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244210414240 = 255131072714049
BaseRepresentation
bin1110001101110000010…
…0110011001010100000
3212100100102222102112001
43203130010303022200
513000120331223430
6304104432413344
723433522161662
oct3433404631240
9770312872461
10244210414240
1194629459831
123b3b56a7254
131a04b7856c0
14bb69936532
1565448e63ca
hex38dc1332a0

244210414240 has 192 divisors, whose sum is σ = 629604057600. Its totient is φ = 88975687680.

The previous prime is 244210414199. The next prime is 244210414241. The reversal of 244210414240 is 42414012442.

It is a happy number.

244210414240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 244210414199 and 244210414208.

It is not an unprimeable number, because it can be changed into a prime (244210414241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60311736 + ... + 60315784.

It is an arithmetic number, because the mean of its divisors is an integer number (3279187800).

Almost surely, 2244210414240 is an apocalyptic number.

244210414240 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 244210414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314802028800).

244210414240 is an abundant number, since it is smaller than the sum of its proper divisors (385393643360).

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

244210414240 is a wasteful number, since it uses less digits than its factorization.

244210414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4455 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 244210414240 its reverse (42414012442), we get a palindrome (286624426682).

The spelling of 244210414240 in words is "two hundred forty-four billion, two hundred ten million, four hundred fourteen thousand, two hundred forty".