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4444044004404 = 2232123445666789
BaseRepresentation
bin100000010101011010110…
…1010100000110000110100
3120201211212001211022120100
41000222311222200300310
51040302400231120104
613241322102034100
7636033360525204
oct100526552406064
916654761738510
104444044004404
111463787a91404
125b9351418930
132630c1277134
14115142bda404
157a8ee404139
hex40ab5aa0c34

4444044004404 has 18 divisors (see below), whose sum is σ = 11233555677890. Its totient is φ = 1481348001456.

The previous prime is 4444044004399. The next prime is 4444044004453. The reversal of 4444044004404 is 4044004404444.

It can be written as a sum of positive squares in only one way, i.e., 2807461100304 + 1636582904100 = 1675548^2 + 1279290^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×44440440044042 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 123445666789 = 4444044004404 / (4 + 4 + 4 + 4 + 0 + 4 + 4 + 0 + 0 + 4 + 4 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61722833359 + ... + 61722833430.

Almost surely, 24444044004404 is an apocalyptic number.

It is an amenable number.

4444044004404 is an abundant number, since it is smaller than the sum of its proper divisors (6789511673486).

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

4444044004404 is a wasteful number, since it uses less digits than its factorization.

4444044004404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123445666799 (or 123445666794 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4444044004404 its reverse (4044004404444), we get a palindrome (8488048408848).

The spelling of 4444044004404 in words is "four trillion, four hundred forty-four billion, forty-four million, four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 123445666789 246891333578 370337000367 493782667156 740674000734 1111011001101 1481348001468 2222022002202 4444044004404