Base | Representation |
---|---|
bin | 10000100001010001110… |
… | …010010010100110000000 |
3 | 11000112021001221021100201 |
4 | 100201101302102212000 |
5 | 122044434314112000 |
6 | 2225305040054544 |
7 | 145006251366034 |
oct | 20412162224600 |
9 | 4015231837321 |
10 | 1135243504000 |
11 | 3a84aa3a9201 |
12 | 164026904454 |
13 | 8308c5a8958 |
14 | 3cd3607c1c4 |
15 | 1e7e4ad096a |
hex | 10851c92980 |
1135243504000 has 128 divisors (see below), whose sum is σ = 2832699748320. Its totient is φ = 452456294400.
The previous prime is 1135243503973. The next prime is 1135243504007. The reversal of 1135243504000 is 4053425311.
It is a tau number, because it is divible by the number of its divisors (128).
It is a self number, because there is not a number n which added to its sum of digits gives 1135243504000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1135243504007) 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, 4303927 + ... + 4560073.
Almost surely, 21135243504000 is an apocalyptic number.
1135243504000 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 1135243504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416349874160).
1135243504000 is an abundant number, since it is smaller than the sum of its proper divisors (1697456244320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1135243504000 is an equidigital number, since it uses as much as digits as its factorization.
1135243504000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 256453 (or 256431 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 28.
Adding to 1135243504000 its reverse (4053425311), we get a palindrome (1139296929311).
The spelling of 1135243504000 in words is "one trillion, one hundred thirty-five billion, two hundred forty-three million, five hundred four thousand".
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