Base | Representation |
---|---|
bin | 1000011000110001110… |
… | …1101101100010001010 |
3 | 111202220220201210212110 |
4 | 2012030131231202022 |
5 | 4330044133112230 |
6 | 150105543523150 |
7 | 13260461131455 |
oct | 2061435554212 |
9 | 452826653773 |
10 | 144090519690 |
11 | 56121384127 |
12 | 23b137594b6 |
13 | 10784188050 |
14 | 6d8c9c649c |
15 | 3b34dc74b0 |
hex | 218c76d88a |
144090519690 has 128 divisors (see below), whose sum is σ = 395674191360. Its totient is φ = 33319738368.
The previous prime is 144090519611. The next prime is 144090519701. The reversal of 144090519690 is 96915090441.
It is a happy number.
It is a super-2 number, since 2×1440905196902 (a number of 23 digits) contains 22 as substring.
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 63 ways as a sum of consecutive naturals, for example, 246307 + ... + 590633.
It is an arithmetic number, because the mean of its divisors is an integer number (3091204620).
Almost surely, 2144090519690 is an apocalyptic number.
144090519690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 144090519690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197837095680).
144090519690 is an abundant number, since it is smaller than the sum of its proper divisors (251583671670).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144090519690 is a wasteful number, since it uses less digits than its factorization.
144090519690 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 344416.
The product of its (nonzero) digits is 349920, while the sum is 48.
The spelling of 144090519690 in words is "one hundred forty-four billion, ninety million, five hundred nineteen thousand, six hundred ninety".
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