Base | Representation |
---|---|
bin | 1110111101000100… |
… | …0100111001010000 |
3 | 101100202111001212200 |
4 | 3233101010321100 |
5 | 31210120343440 |
6 | 1502154523200 |
7 | 201322254504 |
oct | 35721047120 |
9 | 11322431780 |
10 | 4014231120 |
11 | 177aa24289 |
12 | 940436500 |
13 | 4bc8650b3 |
14 | 2a11ba304 |
15 | 187636c30 |
hex | ef444e50 |
4014231120 has 120 divisors (see below), whose sum is σ = 13529783592. Its totient is φ = 1066598400.
The previous prime is 4014231103. The next prime is 4014231139. The reversal of 4014231120 is 211324104.
It can be written as a sum of positive squares in 4 ways, for example, as 16451136 + 3997779984 = 4056^2 + 63228^2 .
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×40142311202 = 32228102969552908800, which contains 22 as substring.
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 = 4014231093 and 4014231102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192400 + ... + 212240.
Almost surely, 24014231120 is an apocalyptic number.
4014231120 is a gapful number since it is divisible by the number (40) 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 4014231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764891796).
4014231120 is an abundant number, since it is smaller than the sum of its proper divisors (9515552472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4014231120 is a wasteful number, since it uses less digits than its factorization.
4014231120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20141 (or 20132 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 4014231120 is about 63357.9601944381. The cubic root of 4014231120 is about 1589.2813650529.
Adding to 4014231120 its reverse (211324104), we get a palindrome (4225555224).
The spelling of 4014231120 in words is "four billion, fourteen million, two hundred thirty-one thousand, one hundred twenty".
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