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40444004440 = 2357144442873
BaseRepresentation
bin100101101010101001…
…101000100001011000
310212101121112022002101
4211222221220201120
51130312131120230
630325115213144
72631145236250
oct455251504130
9125347468071
1040444004440
111617464a164
127a087471b4
133a77060298
141d59548960
1510ba98daca
hex96aa68858

40444004440 has 32 divisors (see below), whose sum is σ = 103998869280. Its totient is φ = 13866515712.

The previous prime is 40444004413. The next prime is 40444004441. The reversal of 40444004440 is 4440044404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40444004399 and 40444004408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40444004441) 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, 72221157 + ... + 72221716.

It is an arithmetic number, because the mean of its divisors is an integer number (3249964665).

Almost surely, 240444004440 is an apocalyptic number.

40444004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40444004440 is an abundant number, since it is smaller than the sum of its proper divisors (63554864840).

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

40444004440 is a wasteful number, since it uses less digits than its factorization.

40444004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144442891 (or 144442887 counting only the distinct ones).

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

Adding to 40444004440 its reverse (4440044404), we get a palindrome (44884048844).

The spelling of 40444004440 in words is "forty billion, four hundred forty-four million, four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 144442873 288885746 577771492 722214365 1011100111 1155542984 1444428730 2022200222 2888857460 4044400444 5055500555 5777714920 8088800888 10111001110 20222002220 40444004440