Base | Representation |
---|---|
bin | 1000010001111001100… |
… | …1111101000111110000 |
3 | 111121011020020222120020 |
4 | 2010132121331013300 |
5 | 4312303433304300 |
6 | 145202423243440 |
7 | 13163640254322 |
oct | 2043631750760 |
9 | 447136228506 |
10 | 142244041200 |
11 | 55364064548 |
12 | 236992a9580 |
13 | 1054b773721 |
14 | 6c55691612 |
15 | 3a77c3c8a0 |
hex | 211e67d1f0 |
142244041200 has 240 divisors, whose sum is σ = 464545124352. Its totient is φ = 37197440000.
The previous prime is 142244041193. The next prime is 142244041211. The reversal of 142244041200 is 2140442241.
142244041200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16268830 + ... + 16277570.
Almost surely, 2142244041200 is an apocalyptic number.
142244041200 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 142244041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232272562176).
142244041200 is an abundant number, since it is smaller than the sum of its proper divisors (322301083152).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142244041200 is a wasteful number, since it uses less digits than its factorization.
142244041200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9024 (or 9013 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 24.
Adding to 142244041200 its reverse (2140442241), we get a palindrome (144384483441).
The spelling of 142244041200 in words is "one hundred forty-two billion, two hundred forty-four million, forty-one thousand, two hundred".
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