Base | Representation |
---|---|
bin | 1110001101111000000… |
… | …1001010001111100000 |
3 | 212100102201022200211200 |
4 | 3203132001022033200 |
5 | 13000202202431444 |
6 | 304111555241200 |
7 | 23434366240560 |
oct | 3433601121740 |
9 | 770381280750 |
10 | 244243014624 |
11 | 946458a59a4 |
12 | 3b4045a9200 |
13 | 1a05545b17b |
14 | bb6ddc0da0 |
15 | 65476d5969 |
hex | 38de04a3e0 |
244243014624 has 144 divisors (see below), whose sum is σ = 796190129280. Its totient is φ = 69572701440.
The previous prime is 244243014623. The next prime is 244243014637. The reversal of 244243014624 is 426410342442.
244243014624 is a `hidden beast` number, since 2 + 4 + 4 + 24 + 3 + 0 + 1 + 4 + 624 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×2442430146242 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (244243014623) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484287 + ... + 850305.
It is an arithmetic number, because the mean of its divisors is an integer number (5529098120).
Almost surely, 2244243014624 is an apocalyptic number.
244243014624 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 244243014624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398095064640).
244243014624 is an abundant number, since it is smaller than the sum of its proper divisors (551947114656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
244243014624 is a wasteful number, since it uses less digits than its factorization.
244243014624 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 366373 (or 366362 counting only the distinct ones).
The product of its (nonzero) digits is 147456, while the sum is 36.
The spelling of 244243014624 in words is "two hundred forty-four billion, two hundred forty-three million, fourteen thousand, six hundred twenty-four".
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