| Base | Representation |
|---|---|
| bin | 1110111100110011… |
| … | …0101111000000000 |
| 3 | 101100200101200010000 |
| 4 | 3233030311320000 |
| 5 | 31204324333044 |
| 6 | 1502115040000 |
| 7 | 201306652203 |
| oct | 35714657000 |
| 9 | 11320350100 |
| 10 | 4013121024 |
| 11 | 177a336250 |
| 12 | 93bba0000 |
| 13 | 4bc566a33 |
| 14 | 2a0dab93a |
| 15 | 1874b7d69 |
| hex | ef335e00 |
4013121024 has 400 divisors, whose sum is σ = 13784474880. Its totient is φ = 1149603840.
The previous prime is 4013121011. The next prime is 4013121097. The reversal of 4013121024 is 4201213104.
4013121024 is a `hidden beast` number, since 401 + 31 + 210 + 24 = 666.
4013121024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×40131210242 = 32210280706541617152, 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 = 4013120988 and 4013121006.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8667417 + ... + 8667879.
Almost surely, 24013121024 is an apocalyptic number.
4013121024 is a gapful number since it is divisible by the number (44) 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 4013121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892237440).
4013121024 is an abundant number, since it is smaller than the sum of its proper divisors (9771353856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4013121024 is a wasteful number, since it uses less digits than its factorization.
4013121024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 523 (or 498 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 4013121024 is about 63349.1990793885. The cubic root of 4013121024 is about 1589.1348515208.
Adding to 4013121024 its reverse (4201213104), we get a palindrome (8214334128).
The spelling of 4013121024 in words is "four billion, thirteen million, one hundred twenty-one thousand, twenty-four".
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