Base | Representation |
---|---|
bin | 1000001101110010101… |
… | …1011000001100111000 |
3 | 111111022101021112220120 |
4 | 2003130223120030320 |
5 | 4303024133443222 |
6 | 144501152053240 |
7 | 13124420234310 |
oct | 2033453301470 |
9 | 444271245816 |
10 | 141141312312 |
11 | 54948655a60 |
12 | 2342bb34220 |
13 | 10404178920 |
14 | 6b8d042440 |
15 | 3a1101815c |
hex | 20dcad8338 |
141141312312 has 512 divisors, whose sum is σ = 513925171200. Its totient is φ = 31068979200.
The previous prime is 141141312311. The next prime is 141141312371. The reversal of 141141312312 is 213213141141.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (141141312311) 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 127 ways as a sum of consecutive naturals, for example, 16740514 + ... + 16748942.
It is an arithmetic number, because the mean of its divisors is an integer number (1003760100).
Almost surely, 2141141312312 is an apocalyptic number.
141141312312 is a gapful number since it is divisible by the number (12) 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 141141312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256962585600).
141141312312 is an abundant number, since it is smaller than the sum of its proper divisors (372783858888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
141141312312 is a wasteful number, since it uses less digits than its factorization.
141141312312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8527 (or 8523 counting only the distinct ones).
The product of its digits is 576, while the sum is 24.
Adding to 141141312312 its reverse (213213141141), we get a palindrome (354354453453).
The spelling of 141141312312 in words is "one hundred forty-one billion, one hundred forty-one million, three hundred twelve thousand, three hundred twelve".
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