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4418440448144 = 24276152528009
BaseRepresentation
bin100000001001011111110…
…0100101100100010010000
3120122101202201012220012212
41000102333210230202100
51034342431223320034
613221445321011252
7634136034063452
oct100227744544220
916571681186185
104418440448144
111453939498658
125b43a6923b28
1326087099b448
14113bd46222d2
1579e017602ce
hex404bf92c890

4418440448144 has 10 divisors (see below), whose sum is σ = 8560728368310. Its totient is φ = 2209220224064.

The previous prime is 4418440448131. The next prime is 4418440448183.

4418440448144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3343046560000 + 1075393888144 = 1828400^2 + 1037012^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4418440448092 and 4418440448101.

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 as a sum of consecutive naturals, namely, 138076263989 + ... + 138076264020.

It is an arithmetic number, because the mean of its divisors is an integer number (856072836831).

Almost surely, 24418440448144 is an apocalyptic number.

It is an amenable number.

4418440448144 is a deficient number, since it is larger than the sum of its proper divisors (4142287920166).

4418440448144 is a wasteful number, since it uses less digits than its factorization.

4418440448144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276152528017 (or 276152528011 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 50.

The spelling of 4418440448144 in words is "four trillion, four hundred eighteen billion, four hundred forty million, four hundred forty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 276152528009 552305056018 1104610112036 2209220224072 4418440448144