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44432223444 = 223271929714507
BaseRepresentation
bin101001011000010111…
…011110110011010100
311020200120001211001100
4221120113132303110
51211444122122234
632224544430100
73132033445020
oct513027366324
9136616054040
1044432223444
1117930917124
128740318330
1342613b859b
1422170b3380
151250b88399
hexa585decd4

44432223444 has 288 divisors, whose sum is σ = 141774796800. Its totient is φ = 11445960960.

The previous prime is 44432223443. The next prime is 44432223449.

44432223444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444322234442 (a number of 22 digits) contains 22 as substring.

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 = 44432223399 and 44432223408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44432223443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9856239 + ... + 9860745.

It is an arithmetic number, because the mean of its divisors is an integer number (492273600).

Almost surely, 244432223444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44432223444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70887398400).

44432223444 is an abundant number, since it is smaller than the sum of its proper divisors (97342573356).

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

44432223444 is a wasteful number, since it uses less digits than its factorization.

44432223444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4638 counting only the distinct ones).

The product of its digits is 294912, while the sum is 36.

The spelling of 44432223444 in words is "forty-four billion, four hundred thirty-two million, two hundred twenty-three thousand, four hundred forty-four".