Base | Representation |
---|---|
bin | 1000011010110111101… |
… | …0010110011100001010 |
3 | 111211101000122110210100 |
4 | 2012231322112130022 |
5 | 4332221312103102 |
6 | 150241351230230 |
7 | 13310413645113 |
oct | 2065572263412 |
9 | 454330573710 |
10 | 144651675402 |
11 | 5638a110783 |
12 | 2404b678376 |
13 | 10843503150 |
14 | 700333b20a |
15 | 3b692c0a1c |
hex | 21ade9670a |
144651675402 has 96 divisors (see below), whose sum is σ = 339720086160. Its totient is φ = 44219105280.
The previous prime is 144651675397. The next prime is 144651675409. The reversal of 144651675402 is 204576156441.
144651675402 is a `hidden beast` number, since 1 + 4 + 46 + 5 + 1 + 67 + 540 + 2 = 666.
144651675402 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 137508214041 + 7143461361 = 370821^2 + 84519^2 .
It is not an unprimeable number, because it can be changed into a prime (144651675409) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 24593502 + ... + 24599382.
Almost surely, 2144651675402 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144651675402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169860043080).
144651675402 is an abundant number, since it is smaller than the sum of its proper divisors (195068410758).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144651675402 is a wasteful number, since it uses less digits than its factorization.
144651675402 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6568 (or 6565 counting only the distinct ones).
The product of its (nonzero) digits is 806400, while the sum is 45.
The spelling of 144651675402 in words is "one hundred forty-four billion, six hundred fifty-one million, six hundred seventy-five thousand, four hundred two".
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