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144404221104 = 2432111337918503
BaseRepresentation
bin1000011001111100101…
…0011000110010110000
3111210201210000111022100
42012133022120302300
54331214440033404
6150201031340400
713301320425033
oct2063712306260
9453653014270
10144404221104
11562724666a0
1223ba0821700
13108041723a0
146dbc52501a
153b526e0d39
hex219f298cb0

144404221104 has 240 divisors, whose sum is σ = 476062030080. Its totient is φ = 40284034560.

The previous prime is 144404221079. The next prime is 144404221109. The reversal of 144404221104 is 401122404441.

It is a happy number.

144404221104 is a `hidden beast` number, since 1 + 4 + 440 + 4 + 2 + 211 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (144404221109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7795117 + ... + 7813619.

It is an arithmetic number, because the mean of its divisors is an integer number (1983591792).

Almost surely, 2144404221104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144404221104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238031015040).

144404221104 is an abundant number, since it is smaller than the sum of its proper divisors (331657808976).

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

144404221104 is a wasteful number, since it uses less digits than its factorization.

144404221104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18920 (or 18911 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 144404221104 its reverse (401122404441), we get a palindrome (545526625545).

The spelling of 144404221104 in words is "one hundred forty-four billion, four hundred four million, two hundred twenty-one thousand, one hundred four".