Base | Representation |
---|---|
bin | 10000110101100… |
… | …11111110000000 |
3 | 100211210001112210 |
4 | 20122303332000 |
5 | 242124340321 |
6 | 22003222120 |
7 | 3333400620 |
oct | 1032637600 |
9 | 324701483 |
10 | 141246336 |
11 | 72803510 |
12 | 3b377940 |
13 | 2335571a |
14 | 14a8a880 |
15 | c600b76 |
hex | 86b3f80 |
141246336 has 256 divisors, whose sum is σ = 497041920. Its totient is φ = 34406400.
The previous prime is 141246331. The next prime is 141246349. The reversal of 141246336 is 633642141.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (141246331) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502516 + ... + 502796.
It is an arithmetic number, because the mean of its divisors is an integer number (1941570).
Almost surely, 2141246336 is an apocalyptic number.
141246336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 141246336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248520960).
141246336 is an abundant number, since it is smaller than the sum of its proper divisors (355795584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141246336 is a wasteful number, since it uses less digits than its factorization.
141246336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 333 (or 321 counting only the distinct ones).
The product of its digits is 10368, while the sum is 30.
The square root of 141246336 is about 11884.7101773665. The cubic root of 141246336 is about 520.7857155456.
Adding to 141246336 its reverse (633642141), we get a palindrome (774888477).
The spelling of 141246336 in words is "one hundred forty-one million, two hundred forty-six thousand, three hundred thirty-six".
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