Base | Representation |
---|---|
bin | 111111111001011… |
… | …0010011010011000 |
3 | 12112102100111200121 |
4 | 1333302302122120 |
5 | 13342332120440 |
6 | 552425443024 |
7 | 104062604344 |
oct | 17762623230 |
9 | 5472314617 |
10 | 2144020120 |
11 | a00275060 |
12 | 4ba040474 |
13 | 282261478 |
14 | 164a68624 |
15 | c836034a |
hex | 7fcb2698 |
2144020120 has 64 divisors (see below), whose sum is σ = 5286435840. Its totient is φ = 776112000.
The previous prime is 2144020111. The next prime is 2144020121. The reversal of 2144020120 is 210204412.
It is a junction number, because it is equal to n+sod(n) for n = 2144020094 and 2144020103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2144020121) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87195 + ... + 109045.
It is an arithmetic number, because the mean of its divisors is an integer number (82600560).
Almost surely, 22144020120 is an apocalyptic number.
2144020120 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 2144020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643217920).
2144020120 is an abundant number, since it is smaller than the sum of its proper divisors (3142415720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2144020120 is a wasteful number, since it uses less digits than its factorization.
2144020120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22096 (or 22092 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The square root of 2144020120 is about 46303.5648735602. The cubic root of 2144020120 is about 1289.4651790164.
Adding to 2144020120 its reverse (210204412), we get a palindrome (2354224532).
The spelling of 2144020120 in words is "two billion, one hundred forty-four million, twenty thousand, one hundred twenty".
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