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4040440404 = 22371113379091
BaseRepresentation
bin1111000011010100…
…0011101001010100
3101102120210122020220
43300311003221110
531233323043104
61504532354340
7202061114430
oct36065035124
911376718226
104040440404
1117937a5750
129491759b0
134c5110850
142a487d9c0
15189ab27d9
hexf0d43a54

4040440404 has 192 divisors, whose sum is σ = 13001705472. Its totient is φ = 942451200.

The previous prime is 4040440403. The next prime is 4040440409.

4040440404 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040440403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439899 + ... + 448989.

It is an arithmetic number, because the mean of its divisors is an integer number (67717216).

Almost surely, 24040440404 is an apocalyptic number.

4040440404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040440404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6500852736).

4040440404 is an abundant number, since it is smaller than the sum of its proper divisors (8961265068).

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

4040440404 is a wasteful number, since it uses less digits than its factorization.

4040440404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9166 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4040440404 is about 63564.4586541882. The cubic root of 4040440404 is about 1592.7327192232.

It can be divided in two parts, 40404 and 40404, that added together give a palindrome (80808).

The spelling of 4040440404 in words is "four billion, forty million, four hundred forty thousand, four hundred four".