Base | Representation |
---|---|
bin | 111000110010001101… |
… | …1011100100101001000 |
3 | 102122202111011002022120 |
4 | 1301210123130211020 |
5 | 3444220131011330 |
6 | 132004215051240 |
7 | 11544612622224 |
oct | 1614433344510 |
9 | 378674132276 |
10 | 121944000840 |
11 | 47797233792 |
12 | 1b772970b20 |
13 | b664b8581c |
14 | 5c8b5c5784 |
15 | 328a9a5c10 |
hex | 1c646dc948 |
121944000840 has 320 divisors, whose sum is σ = 406362787200. Its totient is φ = 29274876928.
The previous prime is 121944000821. The next prime is 121944000847. The reversal of 121944000840 is 48000449121.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 6647 × 5865 × 3128.
It is not an unprimeable number, because it can be changed into a prime (121944000847) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5301913069 + ... + 5301913091.
It is an arithmetic number, because the mean of its divisors is an integer number (1269883710).
Almost surely, 2121944000840 is an apocalyptic number.
121944000840 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 121944000840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203181393600).
121944000840 is an abundant number, since it is smaller than the sum of its proper divisors (284418786360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121944000840 is an frugal number, since it uses more digits than its factorization.
121944000840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 151 (or 50 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 33.
Adding to 121944000840 its reverse (48000449121), we get a palindrome (169944449961).
The spelling of 121944000840 in words is "one hundred twenty-one billion, nine hundred forty-four million, eight hundred forty", and thus it is an aban number.
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