Search a number
-
+
4444440040 = 235160169401
BaseRepresentation
bin1000010001110100…
…01100010111101000
3102110201222221120101
410020322030113220
533100234040130
62013003435144
7215065055065
oct41072142750
912421887511
104444440040
111980852647
12a40525ab4
1355aa227a1
143023a5c6c
151b02b61ca
hex108e8c5e8

4444440040 has 32 divisors (see below), whose sum is σ = 10006380360. Its totient is φ = 1776640000.

The previous prime is 4444440017. The next prime is 4444440041. The reversal of 4444440040 is 400444444.

It can be written as a sum of positive squares in 4 ways, for example, as 4443822244 + 617796 = 66662^2 + 786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4444439990 and 4444440008.

It is not an unprimeable number, because it can be changed into a prime (4444440041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29340 + ... + 98740.

Almost surely, 24444440040 is an apocalyptic number.

4444440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444440040 is an abundant number, since it is smaller than the sum of its proper divisors (5561940320).

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

4444440040 is a wasteful number, since it uses less digits than its factorization.

4444440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71013 (or 71009 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

The square root of 4444440040 is about 66666.6336333251. The cubic root of 4444440040 is about 1644.1408397721.

Adding to 4444440040 its reverse (400444444), we get a palindrome (4844884484).

The spelling of 4444440040 in words is "four billion, four hundred forty-four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1601 3202 6404 8005 12808 16010 32020 64040 69401 138802 277604 347005 555208 694010 1388020 2776040 111111001 222222002 444444004 555555005 888888008 1111110010 2222220020 4444440040