Base | Representation |
---|---|
bin | 100110011000100101… |
… | …110010101000000000 |
3 | 10221101022211012010000 |
4 | 212120211302220000 |
5 | 1133401433433214 |
6 | 30533411040000 |
7 | 2656224405420 |
oct | 463045625000 |
9 | 127338735100 |
10 | 41214749184 |
11 | 1652a719094 |
12 | 7ba28a0000 |
13 | 3b6a93c16b |
14 | 1dcda5a480 |
15 | 1113487809 |
hex | 998972a00 |
41214749184 has 200 divisors, whose sum is σ = 140589760608. Its totient is φ = 11775559680.
The previous prime is 41214749167. The next prime is 41214749197. The reversal of 41214749184 is 48194741214.
41214749184 is a `hidden beast` number, since 4 + 12 + 1 + 474 + 91 + 84 = 666.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
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 19 ways as a sum of consecutive naturals, for example, 219319 + ... + 361289.
Almost surely, 241214749184 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 41214749184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70294880304).
41214749184 is an abundant number, since it is smaller than the sum of its proper divisors (99375011424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41214749184 is an equidigital number, since it uses as much as digits as its factorization.
41214749184 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142008 (or 141983 counting only the distinct ones).
The product of its digits is 258048, while the sum is 45.
The spelling of 41214749184 in words is "forty-one billion, two hundred fourteen million, seven hundred forty-nine thousand, one hundred eighty-four".
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