| Base | Representation |
|---|---|
| bin | 1110111101001110… |
| … | …0011101101101000 |
| 3 | 101100210201010020000 |
| 4 | 3233103203231220 |
| 5 | 31210302203030 |
| 6 | 1502220503000 |
| 7 | 201330634200 |
| oct | 35723435550 |
| 9 | 11323633200 |
| 10 | 4014881640 |
| 11 | 1780329000 |
| 12 | 9406aaa60 |
| 13 | 4bca32213 |
| 14 | 2a1309400 |
| 15 | 187714860 |
| hex | ef4e3b68 |
4014881640 has 960 divisors, whose sum is σ = 18174974400. Its totient is φ = 790352640.
The previous prime is 4014881627. The next prime is 4014881681. The reversal of 4014881640 is 461884104.
4014881640 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 8 + 8 + 1 + 640 = 666.
It is a super-2 number, since 2×40148816402 = 32238549166418179200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 4014881595 and 4014881604.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 211309551 + ... + 211309569.
It is an arithmetic number, because the mean of its divisors is an integer number (18932265).
Almost surely, 24014881640 is an apocalyptic number.
4014881640 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 4014881640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087487200).
4014881640 is an abundant number, since it is smaller than the sum of its proper divisors (14160092760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4014881640 is a wasteful number, since it uses less digits than its factorization.
4014881640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 89 (or 47 counting only the distinct ones).
The product of its (nonzero) digits is 24576, while the sum is 36.
The square root of 4014881640 is about 63363.0936744727. The cubic root of 4014881640 is about 1589.3672099250.
The spelling of 4014881640 in words is "four billion, fourteen million, eight hundred eighty-one thousand, six hundred forty".
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