Search a number
-
+
244909980000 = 253554723313
BaseRepresentation
bin1110010000010111000…
…1011011100101100000
3212102011012100001100000
43210011301123211200
513003033423330000
6304302102500000
723460045324210
oct3440561334540
9772135301300
10244909980000
1194958331954
123b56ba34600
131a1306a223a
14bbd47da240
156586030000
hex3905c5b960

244909980000 has 1440 divisors, whose sum is σ = 1079751568896. Its totient is φ = 53374464000.

The previous prime is 244909979999. The next prime is 244909980017. The reversal of 244909980000 is 89909442.

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 (45).

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 239 ways as a sum of consecutive naturals, for example, 782459844 + ... + 782460156.

Almost surely, 2244909980000 is an apocalyptic number.

244909980000 is a gapful number since it is divisible by the number (20) 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 244909980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539875784448).

244909980000 is an abundant number, since it is smaller than the sum of its proper divisors (834841588896).

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

244909980000 is an equidigital number, since it uses as much as digits as its factorization.

244909980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 244909980000 in words is "two hundred forty-four billion, nine hundred nine million, nine hundred eighty thousand".