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44022121440 = 253511192319079
BaseRepresentation
bin101000111111111011…
…000100001111100000
311012121222101110212020
4220333323010033200
51210124130341230
632120134501440
73115623600243
oct507773041740
9135558343766
1044022121440
1117740381450
128646b04880
1341c744ab8b
1421b883d25a
151229b7b810
hexa3fec43e0

44022121440 has 384 divisors, whose sum is σ = 166170009600. Its totient is φ = 9670256640.

The previous prime is 44022121399. The next prime is 44022121453. The reversal of 44022121440 is 4412122044.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44022121440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2297821 + ... + 2316899.

It is an arithmetic number, because the mean of its divisors is an integer number (432734400).

Almost surely, 244022121440 is an apocalyptic number.

44022121440 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 44022121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83085004800).

44022121440 is an abundant number, since it is smaller than the sum of its proper divisors (122147888160).

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

44022121440 is a wasteful number, since it uses less digits than its factorization.

44022121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19150 (or 19142 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 44022121440 its reverse (4412122044), we get a palindrome (48434243484).

The spelling of 44022121440 in words is "forty-four billion, twenty-two million, one hundred twenty-one thousand, four hundred forty".