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66141441 = 3817593
BaseRepresentation
bin1111110001001…
…1110100000001
311121110100000000
43330103310001
5113413011231
610321350213
71432123122
oct374236401
9147410000
1066141441
1134376053
121a198369
131091a462
148ada049
155c176e6
hex3f13d01

66141441 has 36 divisors (see below), whose sum is σ = 105219972. Its totient is φ = 41430528.

The previous prime is 66141437. The next prime is 66141443. The reversal of 66141441 is 14414166.

66141441 is a `hidden beast` number, since 6 + 614 + 1 + 4 + 41 = 666.

66141441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 46294416 + 19847025 = 6804^2 + 4455^2 .

It is not a de Polignac number, because 66141441 - 22 = 66141437 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (66141443) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 111241 + ... + 111833.

It is an arithmetic number, because the mean of its divisors is an integer number (2922777).

Almost surely, 266141441 is an apocalyptic number.

It is an amenable number.

66141441 is a deficient number, since it is larger than the sum of its proper divisors (39078531).

66141441 is an frugal number, since it uses more digits than its factorization.

66141441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 613 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 66141441 is about 8132.7388375627. The cubic root of 66141441 is about 404.4124814540.

The spelling of 66141441 in words is "sixty-six million, one hundred forty-one thousand, four hundred forty-one".

Divisors: 1 3 9 17 27 51 81 153 243 459 593 729 1377 1779 2187 4131 5337 6561 10081 12393 16011 30243 37179 48033 90729 111537 144099 272187 432297 816561 1296891 2449683 3890673 7349049 22047147 66141441