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44103371400 = 233352113143557
BaseRepresentation
bin101001000100110001…
…000000101010001000
311012211122021101212000
4221010301000222020
51210310430341100
632132200151000
73120631320504
oct510461005210
9135748241760
1044103371400
1117782226780
12866a168460
13420b22818a
1421c554d304
151231d7a900
hexa44c40a88

44103371400 has 768 divisors, whose sum is σ = 175360204800. Its totient is φ = 10088064000.

The previous prime is 44103371383. The next prime is 44103371423. The reversal of 44103371400 is 417330144.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79179922 + ... + 79180478.

It is an arithmetic number, because the mean of its divisors is an integer number (228333600).

Almost surely, 244103371400 is an apocalyptic number.

44103371400 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 44103371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87680102400).

44103371400 is an abundant number, since it is smaller than the sum of its proper divisors (131256833400).

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

44103371400 is a wasteful number, since it uses less digits than its factorization.

44103371400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 44103371400 in words is "forty-four billion, one hundred three million, three hundred seventy-one thousand, four hundred".