Base | Representation |
---|---|
bin | 1000001101101110101… |
… | …1000001010000110100 |
3 | 111111021012112102000100 |
4 | 2003123223001100310 |
5 | 4303010324104030 |
6 | 144455350314100 |
7 | 13124123646234 |
oct | 2033353012064 |
9 | 444235472010 |
10 | 141124441140 |
11 | 5493a082441 |
12 | 23426358930 |
13 | 1040081c697 |
14 | 6b8aacdcc4 |
15 | 3a0e7d4360 |
hex | 20dbac1434 |
141124441140 has 144 divisors (see below), whose sum is σ = 438718971600. Its totient is φ = 36698511360.
The previous prime is 141124441091. The next prime is 141124441147. The reversal of 141124441140 is 41144421141.
141124441140 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 244 + 411 + 4 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 55904819364 + 85219621776 = 236442^2 + 291924^2 .
It is a super-2 number, since 2×1411244411402 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (141124441147) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32093422 + ... + 32097818.
It is an arithmetic number, because the mean of its divisors is an integer number (3046659525).
Almost surely, 2141124441140 is an apocalyptic number.
141124441140 is a gapful number since it is divisible by the number (10) 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 141124441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219359485800).
141124441140 is an abundant number, since it is smaller than the sum of its proper divisors (297594530460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141124441140 is a wasteful number, since it uses less digits than its factorization.
141124441140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8802 (or 8797 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 27.
Adding to 141124441140 its reverse (41144421141), we get a palindrome (182268862281).
The spelling of 141124441140 in words is "one hundred forty-one billion, one hundred twenty-four million, four hundred forty-one thousand, one hundred forty".
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