| Base | Representation |
|---|---|
| bin | 1111010100110111… |
| … | …0000001010000000 |
| 3 | 101121201021000122201 |
| 4 | 3311031300022000 |
| 5 | 31411142214130 |
| 6 | 1520121442544 |
| 7 | 203643422161 |
| oct | 36515601200 |
| 9 | 11551230581 |
| 10 | 4114023040 |
| 11 | 1821293446 |
| 12 | 969940454 |
| 13 | 507434c7a |
| 14 | 2b0555768 |
| 15 | 191299bca |
| hex | f5370280 |
4114023040 has 128 divisors (see below), whose sum is σ = 10047142800. Its totient is φ = 1610514432.
The previous prime is 4114023031. The next prime is 4114023047. The reversal of 4114023040 is 403204114.
It can be written as a sum of positive squares in 8 ways, for example, as 3450857536 + 663165504 = 58744^2 + 25752^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 4114022999 and 4114023017.
It is not an unprimeable number, because it can be changed into a prime (4114023047) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8082306 + ... + 8082814.
Almost surely, 24114023040 is an apocalyptic number.
4114023040 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 4114023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023571400).
4114023040 is an abundant number, since it is smaller than the sum of its proper divisors (5933119760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4114023040 is a wasteful number, since it uses less digits than its factorization.
4114023040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 774 (or 762 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 4114023040 is about 64140.6504488378. The cubic root of 4114023040 is about 1602.3433163673.
Adding to 4114023040 its reverse (403204114), we get a palindrome (4517227154).
The spelling of 4114023040 in words is "four billion, one hundred fourteen million, twenty-three thousand, forty".
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