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14400004444 = 2277152113903
BaseRepresentation
bin11010110100100111…
…01010000101011100
31101011120011000111221
431122103222011130
5213442400120234
610340522023124
71016563006150
oct153223520534
941146130457
1014400004444
11611a477521
12295a647aa4
1314864524b7
149a867d060
155942e7eb4
hex35a4ea15c

14400004444 has 48 divisors (see below), whose sum is σ = 29263804416. Its totient is φ = 6072393600.

The previous prime is 14400004439. The next prime is 14400004457. The reversal of 14400004444 is 44440000441.

It is a happy number.

14400004444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

14400004444 is a modest number, since divided by 4444 gives 144 as remainder.

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 15 ways as a sum of consecutive naturals, for example, 1028797 + ... + 1042699.

It is an arithmetic number, because the mean of its divisors is an integer number (609662592).

Almost surely, 214400004444 is an apocalyptic number.

14400004444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14400004444 is an abundant number, since it is smaller than the sum of its proper divisors (14863799972).

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

14400004444 is a wasteful number, since it uses less digits than its factorization.

14400004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14506 (or 14504 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 14400004444 its reverse (44440000441), we get a palindrome (58840004885).

The spelling of 14400004444 in words is "fourteen billion, four hundred million, four thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 71 142 284 497 521 994 1042 1988 2084 3647 7294 13903 14588 27806 36991 55612 73982 97321 147964 194642 258937 389284 517874 987113 1035748 1974226 3948452 6909791 7243463 13819582 14486926 27639164 28973852 50704241 101408482 202816964 514285873 1028571746 2057143492 3600001111 7200002222 14400004444