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4040444421 = 3213127271919
BaseRepresentation
bin1111000011010100…
…0100101000000101
3101102120210211202200
43300311010220011
531233323210141
61504532425113
7202061132226
oct36065045005
911376724680
104040444421
1117937a8772
12949178199
134c5112620
142a488124d
15189ab3ab6
hexf0d44a05

4040444421 has 24 divisors (see below), whose sum is σ = 6334648320. Its totient is φ = 2466840096.

The previous prime is 4040444413. The next prime is 4040444461. The reversal of 4040444421 is 1244440404.

4040444421 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4040444421 - 23 = 4040444413 is a prime.

It is a super-2 number, since 2×40404444212 = 32650382238380050482, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4040444461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121101 + ... + 150818.

It is an arithmetic number, because the mean of its divisors is an integer number (263943680).

Almost surely, 24040444421 is an apocalyptic number.

It is an amenable number.

4040444421 is a deficient number, since it is larger than the sum of its proper divisors (2294203899).

4040444421 is a wasteful number, since it uses less digits than its factorization.

4040444421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272065 (or 272062 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4040444421 is about 63564.4902520267. The cubic root of 4040444421 is about 1592.7332470539.

Adding to 4040444421 its reverse (1244440404), we get a palindrome (5284884825).

The spelling of 4040444421 in words is "four billion, forty million, four hundred forty-four thousand, four hundred twenty-one".

Divisors: 1 3 9 13 39 117 127 381 1143 1651 4953 14859 271919 815757 2447271 3534947 10604841 31814523 34533713 103601139 310803417 448938269 1346814807 4040444421