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244144122255264 = 2537111731331318917
BaseRepresentation
bin110111100000110000111011…
…101011100101011110100000
31012000102221122122200220201010
4313200300323223211132200
5224000024130244132024
62223130132243540520
7102265554642343620
oct6740607353453640
91160387578626633
10244144122255264
1170878a39209560
122347092468a740
13a62c8cc26c04a
1444408d2326880
151d35b3780bb29
hexde0c3bae57a0

244144122255264 has 768 divisors, whose sum is σ = 873618822365184. Its totient is φ = 57738048307200.

The previous prime is 244144122255263. The next prime is 244144122255289. The reversal of 244144122255264 is 462552221441442.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (244144122255263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12906060334 + ... + 12906079250.

It is an arithmetic number, because the mean of its divisors is an integer number (1137524508288).

Almost surely, 2244144122255264 is an apocalyptic number.

244144122255264 is a gapful number since it is divisible by the number (24) 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 244144122255264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436809411182592).

244144122255264 is an abundant number, since it is smaller than the sum of its proper divisors (629474700109920).

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

244144122255264 is a wasteful number, since it uses less digits than its factorization.

244144122255264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22309 (or 22301 counting only the distinct ones).

The product of its digits is 4915200, while the sum is 48.

The spelling of 244144122255264 in words is "two hundred forty-four trillion, one hundred forty-four billion, one hundred twenty-two million, two hundred fifty-five thousand, two hundred sixty-four".