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16144204041 = 34747605809
BaseRepresentation
bin11110000100100010…
…10000000100001001
31112200010011112120000
433002101100010021
5231030404012131
611225550153213
71111032320160
oct170221200411
945603145500
1016144204041
116934a89499
1231667b2809
1316a3905c74
14ad218c3d7
156474ccce6
hex3c2450109

16144204041 has 40 divisors (see below), whose sum is σ = 28148355840. Its totient is φ = 9028962432.

The previous prime is 16144204033. The next prime is 16144204051. The reversal of 16144204041 is 14040244161.

16144204041 is a `hidden beast` number, since 1 + 614 + 4 + 2 + 0 + 4 + 0 + 41 = 666.

It is not a de Polignac number, because 16144204041 - 23 = 16144204033 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 = 16144203996 and 16144204014.

It is not an unprimeable number, because it can be changed into a prime (16144204051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 276256 + ... + 329553.

It is an arithmetic number, because the mean of its divisors is an integer number (703708896).

Almost surely, 216144204041 is an apocalyptic number.

It is an amenable number.

16144204041 is a deficient number, since it is larger than the sum of its proper divisors (12004151799).

16144204041 is an equidigital number, since it uses as much as digits as its factorization.

16144204041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605875 (or 605866 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 16144204041 in words is "sixteen billion, one hundred forty-four million, two hundred four thousand, forty-one".

Divisors: 1 3 7 9 21 27 47 63 81 141 189 329 423 567 987 1269 2961 3807 8883 26649 605809 1817427 4240663 5452281 12721989 16356843 28473023 38165967 49070529 85419069 114497901 199311161 256257207 343493703 597933483 768771621 1793800449 2306314863 5381401347 16144204041