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1444321213300 = 2252771732571549
BaseRepresentation
bin10101000001001000010…
…000001011101101110100
312010002001020011201020101
4111001020100023231310
5142130432212311200
63023302332043444
7206230424515240
oct25011020135564
95102036151211
101444321213300
11507595742899
121b3b04303584
13a6277cc5384
144dc96a63420
15278841bb26a
hex1504840bb74

1444321213300 has 288 divisors, whose sum is σ = 3698838259200. Its totient is φ = 479349964800.

The previous prime is 1444321213219. The next prime is 1444321213303. The reversal of 1444321213300 is 33121234441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444321213303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 932420926 + ... + 932422474.

It is an arithmetic number, because the mean of its divisors is an integer number (12843188400).

Almost surely, 21444321213300 is an apocalyptic number.

1444321213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444321213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849419129600).

1444321213300 is an abundant number, since it is smaller than the sum of its proper divisors (2254517045900).

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

1444321213300 is a wasteful number, since it uses less digits than its factorization.

1444321213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1444321213300 its reverse (33121234441), we get a palindrome (1477442447741).

The spelling of 1444321213300 in words is "one trillion, four hundred forty-four billion, three hundred twenty-one million, two hundred thirteen thousand, three hundred".