Search a number
-
+
4444000004020 = 2251087092043989
BaseRepresentation
bin100000010101011001100…
…0010101010011110110100
3120201211202000000212101111
41000222303002222132310
51040302303000112040
613241313451004404
7636032314526203
oct100526302523664
916654660025344
104444000004020
111463765169255
125b933a739704
132630b510c7c5
1411513b02523a
157a8ea611dea
hex40ab30aa7b4

4444000004020 has 24 divisors (see below), whose sum is σ = 9332490421800. Its totient is φ = 1777582780032.

The previous prime is 4444000003981. The next prime is 4444000004057. The reversal of 4444000004020 is 204000004444.

It can be written as a sum of positive squares in 4 ways, for example, as 1288324881936 + 3155675122084 = 1135044^2 + 1776422^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4444000003982 and 4444000004000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1152186 + ... + 3196174.

It is an arithmetic number, because the mean of its divisors is an integer number (388853767575).

Almost surely, 24444000004020 is an apocalyptic number.

It is an amenable number.

4444000004020 is an abundant number, since it is smaller than the sum of its proper divisors (4888490417780).

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

4444000004020 is a wasteful number, since it uses less digits than its factorization.

4444000004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152707 (or 2152705 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 4444000004020 its reverse (204000004444), we get a palindrome (4648000008464).

The spelling of 4444000004020 in words is "four trillion, four hundred forty-four billion, four thousand, twenty".

Divisors: 1 2 4 5 10 20 108709 217418 434836 543545 1087090 2043989 2174180 4087978 8175956 10219945 20439890 40879780 222200000201 444400000402 888800000804 1111000001005 2222000002010 4444000004020