Base | Representation |
---|---|
bin | 1000001110100000111… |
… | …1100011001110000000 |
3 | 111111210220101101100101 |
4 | 2003220033203032000 |
5 | 4303423322002000 |
6 | 144532322532144 |
7 | 13132264413334 |
oct | 2035017431600 |
9 | 444726341311 |
10 | 141335344000 |
11 | 54a38131924 |
12 | 23484b07054 |
13 | 10435423486 |
14 | 6baab0d7c4 |
15 | 3a23093e6a |
hex | 20e83e3380 |
141335344000 has 128 divisors (see below), whose sum is σ = 353557320480. Its totient is φ = 56186265600.
The previous prime is 141335343983. The next prime is 141335344021. The reversal of 141335344000 is 443533141.
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 141335344000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2580904 + ... + 2635096.
Almost surely, 2141335344000 is an apocalyptic number.
141335344000 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 141335344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176778660240).
141335344000 is an abundant number, since it is smaller than the sum of its proper divisors (212221976480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141335344000 is an equidigital number, since it uses as much as digits as its factorization.
141335344000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54385 (or 54363 counting only the distinct ones).
The product of its (nonzero) digits is 8640, while the sum is 28.
Adding to 141335344000 its reverse (443533141), we get a palindrome (141778877141).
The spelling of 141335344000 in words is "one hundred forty-one billion, three hundred thirty-five million, three hundred forty-four thousand".
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