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44440004440 = 23513751113797
BaseRepresentation
bin101001011000110101…
…001010011101011000
311020201002201010120101
4221120311022131120
51212003120120230
632225423305144
73132156543106
oct513065123530
9136632633511
1044440004440
11179352510a7
128742a4b1b4
134262bb1120
14221813ac76
1512516c3aca
hexa58d4a758

44440004440 has 64 divisors (see below), whose sum is σ = 107825880960. Its totient is φ = 16386624000.

The previous prime is 44440004377. The next prime is 44440004447. The reversal of 44440004440 is 4440004444.

It is a junction number, because it is equal to n+sod(n) for n = 44440004399 and 44440004408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44440004447) 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 15 ways as a sum of consecutive naturals, for example, 333622 + ... + 447418.

It is an arithmetic number, because the mean of its divisors is an integer number (1684779390).

Almost surely, 244440004440 is an apocalyptic number.

44440004440 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 44440004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53912940480).

44440004440 is an abundant number, since it is smaller than the sum of its proper divisors (63385876520).

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

44440004440 is a wasteful number, since it uses less digits than its factorization.

44440004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114572 (or 114568 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 44440004440 its reverse (4440004444), we get a palindrome (48880008884).

The spelling of 44440004440 in words is "forty-four billion, four hundred forty million, four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 751 1502 3004 3755 6008 7510 9763 15020 19526 30040 39052 48815 78104 97630 113797 195260 227594 390520 455188 568985 910376 1137970 1479361 2275940 2958722 4551880 5917444 7396805 11834888 14793610 29587220 59174440 85461547 170923094 341846188 427307735 683692376 854615470 1111000111 1709230940 2222000222 3418461880 4444000444 5555000555 8888000888 11110001110 22220002220 44440004440