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44141402200 = 23527233144221
BaseRepresentation
bin101001000111000010…
…000101100001011000
311012221021211120022011
4221013002011201120
51210400144332300
632140035235304
73121602504460
oct510702054130
9135837746264
1044141402200
11177a1741895
12867aa48b34
1342160825cc
1421ca60cba0
15123538deba
hexa47085858

44141402200 has 192 divisors, whose sum is σ = 126340485120. Its totient is φ = 14008896000.

The previous prime is 44141402189. The next prime is 44141402203. The reversal of 44141402200 is 220414144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44141402203) 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 47 ways as a sum of consecutive naturals, for example, 976090 + ... + 1020310.

It is an arithmetic number, because the mean of its divisors is an integer number (658023360).

Almost surely, 244141402200 is an apocalyptic number.

44141402200 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 44141402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63170242560).

44141402200 is an abundant number, since it is smaller than the sum of its proper divisors (82199082920).

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

44141402200 is a wasteful number, since it uses less digits than its factorization.

44141402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44298 (or 44289 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 44141402200 its reverse (220414144), we get a palindrome (44361816344).

The spelling of 44141402200 in words is "forty-four billion, one hundred forty-one million, four hundred two thousand, two hundred".