Base | Representation |
---|---|
bin | 10011011100100011… |
… | …11111010010000000 |
3 | 222221120222021012000 |
4 | 21232101333102000 |
5 | 132340134102000 |
6 | 4443544304000 |
7 | 516500521416 |
oct | 115621772200 |
9 | 28846867160 |
10 | 10440144000 |
11 | 4478209790 |
12 | 2034472000 |
13 | ca4c46000 |
14 | 7107b72b6 |
15 | 411851000 |
hex | 26e47f480 |
10440144000 has 1024 divisors, whose sum is σ = 45444672000. Its totient is φ = 2336256000.
The previous prime is 10440143993. The next prime is 10440144041. The reversal of 10440144000 is 44104401.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 803087994 + ... + 803088006.
Almost surely, 210440144000 is an apocalyptic number.
10440144000 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 10440144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22722336000).
10440144000 is an abundant number, since it is smaller than the sum of its proper divisors (35004528000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10440144000 is an equidigital number, since it uses as much as digits as its factorization.
10440144000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 88 (or 34 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 10440144000 its reverse (44104401), we get a palindrome (10484248401).
It can be divided in two parts, 104 and 40144000, that added together give a palindrome (40144104).
The spelling of 10440144000 in words is "ten billion, four hundred forty million, one hundred forty-four thousand".
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