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234542514054342 = 231389187118057731
BaseRepresentation
bin110101010101000010101111…
…001111000010010011000110
31010202110001020001220221221110
4311111002233033002103012
5221220221032044214332
62150455202105425450
7100255065100263024
oct6525025717022306
91122401201827843
10234542514054342
1168806a1574476a
122237bab149b286
13a0b43585073a0
1441cbcbd96d714
151c1aec7ee34cc
hexd550af3c24c6

234542514054342 has 64 divisors (see below), whose sum is σ = 511117603476480. Its totient is φ = 71317921171200.

The previous prime is 234542514054341. The next prime is 234542514054377. The reversal of 234542514054342 is 243450415245432.

It is a super-3 number, since 3×2345425140543423 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234542514054291 and 234542514054300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234542514054341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3959617 + ... + 22017347.

It is an arithmetic number, because the mean of its divisors is an integer number (7986212554320).

Almost surely, 2234542514054342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234542514054342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255558801738240).

234542514054342 is an abundant number, since it is smaller than the sum of its proper divisors (276575089422138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

234542514054342 is a wasteful number, since it uses less digits than its factorization.

234542514054342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18059709.

The product of its (nonzero) digits is 9216000, while the sum is 48.

Adding to 234542514054342 its reverse (243450415245432), we get a palindrome (477992929299774).

The spelling of 234542514054342 in words is "two hundred thirty-four trillion, five hundred forty-two billion, five hundred fourteen million, fifty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 89 178 267 534 1157 1871 2314 3471 3742 5613 6942 11226 24323 48646 72969 145938 166519 333038 499557 999114 2164747 4329494 6494241 12988482 18057731 36115462 54173193 108346386 234750503 469501006 704251509 1408503018 1607138059 3214276118 4821414177 9642828354 20892794767 33786014701 41785589534 62678384301 67572029402 101358044103 125356768602 202716088206 439218191113 878436382226 1317654573339 2635309146678 3006955308389 6013910616778 9020865925167 18041731850334 39090419009057 78180838018114 117271257027171 234542514054342