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14431101033141 = 3213143985714207
BaseRepresentation
bin1101001000000000000010…
…1001101001101010110101
31220002121012020120111122200
43102000000221221222311
53342414343331030031
650405320054215113
73016420064565432
oct322000051515265
956077166514580
1014431101033141
114664217351561
121750a16654499
13808b01aaa380
1437c67cda6b89
151a05bce0c8e6
hexd2000a69ab5

14431101033141 has 24 divisors (see below), whose sum is σ = 22463979632640. Its totient is φ = 8874506032416.

The previous prime is 14431101033133. The next prime is 14431101033197. The reversal of 14431101033141 is 14133010113441.

14431101033141 is a `hidden beast` number, since 1 + 4 + 4 + 311 + 0 + 10 + 331 + 4 + 1 = 666.

It is not a de Polignac number, because 14431101033141 - 23 = 14431101033133 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14431101033131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42688741 + ... + 43025466.

It is an arithmetic number, because the mean of its divisors is an integer number (935999151360).

Almost surely, 214431101033141 is an apocalyptic number.

It is an amenable number.

14431101033141 is a deficient number, since it is larger than the sum of its proper divisors (8032878599499).

14431101033141 is a wasteful number, since it uses less digits than its factorization.

14431101033141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85715665 (or 85715662 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 14431101033141 its reverse (14133010113441), we get a palindrome (28564111146582).

The spelling of 14431101033141 in words is "fourteen trillion, four hundred thirty-one billion, one hundred one million, thirty-three thousand, one hundred forty-one".

Divisors: 1 3 9 13 39 117 1439 4317 12951 18707 56121 168363 85714207 257142621 771427863 1114284691 3342854073 10028562219 123342743873 370028231619 1110084694857 1603455670349 4810367011047 14431101033141