| Base | Representation |
|---|---|
| bin | 10111101010110000… |
| … | …011101101010100000 |
| 3 | 2102121002210221221200 |
| 4 | 113222300131222200 |
| 5 | 404021313100230 |
| 6 | 15401425321200 |
| 7 | 1556524262466 |
| oct | 275260355240 |
| 9 | 72532727850 |
| 10 | 25413409440 |
| 11 | a861230721 |
| 12 | 4b12a96200 |
| 13 | 25200914a3 |
| 14 | 133123c836 |
| 15 | 9db134160 |
| hex | 5eac1daa0 |
25413409440 has 144 divisors (see below), whose sum is σ = 86828669928. Its totient is φ = 6768672768.
The previous prime is 25413409421. The next prime is 25413409447. The reversal of 25413409440 is 4490431452.
It can be written as a sum of positive squares in 4 ways, for example, as 25155228816 + 258180624 = 158604^2 + 16068^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×254134094402 (a number of 22 digits) 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 = 25413409395 and 25413409404.
It is not an unprimeable number, because it can be changed into a prime (25413409447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1223784 + ... + 1244376.
Almost surely, 225413409440 is an apocalyptic number.
25413409440 is a gapful number since it is divisible by the number (20) 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 25413409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43414334964).
25413409440 is an abundant number, since it is smaller than the sum of its proper divisors (61415260488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
25413409440 is a wasteful number, since it uses less digits than its factorization.
25413409440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21471 (or 21460 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The spelling of 25413409440 in words is "twenty-five billion, four hundred thirteen million, four hundred nine thousand, four hundred forty".
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