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244122414000 = 243531723104059
BaseRepresentation
bin1110001101011011010…
…1000110101110110000
3212100010022101112212220
43203112311012232300
512444430314222000
6304052010321040
723431403165343
oct3432665065660
9770108345786
10244122414000
1194593813963
123b390129180
131a036483a5a
14bb5bd8a45a
15653bd121a0
hex38d6d46bb0

244122414000 has 320 divisors, whose sum is σ = 869588628480. Its totient is φ = 58605465600.

The previous prime is 244122413939. The next prime is 244122414077. The reversal of 244122414000 is 414221442.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2293971 + ... + 2398029.

It is an arithmetic number, because the mean of its divisors is an integer number (2717464464).

Almost surely, 2244122414000 is an apocalyptic number.

244122414000 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 244122414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434794314240).

244122414000 is an abundant number, since it is smaller than the sum of its proper divisors (625466214480).

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

244122414000 is a wasteful number, since it uses less digits than its factorization.

244122414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104125 (or 104109 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 244122414000 its reverse (414221442), we get a palindrome (244536635442).

The spelling of 244122414000 in words is "two hundred forty-four billion, one hundred twenty-two million, four hundred fourteen thousand".