Base | Representation |
---|---|
bin | 111001010101111001… |
… | …0111110111111100000 |
3 | 102202211221011220022011 |
4 | 1302223302332333200 |
5 | 4004143141302230 |
6 | 132323110322304 |
7 | 11616362143150 |
oct | 1625362767740 |
9 | 382757156264 |
10 | 123141353440 |
11 | 482510a1496 |
12 | 1ba47959394 |
13 | b7c5c60ca1 |
14 | 5d62626760 |
15 | 330ab6be2a |
hex | 1cabcbefe0 |
123141353440 has 96 divisors (see below), whose sum is σ = 332601522624. Its totient is φ = 42204672000.
The previous prime is 123141353399. The next prime is 123141353477. The reversal of 123141353440 is 44353141321.
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 3342802 + ... + 3379438.
It is an arithmetic number, because the mean of its divisors is an integer number (3464599194).
Almost surely, 2123141353440 is an apocalyptic number.
123141353440 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 123141353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166300761312).
123141353440 is an abundant number, since it is smaller than the sum of its proper divisors (209460169184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123141353440 is a wasteful number, since it uses less digits than its factorization.
123141353440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 39660 (or 39652 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 31.
Adding to 123141353440 its reverse (44353141321), we get a palindrome (167494494761).
The spelling of 123141353440 in words is "one hundred twenty-three billion, one hundred forty-one million, three hundred fifty-three thousand, four hundred forty".
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