Search a number
-
+
44370000000 = 2732571729
BaseRepresentation
bin101001010100101010…
…000111100010000000
311020112012222112112100
4221110222013202000
51211332210000000
632214443030400
73130346530404
oct512452074200
9136465875470
1044370000000
11178a9787797
12872350b400
134251540591
14220cb17104
15124a496a00
hexa54a87880

44370000000 has 768 divisors, whose sum is σ = 174814005600. Its totient is φ = 10752000000.

The previous prime is 44369999969. The next prime is 44370000023. The reversal of 44370000000 is 7344.

It can be written as a sum of positive squares in 16 ways, for example, as 44231137344 + 138862656 = 210312^2 + 11784^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 7250 × 850 × 7200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1529999986 + ... + 1530000014.

Almost surely, 244370000000 is an apocalyptic number.

44370000000 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 44370000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87407002800).

44370000000 is an abundant number, since it is smaller than the sum of its proper divisors (130444005600).

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

44370000000 is an frugal number, since it uses more digits than its factorization.

44370000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 44370000000 its reverse (7344), we get a palindrome (44370007344).

The spelling of 44370000000 in words is "forty-four billion, three hundred seventy million", and thus it is an aban number.