42 = 12 × 3 + 4 + 5 + 6 + 7 + 8 + 9
42 = 98 + 7 + 6 − 5 − 43 − 21
42 = 0^0 + 1^9 + 2^6 + 3^7 − 4^8 + 5^3 + 6^1 + 7^2 + 8^4 + 9^5
42 = (1 + 1) × (11 + 11 − 1)
= 2 × 22 − 2
= 3 × 3 + 33
= 44 − (4 + 4)/4
= 5 + 5 + ((5 + 5)/5)5
= 6 × 6 + 6
= 7 × 7 − 7
= 8 × 8 − (88 + 88)/8
= 9 + 9 × 99/(9 + 9 + 9)
\( {\displaystyle 42=(-80\ 538\ 738\ 812\ 075\ 974)^{3}+80\ 435\ 758\ 145\ 817\ 515^{3}+12\ 602\ 123\ 297\ 335\ 631^{3} } \)
a(n) = 3*n*(n + 3)/2. (n = 4)
42 is the 5th Catalan number
Abundant number : 12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, 104, 108, 112, 114, 120, ... (sequence A005101 in the OEIS).
Sphenic number: Product of 3 distinct Primes, (List)
Cake number, maximal number of pieces resulting from 6 planar cuts through a cube (or cake)
Number of Partitions of 10
----
From The Hitchhiker's Guide to the Galaxy : The Answer to the Ultimate Question of Life, the Universe, and Everything is 42
Factors: 1, 2, 3, 6, 7, 14, 21, 42
Representations, Binary to Hexadecimal:
101010_2
1120_3
222_4
132_5
110_6
60_7
52_8
46_9
39_11
36_12
33_13
30_14
2c_15
2a_16
<--- --->
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
