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44004222240 = 25351131268843
BaseRepresentation
bin101000111110110110…
…110010010100100000
311012120201201002202220
4220332312302110200
51210110040102430
632114255111040
73115315501056
oct507666622440
9135521632686
1044004222240
1117731266520
128640b12480
1341c3821a34
1421b63001d6
1512282e3110
hexa3edb2520

44004222240 has 192 divisors, whose sum is σ = 156092977152. Its totient is φ = 10323532800.

The previous prime is 44004222239. The next prime is 44004222247. The reversal of 44004222240 is 4222240044.

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 44004222240.

It is not an unprimeable number, because it can be changed into a prime (44004222247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29259 + ... + 298101.

It is an arithmetic number, because the mean of its divisors is an integer number (812984256).

Almost surely, 244004222240 is an apocalyptic number.

44004222240 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 44004222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78046488576).

44004222240 is an abundant number, since it is smaller than the sum of its proper divisors (112088754912).

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

44004222240 is a wasteful number, since it uses less digits than its factorization.

44004222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268903 (or 268895 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44004222240 its reverse (4222240044), we get a palindrome (48226462284).

The spelling of 44004222240 in words is "forty-four billion, four million, two hundred twenty-two thousand, two hundred forty".