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32434144322112 = 263213291129913219
BaseRepresentation
bin1110101111111101010011…
…01001101010001001000000
311020211200012021200020222200
413113332221221222021000
513222400111421301422
6152552012403433200
76555201221632011
oct727765151521100
9136750167606880
1032434144322112
11a375274a05865
123779b55385800
1315136b0189b40
14801b6ca09008
153b3a4705b2ac
hex1d7fa9a6a240

32434144322112 has 336 divisors, whose sum is σ = 103587240120000. Its totient is φ = 9634026221568.

The previous prime is 32434144322089. The next prime is 32434144322117. The reversal of 32434144322112 is 21122344143423.

32434144322112 is a `hidden beast` number, since 3 + 2 + 4 + 3 + 4 + 1 + 4 + 432 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32434144322117) 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 47 ways as a sum of consecutive naturals, for example, 2453593839 + ... + 2453607057.

It is an arithmetic number, because the mean of its divisors is an integer number (308295357500).

Almost surely, 232434144322112 is an apocalyptic number.

32434144322112 is a gapful number since it is divisible by the number (32) 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 32434144322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51793620060000).

32434144322112 is an abundant number, since it is smaller than the sum of its proper divisors (71153095797888).

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

32434144322112 is a wasteful number, since it uses less digits than its factorization.

32434144322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24578 (or 24565 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 32434144322112 its reverse (21122344143423), we get a palindrome (53556488465535).

The spelling of 32434144322112 in words is "thirty-two trillion, four hundred thirty-four billion, one hundred forty-four million, three hundred twenty-two thousand, one hundred twelve".