Search a number
-
+
44361336000 = 263532337933
BaseRepresentation
bin101001010100001001…
…000100010011000000
311020111121200100202110
4221110021010103000
51211323000223000
632213533215320
73130213064052
oct512411042300
9136447610673
1044361336000
11178a48aa363
128720631540
13424c7c8b57
14220b8dd8d2
151249834850
hexa542444c0

44361336000 has 224 divisors, whose sum is σ = 147128349888. Its totient is φ = 11777433600.

The previous prime is 44361335969. The next prime is 44361336029. The reversal of 44361336000 is 63316344.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5588034 + ... + 5595966.

Almost surely, 244361336000 is an apocalyptic number.

44361336000 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 44361336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73564174944).

44361336000 is an abundant number, since it is smaller than the sum of its proper divisors (102767013888).

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

44361336000 is a wasteful number, since it uses less digits than its factorization.

44361336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196 (or 8176 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 44361336000 in words is "forty-four billion, three hundred sixty-one million, three hundred thirty-six thousand".