Search a number
-
+
44122130000 = 245413379173
BaseRepresentation
bin101001000101111000…
…100100011001010000
311012212221120102210222
4221011320210121100
51210330231130000
632134110212212
73121246626344
oct510570443120
9135787512728
1044122130000
1117791879353
1286744b4068
134212095540
1421c7c33624
151233833a85
hexa45e24650

44122130000 has 200 divisors, whose sum is σ = 118163431848. Its totient is φ = 15849216000.

The previous prime is 44122129969. The next prime is 44122130009. The reversal of 44122130000 is 3122144.

It can be written as a sum of positive squares in 20 ways, for example, as 42855624256 + 1266505744 = 207016^2 + 35588^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44122130009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4805414 + ... + 4814586.

Almost surely, 244122130000 is an apocalyptic number.

44122130000 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 44122130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59081715924).

44122130000 is an abundant number, since it is smaller than the sum of its proper divisors (74041301848).

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

44122130000 is a wasteful number, since it uses less digits than its factorization.

44122130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9251 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 44122130000 its reverse (3122144), we get a palindrome (44125252144).

The spelling of 44122130000 in words is "forty-four billion, one hundred twenty-two million, one hundred thirty thousand".