Base | Representation |
---|---|
bin | 100100111111110… |
… | …1011100010000000 |
3 | 10012111222012000020 |
4 | 1021333223202000 |
5 | 10020301231034 |
6 | 323104053440 |
7 | 42522660603 |
oct | 11177534200 |
9 | 3174865006 |
10 | 1241430144 |
11 | 587833929 |
12 | 2a7904280 |
13 | 16a26bc66 |
14 | bac3633a |
15 | 73ec1249 |
hex | 49feb880 |
1241430144 has 128 divisors (see below), whose sum is σ = 3495744000. Its totient is φ = 389652480.
The previous prime is 1241430139. The next prime is 1241430191. The reversal of 1241430144 is 4410341421.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×12414301442 = 3082297604863721472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455217 + ... + 457935.
It is an arithmetic number, because the mean of its divisors is an integer number (27310500).
Almost surely, 21241430144 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 1241430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747872000).
1241430144 is an abundant number, since it is smaller than the sum of its proper divisors (2254313856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1241430144 is a wasteful number, since it uses less digits than its factorization.
1241430144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2806 (or 2794 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 1241430144 is about 35233.9345517925. The cubic root of 1241430144 is about 1074.7499383028.
Adding to 1241430144 its reverse (4410341421), we get a palindrome (5651771565).
The spelling of 1241430144 in words is "one billion, two hundred forty-one million, four hundred thirty thousand, one hundred forty-four".
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