Search a number
-
+
4141000491 = 331435917551
BaseRepresentation
bin1111011011010010…
…1010011100101011
3101200121000121202120
43312310222130223
531440044003431
61522524002323
7204421631505
oct36664523453
911617017676
104141000491
111835539a61
129769903a3
1350cbbc264
142b3d78d75
15193828196
hexf6d2a72b

4141000491 has 32 divisors (see below), whose sum is σ = 5931171840. Its totient is φ = 2565108000.

The previous prime is 4141000483. The next prime is 4141000537. The reversal of 4141000491 is 1940001414.

It is not a de Polignac number, because 4141000491 - 23 = 4141000483 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4141000441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 227166 + ... + 244716.

It is an arithmetic number, because the mean of its divisors is an integer number (185349120).

Almost surely, 24141000491 is an apocalyptic number.

4141000491 is a deficient number, since it is larger than the sum of its proper divisors (1790171349).

4141000491 is a wasteful number, since it uses less digits than its factorization.

4141000491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17687.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 4141000491 is about 64350.6059878227. The cubic root of 4141000491 is about 1605.8381108118.

The spelling of 4141000491 in words is "four billion, one hundred forty-one million, four hundred ninety-one", and thus it is an aban number.

Divisors: 1 3 31 43 59 93 129 177 1333 1829 2537 3999 5487 7611 17551 52653 78647 235941 544081 754693 1035509 1632243 2264079 3106527 23395483 32100779 44526887 70186449 96302337 133580661 1380333497 4141000491