Base | Representation |
---|---|
bin | 111001011000111101… |
… | …1110001101010100000 |
3 | 102210010002221012211210 |
4 | 1302301323301222200 |
5 | 4004401021241230 |
6 | 132341225310120 |
7 | 11622052306332 |
oct | 1626173615240 |
9 | 383102835753 |
10 | 123244321440 |
11 | 482a422a909 |
12 | 1ba76335340 |
13 | b8113a36b6 |
14 | 5d7218b452 |
15 | 3314c0aeb0 |
hex | 1cb1ef1aa0 |
123244321440 has 96 divisors (see below), whose sum is σ = 388658632320. Its totient is φ = 32827986944.
The previous prime is 123244321397. The next prime is 123244321471. The reversal of 123244321440 is 44123442321.
123244321440 is digitally balanced in base 3, because in such base 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 (96).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 123244321398 and 123244321407.
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 15 ways as a sum of consecutive naturals, for example, 281026 + ... + 570494.
It is an arithmetic number, because the mean of its divisors is an integer number (4048527420).
Almost surely, 2123244321440 is an apocalyptic number.
123244321440 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 123244321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194329316160).
123244321440 is an abundant number, since it is smaller than the sum of its proper divisors (265414310880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123244321440 is a wasteful number, since it uses less digits than its factorization.
123244321440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 290374 (or 290366 counting only the distinct ones).
The product of its (nonzero) digits is 18432, while the sum is 30.
Adding to 123244321440 its reverse (44123442321), we get a palindrome (167367763761).
The spelling of 123244321440 in words is "one hundred twenty-three billion, two hundred forty-four million, three hundred twenty-one thousand, four hundred forty".
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