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13142144 = 27102673
BaseRepresentation
bin110010001000…
…100010000000
3220201200122002
4302020202000
511331022034
61145403132
7216464201
oct62104200
926650562
1013142144
117466984
1244994a8
132951b22
141a615a8
151248e7e
hexc88880

13142144 has 16 divisors (see below), whose sum is σ = 26181870. Its totient is φ = 6571008.

The previous prime is 13142123. The next prime is 13142147. The reversal of 13142144 is 44124131.

It can be written as a sum of positive squares in only one way, i.e., 9486400 + 3655744 = 3080^2 + 1912^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13142147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51209 + ... + 51464.

Almost surely, 213142144 is an apocalyptic number.

It is an amenable number.

13142144 is a deficient number, since it is larger than the sum of its proper divisors (13039726).

13142144 is an equidigital number, since it uses as much as digits as its factorization.

13142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102687 (or 102675 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 13142144 is about 3625.2095111869. The cubic root of 13142144 is about 235.9873592770.

Adding to 13142144 its reverse (44124131), we get a palindrome (57266275).

The spelling of 13142144 in words is "thirteen million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 102673 205346 410692 821384 1642768 3285536 6571072 13142144