Base | Representation |
---|---|
bin | 100100111111110… |
… | …0111100111010100 |
3 | 10012111221101000000 |
4 | 1021333213213110 |
5 | 10020300222400 |
6 | 323103451300 |
7 | 42522563043 |
oct | 11177474724 |
9 | 3174841000 |
10 | 1241414100 |
11 | 587822873 |
12 | 2a78b6b30 |
13 | 16a264874 |
14 | bac3055a |
15 | 73ebb600 |
hex | 49fe79d4 |
1241414100 has 126 divisors (see below), whose sum is σ = 4039192430. Its totient is φ = 331024320.
The previous prime is 1241414099. The next prime is 1241414131. The reversal of 1241414100 is 14141421.
1241414100 is a `hidden beast` number, since 1 + 241 + 414 + 10 + 0 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 198640836 + 1042773264 = 14094^2 + 32292^2 .
It is a super-2 number, since 2×12414141002 = 3082217935357620000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
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 41 ways as a sum of consecutive naturals, for example, 64386 + ... + 81414.
Almost surely, 21241414100 is an apocalyptic number.
1241414100 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 1241414100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019596215).
1241414100 is an abundant number, since it is smaller than the sum of its proper divisors (2797778330).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1241414100 is a wasteful number, since it uses less digits than its factorization.
1241414100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17061 (or 17039 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
The square root of 1241414100 is about 35233.7068728228. The cubic root of 1241414100 is about 1074.7453083303.
Adding to 1241414100 its reverse (14141421), we get a palindrome (1255555521).
The spelling of 1241414100 in words is "one billion, two hundred forty-one million, four hundred fourteen thousand, one hundred".
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