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44361416344 = 23710115749957
BaseRepresentation
bin101001010100001001…
…010111111010011000
311020111121211102222011
4221110021113322120
51211323010310334
632213535035304
73130213550230
oct512411277230
9136447742864
1044361416344
11178a4954763
12872066bb34
13424c8265ab
14220b920cc0
15124984d564
hexa54257e98

44361416344 has 64 divisors (see below), whose sum is σ = 96614775360. Its totient is φ = 18703526400.

The previous prime is 44361416321. The next prime is 44361416387.

44361416344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44361416297 and 44361416306.

It is a congruent number.

It is an unprimeable number.

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, 863014 + ... + 912970.

It is an arithmetic number, because the mean of its divisors is an integer number (1509605865).

Almost surely, 244361416344 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 44361416344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48307387680).

44361416344 is an abundant number, since it is smaller than the sum of its proper divisors (52253359016).

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

44361416344 is a wasteful number, since it uses less digits than its factorization.

44361416344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50228 (or 50224 counting only the distinct ones).

The product of its digits is 331776, while the sum is 40.

The spelling of 44361416344 in words is "forty-four billion, three hundred sixty-one million, four hundred sixteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 101 157 202 314 404 628 707 808 1099 1256 1414 2198 2828 4396 5656 8792 15857 31714 49957 63428 99914 110999 126856 199828 221998 349699 399656 443996 699398 887992 1398796 2797592 5045657 7843249 10091314 15686498 20182628 31372996 35319599 40365256 54902743 62745992 70639198 109805486 141278396 219610972 282556792 439221944 792168149 1584336298 3168672596 5545177043 6337345192 11090354086 22180708172 44361416344