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34231354351056 = 2435331255110427
BaseRepresentation
bin1111100100010000110111…
…01101110101110111010000
311111012111002221102012200000
413302020123231311313100
513441321303203213211
6200445400031530000
710132063605054462
oct762103355656720
9144174087365600
1034231354351056
11a9a8488137945
123a0a323389900
1316140063a68a5
14864b40a44132
153e5681bab656
hex1f221bb75dd0

34231354351056 has 240 divisors, whose sum is σ = 99697175305728. Its totient is φ = 11370428784000.

The previous prime is 34231354351003. The next prime is 34231354351097. The reversal of 34231354351056 is 65015345313243.

34231354351056 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 1 + 3 + 543 + 51 + 0 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3282948115 + ... + 3282958541.

Almost surely, 234231354351056 is an apocalyptic number.

34231354351056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34231354351056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49848587652864).

34231354351056 is an abundant number, since it is smaller than the sum of its proper divisors (65465820954672).

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

34231354351056 is a wasteful number, since it uses less digits than its factorization.

34231354351056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13332 (or 13314 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

Adding to 34231354351056 its reverse (65015345313243), we get a palindrome (99246699664299).

The spelling of 34231354351056 in words is "thirty-four trillion, two hundred thirty-one billion, three hundred fifty-four million, three hundred fifty-one thousand, fifty-six".