Base | Representation |
---|---|
bin | 100011110011011… |
… | …0110010010000000 |
3 | 10002201120201112101 |
4 | 1013212312102000 |
5 | 4430022204034 |
6 | 315113240144 |
7 | 41525305126 |
oct | 10746662200 |
9 | 3081521471 |
10 | 1201366144 |
11 | 56715a190 |
12 | 296403054 |
13 | 161b82254 |
14 | b57a7916 |
15 | 7070a514 |
hex | 479b6480 |
1201366144 has 64 divisors (see below), whose sum is σ = 2640535200. Its totient is φ = 539883520.
The previous prime is 1201366141. The next prime is 1201366169. The reversal of 1201366144 is 4416631021.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×12013661442 = 2886561223898857472, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (1201366141) 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 7 ways as a sum of consecutive naturals, for example, 120519 + ... + 130105.
Almost surely, 21201366144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1201366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320267600).
1201366144 is an abundant number, since it is smaller than the sum of its proper divisors (1439169056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1201366144 is an equidigital number, since it uses as much as digits as its factorization.
1201366144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9701 (or 9689 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 28.
The square root of 1201366144 is about 34660.7291325500. The cubic root of 1201366144 is about 1063.0616786443.
Adding to 1201366144 its reverse (4416631021), we get a palindrome (5617997165).
The spelling of 1201366144 in words is "one billion, two hundred one million, three hundred sixty-six thousand, one hundred forty-four".
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