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44484048444 = 22311317173947
BaseRepresentation
bin101001011011011101…
…001011011000111100
311020211011120210120210
4221123131023120330
51212100404022234
632234035312420
73133233113223
oct513335133074
9136734523523
1044484048444
11179580a4000
12875574b710
13426c062574
14221dd23cba
1512554c3be9
hexa5b74b63c

44484048444 has 192 divisors, whose sum is σ = 121710822912. Its totient is φ = 12600417280.

The previous prime is 44484048439. The next prime is 44484048451.

44484048444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444840484442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44484048393 and 44484048402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46973179 + ... + 46974125.

It is an arithmetic number, because the mean of its divisors is an integer number (633910536).

Almost surely, 244484048444 is an apocalyptic number.

44484048444 is a gapful number since it is divisible by the number (44) 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 44484048444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60855411456).

44484048444 is an abundant number, since it is smaller than the sum of its proper divisors (77226774468).

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

44484048444 is a wasteful number, since it uses less digits than its factorization.

44484048444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 4194304, while the sum is 48.

Multiplying 44484048444 by its sum of digits (48), we get a palindrome (2135234325312).

The spelling of 44484048444 in words is "forty-four billion, four hundred eighty-four million, forty-eight thousand, four hundred forty-four".