Base | Representation |
---|---|
bin | 10000111010001… |
… | …00010101001010 |
3 | 100212220002200000 |
4 | 20131010111022 |
5 | 242302301032 |
6 | 22024023430 |
7 | 3341412552 |
oct | 1035042512 |
9 | 325802600 |
10 | 141837642 |
11 | 730777a1 |
12 | 3b601b76 |
13 | 235018cb |
14 | 14ba2162 |
15 | c6bae7c |
hex | 874454a |
141837642 has 48 divisors (see below), whose sum is σ = 332579520. Its totient is φ = 45220032.
The previous prime is 141837629. The next prime is 141837643. The reversal of 141837642 is 246738141.
141837642 is a `hidden beast` number, since 1 + 4 + 1 + 8 + 3 + 7 + 642 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 141837597 and 141837606.
It is not an unprimeable number, because it can be changed into a prime (141837643) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4834 + ... + 17522.
It is an arithmetic number, because the mean of its divisors is an integer number (6928740).
Almost surely, 2141837642 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 141837642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166289760).
141837642 is an abundant number, since it is smaller than the sum of its proper divisors (190741878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141837642 is a wasteful number, since it uses less digits than its factorization.
141837642 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12729 (or 12717 counting only the distinct ones).
The product of its digits is 32256, while the sum is 36.
The square root of 141837642 is about 11909.5609490862. The cubic root of 141837642 is about 521.5114334747.
It can be divided in two parts, 1418 and 37642, that added together give a triangular number (39060 = T279).
The spelling of 141837642 in words is "one hundred forty-one million, eight hundred thirty-seven thousand, six hundred forty-two".
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