| Base | Representation |
|---|---|
| bin | 10100011111110010… |
| … | …11110001101000000 |
| 3 | 1001101220020100112122 |
| 4 | 22033321132031000 |
| 5 | 140014030024100 |
| 6 | 5015532543412 |
| 7 | 536456444546 |
| oct | 121771361500 |
| 9 | 31356210478 |
| 10 | 11004142400 |
| 11 | 4737608069 |
| 12 | 2171321b68 |
| 13 | 1064a47c84 |
| 14 | 76566bd96 |
| 15 | 44610b985 |
| hex | 28fe5e340 |
11004142400 has 84 divisors (see below), whose sum is σ = 27170638572. Its totient is φ = 4386447360.
The previous prime is 11004142393. The next prime is 11004142417. The reversal of 11004142400 is 424140011.
11004142400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 2294026816 + 8710115584 = 47896^2 + 93328^2 .
It is a super-2 number, since 2×110041424002 (a number of 21 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 457064 + ... + 480536.
It is an arithmetic number, because the mean of its divisors is an integer number (323459983).
Almost surely, 211004142400 is an apocalyptic number.
11004142400 is a gapful number since it is divisible by the number (10) 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 11004142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13585319286).
11004142400 is an abundant number, since it is smaller than the sum of its proper divisors (16166496172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11004142400 is a wasteful number, since it uses less digits than its factorization.
11004142400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23788 (or 23773 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 17.
Adding to 11004142400 its reverse (424140011), we get a palindrome (11428282411).
The spelling of 11004142400 in words is "eleven billion, four million, one hundred forty-two thousand, four hundred".
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