Base | Representation |
---|---|
bin | 11101100111011101110… |
… | …101111101001100000000 |
3 | 21012120022110211111022121 |
4 | 131213131311331030000 |
5 | 231321133302040000 |
6 | 4154551011214024 |
7 | 300020115542056 |
oct | 35473565751400 |
9 | 7176273744277 |
10 | 2035241440000 |
11 | 71516080930a |
12 | 28a53a2a7314 |
13 | 119bcb7c1452 |
14 | 707130881d6 |
15 | 37e1bd50b1a |
hex | 1d9ddd7d300 |
2035241440000 has 180 divisors, whose sum is σ = 5092682120064. Its totient is φ = 811508224000.
The previous prime is 2035241439971. The next prime is 2035241440021. The reversal of 2035241440000 is 441425302.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (25).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50699937 + ... + 50740063.
Almost surely, 22035241440000 is an apocalyptic number.
2035241440000 is a gapful number since it is divisible by the number (20) 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 2035241440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546341060032).
2035241440000 is an abundant number, since it is smaller than the sum of its proper divisors (3057440680064).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2035241440000 is an frugal number, since it uses more digits than its factorization.
2035241440000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40480 (or 40451 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 25.
Adding to 2035241440000 its reverse (441425302), we get a palindrome (2035682865302).
It can be divided in two parts, 203524 and 1440000, that added together give a square (1643524 = 12822).
The spelling of 2035241440000 in words is "two trillion, thirty-five billion, two hundred forty-one million, four hundred forty thousand".
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