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244012002000 = 24353133107173
BaseRepresentation
bin1110001101000000111…
…1111010101011010000
3212022211121122001002120
43203100033322223100
512444214033031000
6304033024014240
723425562536434
oct3432017725320
9768747561076
10244012002000
1194537460778
123b35b161380
131a019636000
14bb4b4489c4
1565322a26a0
hex38d03faad0

244012002000 has 640 divisors, whose sum is σ = 865159626240. Its totient is φ = 59159193600.

The previous prime is 244012001999. The next prime is 244012002049. The reversal of 244012002000 is 200210442.

244012002000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1410473914 + ... + 1410474086.

It is an arithmetic number, because the mean of its divisors is an integer number (1351811916).

Almost surely, 2244012002000 is an apocalyptic number.

244012002000 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 244012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432579813120).

244012002000 is an abundant number, since it is smaller than the sum of its proper divisors (621147624240).

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

244012002000 is a wasteful number, since it uses less digits than its factorization.

244012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 244012002000 its reverse (200210442), we get a palindrome (244212212442).

The spelling of 244012002000 in words is "two hundred forty-four billion, twelve million, two thousand".