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4144440132 = 22327171959863
BaseRepresentation
bin1111011100000111…
…0010001101000100
3101200211111101001200
43313001302031010
531441434041012
61523125422500
7204463105560
oct36701621504
911624441050
104144440132
111837479238
12977b6aa30
13510824a51
142b45d26a0
15193ca73dc
hexf7072344

4144440132 has 288 divisors, whose sum is σ = 13586227200. Its totient is φ = 1036717056.

The previous prime is 4144440121. The next prime is 4144440133. The reversal of 4144440132 is 2310444414.

It is a junction number, because it is equal to n+sod(n) for n = 4144440096 and 4144440105.

It is not an unprimeable number, because it can be changed into a prime (4144440133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4801933 + ... + 4802795.

It is an arithmetic number, because the mean of its divisors is an integer number (47174400).

Almost surely, 24144440132 is an apocalyptic number.

4144440132 is a gapful number since it is divisible by the number (42) 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 4144440132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793113600).

4144440132 is an abundant number, since it is smaller than the sum of its proper divisors (9441787068).

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

4144440132 is a wasteful number, since it uses less digits than its factorization.

4144440132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4144440132 is about 64377.3262259314. The cubic root of 4144440132 is about 1606.2826070949.

Adding to 4144440132 its reverse (2310444414), we get a palindrome (6454884546).

The spelling of 4144440132 in words is "four billion, one hundred forty-four million, four hundred forty thousand, one hundred thirty-two".