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244424001000 = 233534111711697
BaseRepresentation
bin1110001110100011001…
…1100100010111101000
3212100220022212202110210
43203220303210113220
513001040021013000
6304141542341120
723442024504624
oct3435063442750
9770808782423
10244424001000
1194728a81713
123b45512a7a0
131a083ab8cba
14bb8a054184
156558536350
hex38e8ce45e8

244424001000 has 256 divisors, whose sum is σ = 782330814720. Its totient is φ = 63498240000.

The previous prime is 244424000963. The next prime is 244424001007. The reversal of 244424001000 is 100424442.

244424001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (244424001007) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 144032152 + ... + 144033848.

It is an arithmetic number, because the mean of its divisors is an integer number (3055979745).

Almost surely, 2244424001000 is an apocalyptic number.

244424001000 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 244424001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391165407360).

244424001000 is an abundant number, since it is smaller than the sum of its proper divisors (537906813720).

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

244424001000 is a wasteful number, since it uses less digits than its factorization.

244424001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 244424001000 its reverse (100424442), we get a palindrome (244524425442).

The spelling of 244424001000 in words is "two hundred forty-four billion, four hundred twenty-four million, one thousand".