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244444113144 = 2333711101145517
BaseRepresentation
bin1110001110101000000…
…0010010100011111000
3212100221201201120011000
43203222000102203320
513001110143110034
6304143541405000
723442360451620
oct3435200224370
9770851646130
10244444113144
1194739369220
123b45ba09760
131a08800b48a
14bb8c9ab880
15655a1aa599
hex38ea0128f8

244444113144 has 256 divisors, whose sum is σ = 854947353600. Its totient is φ = 62862912000.

The previous prime is 244444113083. The next prime is 244444113149. The reversal of 244444113144 is 441311444442.

244444113144 is a `hidden beast` number, since 2 + 4 + 44 + 441 + 131 + 44 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 244444113099 and 244444113108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244444113149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1607074 + ... + 1752590.

It is an arithmetic number, because the mean of its divisors is an integer number (3339638100).

Almost surely, 2244444113144 is an apocalyptic number.

244444113144 is a gapful number since it is divisible by the number (24) 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 244444113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427473676800).

244444113144 is an abundant number, since it is smaller than the sum of its proper divisors (610503240456).

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

244444113144 is a wasteful number, since it uses less digits than its factorization.

244444113144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145651 (or 145641 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 244444113144 its reverse (441311444442), we get a palindrome (685755557586).

The spelling of 244444113144 in words is "two hundred forty-four billion, four hundred forty-four million, one hundred thirteen thousand, one hundred forty-four".