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43112000000 = 295617317
BaseRepresentation
bin101000001001101011…
…001110101000000000
311010021112211111221202
4220021223032220000
51201243133000000
631445543440332
73054232645046
oct501153165000
9133245744852
1043112000000
1117313666773
1284321560a8
1340b0a1c594
14212da0a396
1511c4d00dd5
hexa09acea00

43112000000 has 280 divisors, whose sum is σ = 114366739212. Its totient is φ = 16179200000.

The previous prime is 43111999999. The next prime is 43112000033. The reversal of 43112000000 is 21134.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 40791073024 + 2320926976 = 201968^2 + 48176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 135999842 + ... + 136000158.

Almost surely, 243112000000 is an apocalyptic number.

43112000000 is a gapful number since it is divisible by the number (40) 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 43112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57183369606).

43112000000 is an abundant number, since it is smaller than the sum of its proper divisors (71254739212).

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

43112000000 is an frugal number, since it uses more digits than its factorization.

43112000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 43112000000 its reverse (21134), we get a palindrome (43112021134).

The spelling of 43112000000 in words is "forty-three billion, one hundred twelve million", and thus it is an aban number.