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4144444540 = 2251913779609
BaseRepresentation
bin1111011100000111…
…0011010001111100
3101200211111121002221
43313001303101330
531441434211130
61523125455124
7204463124455
oct36701632174
911624447087
104144444540
111837481585
12977b714a4
13510826a62
142b45d412c
15193ca887a
hexf707347c

4144444540 has 48 divisors (see below), whose sum is σ = 9228391200. Its totient is φ = 1559043072.

The previous prime is 4144444477. The next prime is 4144444547. The reversal of 4144444540 is 454444414.

It is a junction number, because it is equal to n+sod(n) for n = 4144444496 and 4144444505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144444547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12256 + ... + 91864.

It is an arithmetic number, because the mean of its divisors is an integer number (192258150).

Almost surely, 24144444540 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 4144444540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4614195600).

4144444540 is an abundant number, since it is smaller than the sum of its proper divisors (5083946660).

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

4144444540 is a wasteful number, since it uses less digits than its factorization.

4144444540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79774 (or 79772 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 34.

The square root of 4144444540 is about 64377.3604615784. The cubic root of 4144444540 is about 1606.2831765720.

Adding to 4144444540 its reverse (454444414), we get a palindrome (4598888954).

The spelling of 4144444540 in words is "four billion, one hundred forty-four million, four hundred forty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 137 190 274 380 548 685 1370 2603 2740 5206 10412 13015 26030 52060 79609 159218 318436 398045 796090 1512571 1592180 3025142 6050284 7562855 10906433 15125710 21812866 30251420 43625732 54532165 109064330 207222227 218128660 414444454 828888908 1036111135 2072222270 4144444540