| Base | Representation |
|---|---|
| bin | 111111110011110… |
| … | …1010011110100000 |
| 3 | 12112012212100120100 |
| 4 | 1333213222132200 |
| 5 | 13341110312112 |
| 6 | 552243142400 |
| 7 | 104026040544 |
| oct | 17747523640 |
| 9 | 5465770510 |
| 10 | 2141104032 |
| 11 | 9a9663171 |
| 12 | 4b9074a00 |
| 13 | 281780082 |
| 14 | 164509a24 |
| 15 | c7e862dc |
| hex | 7f9ea7a0 |
2141104032 has 144 divisors (see below), whose sum is σ = 6655364352. Its totient is φ = 650004480.
The previous prime is 2141104027. The next prime is 2141104037. The reversal of 2141104032 is 2304011412.
It is an interprime number because it is at equal distance from previous prime (2141104027) and next prime (2141104037).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2141103996 and 2141104014.
It is not an unprimeable number, because it can be changed into a prime (2141104037) 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 23 ways as a sum of consecutive naturals, for example, 144723 + ... + 158829.
It is an arithmetic number, because the mean of its divisors is an integer number (46217808).
Almost surely, 22141104032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2141104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3327682176).
2141104032 is an abundant number, since it is smaller than the sum of its proper divisors (4514260320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2141104032 is a wasteful number, since it uses less digits than its factorization.
2141104032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14171 (or 14160 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2141104032 is about 46272.0653526509. The cubic root of 2141104032 is about 1288.8803119965.
Adding to 2141104032 its reverse (2304011412), we get a palindrome (4445115444).
The spelling of 2141104032 in words is "two billion, one hundred forty-one million, one hundred four thousand, thirty-two".
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