Base | Representation |
---|---|
bin | 1111010110111111… |
… | …1111110011000000 |
3 | 101122100011002201201 |
4 | 3311233333303000 |
5 | 31420442000000 |
6 | 1521042110544 |
7 | 204112631110 |
oct | 36557776300 |
9 | 11570132651 |
10 | 4123000000 |
11 | 1826364a19 |
12 | 97094b454 |
13 | 509258c92 |
14 | 2b1811040 |
15 | 191e6e96a |
hex | f5bffcc0 |
4123000000 has 392 divisors, whose sum is σ = 12699837440. Its totient is φ = 1296000000.
The previous prime is 4122999997. The next prime is 4123000001. The reversal of 4123000000 is 3214.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4123000000 = 3003 + 16003 = 10803 + 14203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4123000001) by changing a digit.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 132999985 + ... + 133000015.
Almost surely, 24123000000 is an apocalyptic number.
4123000000 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 4123000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6349918720).
4123000000 is an abundant number, since it is smaller than the sum of its proper divisors (8576837440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4123000000 is an frugal number, since it uses more digits than its factorization.
4123000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 99 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
The square root of 4123000000 is about 64210.5910267146. The cubic root of 4123000000 is about 1603.5079284032.
Adding to 4123000000 its reverse (3214), we get a palindrome (4123003214).
The spelling of 4123000000 in words is "four billion, one hundred twenty-three million", and thus it is an aban number.
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