Search a number
-
+
4031443104 = 25313171973137
BaseRepresentation
bin1111000001001010…
…1111000010100000
3101101221212112021120
43300102233002200
531224022134404
61504011452240
7201621462303
oct36022570240
911357775246
104031443104
11178970a967
12946157080
134c32b04c0
142a35bab3a
15188dd69d9
hexf04af0a0

4031443104 has 384 divisors, whose sum is σ = 12970056960. Its totient is φ = 1082916864.

The previous prime is 4031443079. The next prime is 4031443109. The reversal of 4031443104 is 4013441304.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4031443109) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 29426524 + ... + 29426660.

It is an arithmetic number, because the mean of its divisors is an integer number (33776190).

Almost surely, 24031443104 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 4031443104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485028480).

4031443104 is an abundant number, since it is smaller than the sum of its proper divisors (8938613856).

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

4031443104 is a wasteful number, since it uses less digits than its factorization.

4031443104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4031443104 is about 63493.6461703059. The cubic root of 4031443104 is about 1591.5496019723.

Adding to 4031443104 its reverse (4013441304), we get a palindrome (8044884408).

The spelling of 4031443104 in words is "four billion, thirty-one million, four hundred forty-three thousand, one hundred four".