Base | Representation |
---|---|
bin | 1111010001100011… |
… | …0000101001100000 |
3 | 101120202010020221102 |
4 | 3310120300221200 |
5 | 31344113201144 |
6 | 1514504013532 |
7 | 203414353634 |
oct | 36430605140 |
9 | 11522106842 |
10 | 4100131424 |
11 | 1814465474 |
12 | 9651612a8 |
13 | 5045acc8c |
14 | 2ac77adc4 |
15 | 18ee53b4e |
hex | f4630a60 |
4100131424 has 48 divisors (see below), whose sum is σ = 8358368256. Its totient is φ = 1977782400.
The previous prime is 4100131421. The next prime is 4100131471. The reversal of 4100131424 is 4241310014.
It is a super-2 number, since 2×41001314242 = 33622155388144535552, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 4100131396 and 4100131405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4100131421) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322109 + ... + 334595.
It is an arithmetic number, because the mean of its divisors is an integer number (174132672).
Almost surely, 24100131424 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4100131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179184128).
4100131424 is an abundant number, since it is smaller than the sum of its proper divisors (4258236832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4100131424 is a wasteful number, since it uses less digits than its factorization.
4100131424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12859 (or 12851 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 20.
The square root of 4100131424 is about 64032.2686151287. The cubic root of 4100131424 is about 1600.5377650685.
Adding to 4100131424 its reverse (4241310014), we get a palindrome (8341441438).
The spelling of 4100131424 in words is "four billion, one hundred million, one hundred thirty-one thousand, four hundred twenty-four".
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