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114106144 = 259736761
BaseRepresentation
bin1101100110100…
…01111100100000
321221201012012111
412303101330200
5213202344034
615153405104
72553612655
oct663217440
9257635174
10114106144
11594566a9
1232269794
131a842339
1411223c2c
15a03e364
hex6cd1f20

114106144 has 24 divisors (see below), whose sum is σ = 226968588. Its totient is φ = 56463360.

The previous prime is 114106141. The next prime is 114106163. The reversal of 114106144 is 441601411.

It can be written as a sum of positive squares in 2 ways, for example, as 98010000 + 16096144 = 9900^2 + 4012^2 .

It is not an unprimeable number, because it can be changed into a prime (114106141) 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 3 ways as a sum of consecutive naturals, for example, 15277 + ... + 21484.

Almost surely, 2114106144 is an apocalyptic number.

It is an amenable number.

114106144 is a deficient number, since it is larger than the sum of its proper divisors (112862444).

114106144 is an equidigital number, since it uses as much as digits as its factorization.

114106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36868 (or 36860 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 114106144 is about 10682.0477437615. The cubic root of 114106144 is about 485.0312007419.

Adding to 114106144 its reverse (441601411), we get a palindrome (555707555).

The spelling of 114106144 in words is "one hundred fourteen million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 97 194 388 776 1552 3104 36761 73522 147044 294088 588176 1176352 3565817 7131634 14263268 28526536 57053072 114106144