Base | Representation |
---|---|
bin | 10000101001011100111… |
… | …001111110001010000000 |
3 | 11001100220201110112110021 |
4 | 100221130321332022000 |
5 | 122220423110021113 |
6 | 2233315554543224 |
7 | 145436611365034 |
oct | 20513471761200 |
9 | 4040821415407 |
10 | 1144020001408 |
11 | 4011a3514649 |
12 | 165875b97b14 |
13 | 83b5a96319b |
14 | 3d5299141c4 |
15 | 1eb5a35e48d |
hex | 10a5ce7e280 |
1144020001408 has 64 divisors (see below), whose sum is σ = 2295545634720. Its totient is φ = 567890611200.
The previous prime is 1144020001337. The next prime is 1144020001409. The reversal of 1144020001408 is 8041000204411.
It is a tau number, because it is divible by the number of its divisors (64).
It is not an unprimeable number, because it can be changed into a prime (1144020001409) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19729258 + ... + 19787158.
Almost surely, 21144020001408 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 1144020001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147772817360).
1144020001408 is an abundant number, since it is smaller than the sum of its proper divisors (1151525633312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1144020001408 is an equidigital number, since it uses as much as digits as its factorization.
1144020001408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59025 (or 59013 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 25.
Adding to 1144020001408 its reverse (8041000204411), we get a palindrome (9185020205819).
The spelling of 1144020001408 in words is "one trillion, one hundred forty-four billion, twenty million, one thousand, four hundred eight".
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