 043 710 445 724 =
22
· 3 · 13883 · 6264919,
1 043 710 445 725 =
52
· 37 · 577 · 1955521,
1 043 710 445 726 = 2 ·
132
· 1039 · 2971993,
1 043 710 445 727 =
32
· 61 · 179 · 10620737,
1 043 710 445 728 =
25
· 108587 · 300367,
a result due to Jud McCranie.
1 111 111 113 312
the
37th
insolite number (see the number 111).
1 111 121 114 112
the
38th
insolite number (see the number 111).
1 121 313 321 216
the 39th insolite number (see the number 111).
1 174 711 139 837 (=
537)
the sixth number n 1 whose sum of digits is equal to
7

n (see the number
612 220 032).
1 331 611 322 112
the
40th
insolite number (see the number 111).
1 792 155 938 521 (=
135
· 4 826 797)
a 12-hyperperfect number, possibly the seventh (see the number 697).
1 882 672 131 025
the ninth number which is both a triangular number and a perfect square (see
the number 1 225).
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