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14044476628 = 227413217509
BaseRepresentation
bin11010001010001110…
…11011010011010100
31100020210011100001001
431011013123103110
5212230341223003
610241341513044
71005015040000
oct150507332324
940223140031
1014044476628
115a57817186
12287b572784
13142a8b2200
14973373700
15572ebb61d
hex3451db4d4

14044476628 has 180 divisors, whose sum is σ = 32938583580. Its totient is φ = 5218956288.

The previous prime is 14044476599. The next prime is 14044476631. The reversal of 14044476628 is 82667444041.

14044476628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 76073284 + 13968403344 = 8722^2 + 118188^2 .

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 59 ways as a sum of consecutive naturals, for example, 27592038 + ... + 27592546.

It is an arithmetic number, because the mean of its divisors is an integer number (182992131).

Almost surely, 214044476628 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 14044476628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16469291790).

14044476628 is an abundant number, since it is smaller than the sum of its proper divisors (18894106952).

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

14044476628 is a wasteful number, since it uses less digits than its factorization.

14044476628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

The spelling of 14044476628 in words is "fourteen billion, forty-four million, four hundred seventy-six thousand, six hundred twenty-eight".