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4144224032 = 25139962077
BaseRepresentation
bin1111011100000011…
…1101011100100000
3101200211002101121222
43313000331130200
531441410132112
61523121034212
7204461215544
oct36700753440
911624071558
104144224032
111837340943
12977a85968
1351077a590
142b4577a24
15193c63372
hexf703d720

4144224032 has 24 divisors (see below), whose sum is σ = 8786552796. Its totient is φ = 1912718592.

The previous prime is 4144224017. The next prime is 4144224043. The reversal of 4144224032 is 2304224414.

It is a happy number.

4144224032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3556452496 + 587771536 = 59636^2 + 24244^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 4144223992 and 4144224010.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4980623 + ... + 4981454.

Almost surely, 24144224032 is an apocalyptic number.

It is an amenable number.

4144224032 is an abundant number, since it is smaller than the sum of its proper divisors (4642328764).

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

4144224032 is a wasteful number, since it uses less digits than its factorization.

4144224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9962100 (or 9962092 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4144224032 is about 64375.6478180997. The cubic root of 4144224032 is about 1606.2546882693.

Adding to 4144224032 its reverse (2304224414), we get a palindrome (6448448446).

The spelling of 4144224032 in words is "four billion, one hundred forty-four million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 9962077 19924154 39848308 79696616 129507001 159393232 259014002 318786464 518028004 1036056008 2072112016 4144224032