Base | Representation |
---|---|
bin | 100000110100001010101001… |
… | …010101101001000111010000 |
3 | 200221000002011110122122120211 |
4 | 200310022221111221013100 |
5 | 122404034114004244440 |
6 | 1230540433012413504 |
7 | 42253641634001113 |
oct | 4064125125510720 |
9 | 627002143578524 |
10 | 144322332103120 |
11 | 41a92836aa6786 |
12 | 1422a775017294 |
13 | 626b6cac17b22 |
14 | 278d34967c57a |
15 | 11a424d4d4eea |
hex | 8342a95691d0 |
144322332103120 has 40 divisors (see below), whose sum is σ = 336283666037064. Its totient is φ = 57602611310592.
The previous prime is 144322332103111. The next prime is 144322332103129. The reversal of 144322332103120 is 21301233223441.
144322332103120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (144322332103111) and next prime (144322332103129).
It can be written as a sum of positive squares in 4 ways, for example, as 69861379489344 + 74460952613776 = 8358312^2 + 8629076^2 .
It is a tau number, because it is divible by the number of its divisors (40).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144322332103129) 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 7 ways as a sum of consecutive naturals, for example, 1973737129 + ... + 1973810248.
Almost surely, 2144322332103120 is an apocalyptic number.
144322332103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
144322332103120 is an abundant number, since it is smaller than the sum of its proper divisors (191961333933944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144322332103120 is a wasteful number, since it uses less digits than its factorization.
144322332103120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3947547847 (or 3947547841 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 31.
Adding to 144322332103120 its reverse (21301233223441), we get a palindrome (165623565326561).
The spelling of 144322332103120 in words is "one hundred forty-four trillion, three hundred twenty-two billion, three hundred thirty-two million, one hundred three thousand, one hundred twenty".
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