Base | Representation |
---|---|
bin | 1000011010000101010… |
… | …0011100011111110000 |
3 | 111210211022010012002020 |
4 | 2012201110130133300 |
5 | 4331303221142034 |
6 | 150204403151440 |
7 | 13302240150210 |
oct | 2064124343760 |
9 | 453738105066 |
10 | 144440412144 |
11 | 56290935546 |
12 | 23bb0975580 |
13 | 1080b8042c2 |
14 | 6dc3266240 |
15 | 3b5598e249 |
hex | 21a151c7f0 |
144440412144 has 160 divisors (see below), whose sum is σ = 453249561600. Its totient is φ = 38693031936.
The previous prime is 144440412119. The next prime is 144440412157. The reversal of 144440412144 is 441214044441.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 1454182 + ... + 1550330.
It is an arithmetic number, because the mean of its divisors is an integer number (2832809760).
Almost surely, 2144440412144 is an apocalyptic number.
144440412144 is a gapful number since it is divisible by the number (14) 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 144440412144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226624780800).
144440412144 is an abundant number, since it is smaller than the sum of its proper divisors (308809149456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144440412144 is a wasteful number, since it uses less digits than its factorization.
144440412144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 96447 (or 96441 counting only the distinct ones).
The product of its (nonzero) digits is 32768, while the sum is 33.
Adding to 144440412144 its reverse (441214044441), we get a palindrome (585654456585).
The spelling of 144440412144 in words is "one hundred forty-four billion, four hundred forty million, four hundred twelve thousand, one hundred forty-four".
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