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444143700 = 223252711131729
BaseRepresentation
bin11010011110010…
…001100001010100
31010221201211121200
4122132101201110
51402200044300
6112023312500
714002105410
oct3236214124
91127654550
10444143700
11208786810
121048ab730
1371029230
1442db5d40
1528ed3200
hex1a791854

444143700 has 864 divisors, whose sum is σ = 2047368960. Its totient is φ = 77414400.

The previous prime is 444143669. The next prime is 444143701. The reversal of 444143700 is 7341444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444143701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15315286 + ... + 15315314.

It is an arithmetic number, because the mean of its divisors is an integer number (2369640).

Almost surely, 2444143700 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 444143700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023684480).

444143700 is an abundant number, since it is smaller than the sum of its proper divisors (1603225260).

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

444143700 is a wasteful number, since it uses less digits than its factorization.

444143700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 444143700 is about 21074.7170799515. The cubic root of 444143700 is about 762.9706563037.

The spelling of 444143700 in words is "four hundred forty-four million, one hundred forty-three thousand, seven hundred".