2141431314 has 128 divisors (see below), whose sum is σ = 4964198400. Its totient is φ = 610030080.

The previous prime is 2141431301. The next prime is 2141431363. The reversal of 2141431314 is 4131341412.

It is a super-3 number, since 3×2141431314³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12822859 + ... + 12823025.

It is an arithmetic number, because the mean of its divisors is an integer number (38782800).

Almost surely, 2^2141431314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141431314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482099200).

2141431314 is an abundant number, since it is smaller than the sum of its proper divisors (2822767086).

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

2141431314 is a wasteful number, since it uses less digits than its factorization.

2141431314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368.

The product of its digits is 1152, while the sum is 24.

The square root of 2141431314 is about 46275.6017140782. The cubic root of 2141431314 is about 1288.9459799617.

Adding to 2141431314 its reverse (4131341412), we get a palindrome (6272772726).

The spelling of 2141431314 in words is "two billion, one hundred forty-one million, four hundred thirty-one thousand, three hundred fourteen".