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44144314144 = 257701281131
BaseRepresentation
bin101001000111001101…
…001100011100100000
311012221111022111201221
4221013031030130200
51210401421023034
632140221504424
73121636323220
oct510715143440
9135844274657
1044144314144
11177a3350657
12867ba12114
134216861b58
1421cab6a080
151235766bb4
hexa4734c720

44144314144 has 48 divisors (see below), whose sum is σ = 99466750656. Its totient is φ = 18891936000.

The previous prime is 44144314129. The next prime is 44144314153. The reversal of 44144314144 is 44141344144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16459 + ... + 297589.

It is an arithmetic number, because the mean of its divisors is an integer number (2072223972).

Almost surely, 244144314144 is an apocalyptic number.

It is an amenable number.

44144314144 is an abundant number, since it is smaller than the sum of its proper divisors (55322436512).

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

44144314144 is a wasteful number, since it uses less digits than its factorization.

44144314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281849 (or 281841 counting only the distinct ones).

The product of its digits is 49152, while the sum is 34.

Adding to 44144314144 its reverse (44141344144), we get a palindrome (88285658288).

The spelling of 44144314144 in words is "forty-four billion, one hundred forty-four million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 701 1402 2804 4907 5608 9814 11216 19628 22432 39256 78512 157024 281131 562262 1124524 1967917 2249048 3935834 4498096 7871668 8996192 15743336 31486672 62973344 197072831 394145662 788291324 1379509817 1576582648 2759019634 3153165296 5518039268 6306330592 11036078536 22072157072 44144314144