Base | Representation |
---|---|
bin | 1110001101011011000… |
… | …1110001011111000000 |
3 | 212100010020202011201200 |
4 | 3203112301301133000 |
5 | 12444430103244134 |
6 | 304051535501200 |
7 | 23431362600000 |
oct | 3432661613700 |
9 | 770106664650 |
10 | 244121540544 |
11 | 945932776a2 |
12 | 3b38b987800 |
13 | 1a03623930b |
14 | bb5bc00000 |
15 | 653bbdd499 |
hex | 38d6c717c0 |
244121540544 has 504 divisors, whose sum is σ = 826672025088. Its totient is φ = 68872204800.
The previous prime is 244121540539. The next prime is 244121540627. The reversal of 244121540544 is 445045121442.
244121540544 is a `hidden beast` number, since 2 + 4 + 41 + 21 + 54 + 0 + 544 = 666.
244121540544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (504).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 244121540499 and 244121540508.
It is a congruent number.
It is an unprimeable number.
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 71 ways as a sum of consecutive naturals, for example, 1461805549 + ... + 1461805715.
It is an arithmetic number, because the mean of its divisors is an integer number (1640222272).
Almost surely, 2244121540544 is an apocalyptic number.
244121540544 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 244121540544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413336012544).
244121540544 is an abundant number, since it is smaller than the sum of its proper divisors (582550484544).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
244121540544 is an equidigital number, since it uses as much as digits as its factorization.
244121540544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 371 (or 330 counting only the distinct ones).
The product of its (nonzero) digits is 102400, while the sum is 36.
Adding to 244121540544 its reverse (445045121442), we get a palindrome (689166661986).
The spelling of 244121540544 in words is "two hundred forty-four billion, one hundred twenty-one million, five hundred forty thousand, five hundred forty-four".
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