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44242301400 = 233521129972383
BaseRepresentation
bin101001001101000010…
…111111000111011000
311020012022200202222120
4221031002333013120
51211102012121100
632154042021240
73124236233313
oct511502770730
9136168622876
1044242301400
1117843697960
1286a87a7820
134230c4c48b
1421d9b9597a
15123e1700a0
hexa4d0bf1d8

44242301400 has 384 divisors, whose sum is σ = 156439987200. Its totient is φ = 10244505600.

The previous prime is 44242301393. The next prime is 44242301413. The reversal of 44242301400 is 410324244.

It is a happy number.

44242301400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18564609 + ... + 18566991.

It is an arithmetic number, because the mean of its divisors is an integer number (407395800).

Almost surely, 244242301400 is an apocalyptic number.

44242301400 is a gapful number since it is divisible by the number (40) 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 44242301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78219993600).

44242301400 is an abundant number, since it is smaller than the sum of its proper divisors (112197685800).

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

44242301400 is a wasteful number, since it uses less digits than its factorization.

44242301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2539 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 44242301400 its reverse (410324244), we get a palindrome (44652625644).

The spelling of 44242301400 in words is "forty-four billion, two hundred forty-two million, three hundred one thousand, four hundred".