141444430330100 has 72 divisors (see below), whose sum is σ = 309296179949400. Its totient is φ = 56142747781120.

The previous prime is 141444430330037. The next prime is 141444430330121. The reversal of 141444430330100 is 1033034444141.

It can be written as a sum of positive squares in 12 ways, for example, as 15672825867664 + 125771604462436 = 3958892^2 + 11214794^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32896112 + ... + 36946488.

It is an arithmetic number, because the mean of its divisors is an integer number (4295780277075).

Almost surely, 2^{141444430330100} is an apocalyptic number.

141444430330100 is a gapful number since it is divisible by the number (10) 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 141444430330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154648089974700).

141444430330100 is an abundant number, since it is smaller than the sum of its proper divisors (167851749619300).

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

141444430330100 is a wasteful number, since it uses less digits than its factorization.

141444430330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4053077 (or 4053070 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 141444430330100 its reverse (1033034444141), we get a palindrome (142477464774241).

The spelling of 141444430330100 in words is "one hundred forty-one trillion, four hundred forty-four billion, four hundred thirty million, three hundred thirty thousand, one hundred".