Base | Representation |
---|---|
bin | 100000010111001101001000… |
… | …101101111110010001011001 |
3 | 200122221211010122102020111100 |
4 | 200113031020231332101121 |
5 | 122123432211123430431 |
6 | 1222414252155222013 |
7 | 41660105100505041 |
oct | 4027151055762131 |
9 | 618854118366440 |
10 | 142332141233241 |
11 | 413957a4153603 |
12 | 13b68b0a147909 |
13 | 6155b2b96257b |
14 | 2720cab868721 |
15 | 116c5bb7614e6 |
hex | 817348b7e459 |
142332141233241 has 24 divisors (see below), whose sum is σ = 218308189062600. Its totient is φ = 89050549142016.
The previous prime is 142332141233063. The next prime is 142332141233291.
142332141233241 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 321 + 4 + 1 + 2 + 3 + 324 + 1 = 666.
142332141233241 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 4 ways, for example, as 105823912055625 + 36508229177616 = 10287075^2 + 6042204^2 .
It is not a de Polignac number, because 142332141233241 - 217 = 142332141102169 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 142332141233196 and 142332141233205.
It is not an unprimeable number, because it can be changed into a prime (142332141233291) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332719430 + ... + 1332826223.
It is an arithmetic number, because the mean of its divisors is an integer number (9096174544275).
Almost surely, 2142332141233241 is an apocalyptic number.
It is an amenable number.
142332141233241 is a deficient number, since it is larger than the sum of its proper divisors (75976047829359).
142332141233241 is a wasteful number, since it uses less digits than its factorization.
142332141233241 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2665546025 (or 2665546022 counting only the distinct ones).
The product of its digits is 82944, while the sum is 36.
The spelling of 142332141233241 in words is "one hundred forty-two trillion, three hundred thirty-two billion, one hundred forty-one million, two hundred thirty-three thousand, two hundred forty-one".
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