Base | Representation |
---|---|
bin | 111001011000100110… |
… | …1010011101111010000 |
3 | 102210002021000100101020 |
4 | 1302301031103233100 |
5 | 4004334411441430 |
6 | 132340112235440 |
7 | 11621543623536 |
oct | 1626115235720 |
9 | 383067010336 |
10 | 123232140240 |
11 | 4829836aa00 |
12 | 1ba7223bb80 |
13 | b80b9ca0a1 |
14 | 5d706da156 |
15 | 3313b01b10 |
hex | 1cb1353bd0 |
123232140240 has 240 divisors, whose sum is σ = 422940638400. Its totient is φ = 29658562560.
The previous prime is 123232140233. The next prime is 123232140247. The reversal of 123232140240 is 42041232321.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (123232140233) and next prime (123232140247).
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 self number, because there is not a number n which added to its sum of digits gives 123232140240.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (123232140247) by changing a digit.
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, 4021296 + ... + 4051824.
It is an arithmetic number, because the mean of its divisors is an integer number (1762252660).
Almost surely, 2123232140240 is an apocalyptic number.
123232140240 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 123232140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211470319200).
123232140240 is an abundant number, since it is smaller than the sum of its proper divisors (299708498160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123232140240 is a wasteful number, since it uses less digits than its factorization.
123232140240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30706 (or 30689 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 123232140240 its reverse (42041232321), we get a palindrome (165273372561).
The spelling of 123232140240 in words is "one hundred twenty-three billion, two hundred thirty-two million, one hundred forty thousand, two hundred forty".
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