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44244280080 = 243457111319359
BaseRepresentation
bin101001001101001010…
…100010001100010000
311020012110102022020000
4221031022202030100
51211103013430310
632154152250000
73124262114130
oct511512421420
9136173368200
1044244280080
1117844819530
1286a93a0900
134231492cb0
1421da14cac0
15123e4114c0
hexa4d2a2310

44244280080 has 1600 divisors, whose sum is σ = 217786060800. Its totient is φ = 8017367040.

The previous prime is 44244280039. The next prime is 44244280081. The reversal of 44244280080 is 8008244244.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44244280081) 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 319 ways as a sum of consecutive naturals, for example, 123242941 + ... + 123243299.

It is an arithmetic number, because the mean of its divisors is an integer number (136116288).

Almost surely, 244244280080 is an apocalyptic number.

44244280080 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 44244280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108893030400).

44244280080 is an abundant number, since it is smaller than the sum of its proper divisors (173541780720).

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

44244280080 is a wasteful number, since it uses less digits than its factorization.

44244280080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 44244280080 in words is "forty-four billion, two hundred forty-four million, two hundred eighty thousand, eighty".