1034144514 has 96 divisors (see below), whose sum is σ = 2465334144. Its totient is φ = 311385600.

The previous prime is 1034144509. The next prime is 1034144519. The reversal of 1034144514 is 4154414301.

1034144514 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 144 + 514 = 666.

1034144514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1034144509) and next prime (1034144519).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1034144519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2578714 + ... + 2579114.

It is an arithmetic number, because the mean of its divisors is an integer number (25680564).

Almost surely, 2^1034144514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034144514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232667072).

1034144514 is an abundant number, since it is smaller than the sum of its proper divisors (1431189630).

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

1034144514 is a wasteful number, since it uses less digits than its factorization.

1034144514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1034144514 is about 32158.1173889269. The cubic root of 1034144514 is about 1011.2543686896.

Adding to 1034144514 its reverse (4154414301), we get a palindrome (5188558815).

The spelling of 1034144514 in words is "one billion, thirty-four million, one hundred forty-four thousand, five hundred fourteen".