Base | Representation |
---|---|
bin | 111111110100000… |
… | …0101010110111100 |
3 | 12112020001221121102 |
4 | 1333220011112330 |
5 | 13341122323030 |
6 | 552245352232 |
7 | 104030006552 |
oct | 17750052674 |
9 | 5466057542 |
10 | 2141214140 |
11 | 9a972896a |
12 | 4b9108678 |
13 | 2817bb220 |
14 | 164537bd2 |
15 | c7ea8c45 |
hex | 7fa055bc |
2141214140 has 96 divisors (see below), whose sum is σ = 4967452224. Its totient is φ = 770457600.
The previous prime is 2141214091. The next prime is 2141214149. The reversal of 2141214140 is 414121412.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2141214149) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1758812 + ... + 1760028.
It is an arithmetic number, because the mean of its divisors is an integer number (51744294).
Almost surely, 22141214140 is an apocalyptic number.
2141214140 is a gapful number since it is divisible by the number (20) 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 2141214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2483726112).
2141214140 is an abundant number, since it is smaller than the sum of its proper divisors (2826238084).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2141214140 is a wasteful number, since it uses less digits than its factorization.
2141214140 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1407 (or 1405 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 20.
The square root of 2141214140 is about 46273.2551264767. The cubic root of 2141214140 is about 1288.9024055206.
Adding to 2141214140 its reverse (414121412), we get a palindrome (2555335552).
The spelling of 2141214140 in words is "two billion, one hundred forty-one million, two hundred fourteen thousand, one hundred forty".
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