34144214203000 has 128 divisors (see below), whose sum is σ = 87199378156800. Its totient is φ = 12410591952000.

The previous prime is 34144214202977. The next prime is 34144214203007. The reversal of 34144214203000 is 30241244143.

It is a self number, because there is not a number n which added to its sum of digits gives 34144214203000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144214203007) 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, 24252391 + ... + 25621609.

It is an arithmetic number, because the mean of its divisors is an integer number (681245141850).

Almost surely, 2^{34144214203000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34144214203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43599689078400).

34144214203000 is an abundant number, since it is smaller than the sum of its proper divisors (53055163953800).

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

34144214203000 is a wasteful number, since it uses less digits than its factorization.

34144214203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371518 (or 1371504 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 34144214203000 its reverse (30241244143), we get a palindrome (34174455447143).

The spelling of 34144214203000 in words is "thirty-four trillion, one hundred forty-four billion, two hundred fourteen million, two hundred three thousand".