Search a number
-
+
41211421204041 = 3311138758993953
BaseRepresentation
bin10010101111011010010000…
…00111110001111001001001
312101220202212210122101212000
421113231020013301321021
520400201442312012131
6223352133204541213
711452266302266524
oct1127551007617111
9171822783571760
1041211421204041
1112149735987870
1247570716b1809
1319cc2b313386a
14a269017d7bbb
154b700c447ce6
hex257b481f1e49

41211421204041 has 16 divisors (see below), whose sum is σ = 66604317097920. Its totient is φ = 24976618911360.

The previous prime is 41211421204001. The next prime is 41211421204073. The reversal of 41211421204041 is 14040212411214.

41211421204041 is a `hidden beast` number, since 4 + 1 + 211 + 4 + 21 + 20 + 404 + 1 = 666.

41211421204041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 41211421204041 - 26 = 41211421203977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 41211421203996 and 41211421204014.

It is not an unprimeable number, because it can be changed into a prime (41211421204001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69379496680 + ... + 69379497273.

It is an arithmetic number, because the mean of its divisors is an integer number (4162769818620).

Almost surely, 241211421204041 is an apocalyptic number.

It is an amenable number.

41211421204041 is a deficient number, since it is larger than the sum of its proper divisors (25392895893879).

41211421204041 is a wasteful number, since it uses less digits than its factorization.

41211421204041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138758993973 (or 138758993967 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 41211421204041 its reverse (14040212411214), we get a palindrome (55251633615255).

The spelling of 41211421204041 in words is "forty-one trillion, two hundred eleven billion, four hundred twenty-one million, two hundred four thousand, forty-one".

Divisors: 1 3 9 11 27 33 99 297 138758993953 416276981859 1248830945577 1526348933483 3746492836731 4579046800449 13737140401347 41211421204041