Base | Representation |
---|---|
bin | 100000110001100010010010… |
… | …001001100100001111001110 |
3 | 200220100210112202120121021000 |
4 | 200301202102021210033032 |
5 | 122343103400413410042 |
6 | 1230321414351521130 |
7 | 42234612043115064 |
oct | 4061422211441716 |
9 | 626323482517230 |
10 | 144141554435022 |
11 | 41a230a9796aa1 |
12 | 141bb722b291a6 |
13 | 625764b13c351 |
14 | 27846ba48c034 |
15 | 119e6bc8b674c |
hex | 8318922643ce |
144141554435022 has 128 divisors (see below), whose sum is σ = 343465557811200. Its totient is φ = 44646404774400.
The previous prime is 144141554434949. The next prime is 144141554435077. The reversal of 144141554435022 is 220534455141441.
144141554435022 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 4 + 1 + 554 + 43 + 50 + 2 + 2 = 666.
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 63 ways as a sum of consecutive naturals, for example, 2554269147 + ... + 2554325577.
It is an arithmetic number, because the mean of its divisors is an integer number (2683324670400).
Almost surely, 2144141554435022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144141554435022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171732778905600).
144141554435022 is an abundant number, since it is smaller than the sum of its proper divisors (199324003376178).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144141554435022 is a wasteful number, since it uses less digits than its factorization.
144141554435022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91759 (or 91753 counting only the distinct ones).
The product of its (nonzero) digits is 1536000, while the sum is 45.
It can be divided in two parts, 144141554 and 435022, that added together give a square (144576576 = 120242).
The spelling of 144141554435022 in words is "one hundred forty-four trillion, one hundred forty-one billion, five hundred fifty-four million, four hundred thirty-five thousand, twenty-two".
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