Search a number
-
+
44991180000 = 2533541321729
BaseRepresentation
bin101001111001101011…
…101110110011100000
311022010111211202022000
4221321223232303200
51214120220230000
632400233044000
73151631501664
oct517153566340
9138114752260
1044991180000
1118098391498
128877556600
134320143700
14226b4148a4
151284c9a000
hexa79aeece0

44991180000 has 1440 divisors, whose sum is σ = 194489618400. Its totient is φ = 10063872000.

The previous prime is 44991179993. The next prime is 44991180001. The reversal of 44991180000 is 8119944.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44991180001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1551419986 + ... + 1551420014.

It is an arithmetic number, because the mean of its divisors is an integer number (135062235).

Almost surely, 244991180000 is an apocalyptic number.

44991180000 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 44991180000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97244809200).

44991180000 is an abundant number, since it is smaller than the sum of its proper divisors (149498438400).

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

44991180000 is a wasteful number, since it uses less digits than its factorization.

44991180000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Adding to 44991180000 its reverse (8119944), we get a palindrome (44999299944).

The spelling of 44991180000 in words is "forty-four billion, nine hundred ninety-one million, one hundred eighty thousand".