Search a number
-
+
440440000040 = 23553207754717
BaseRepresentation
bin1100110100011000100…
…01010000111000101000
31120002212000120020002002
412122030101100320220
524204010120000130
6534200233430132
743551341141525
oct6321421207050
91502760506062
10440440000040
1115a875996a37
127143a56b348
13326c18c8a51
1417462d8814c
15b6cbd45b45
hex668c450e28

440440000040 has 32 divisors (see below), whose sum is σ = 1009687929480. Its totient is φ = 172851923712.

The previous prime is 440440000031. The next prime is 440440000051. The reversal of 440440000040 is 40000044044.

It can be written as a sum of positive squares in 4 ways, for example, as 387299607556 + 53140392484 = 622334^2 + 230522^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 440439999967 and 440440000021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103875239 + ... + 103879478.

Almost surely, 2440440000040 is an apocalyptic number.

440440000040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440440000040 is an abundant number, since it is smaller than the sum of its proper divisors (569247929440).

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

440440000040 is a wasteful number, since it uses less digits than its factorization.

440440000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207754781 (or 207754777 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 440440000040 its reverse (40000044044), we get a palindrome (480440044084).

The spelling of 440440000040 in words is "four hundred forty billion, four hundred forty million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 207754717 415509434 831018868 1038773585 1662037736 2077547170 4155094340 8310188680 11011000001 22022000002 44044000004 55055000005 88088000008 110110000010 220220000020 440440000040