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114117441 = 31091632141
BaseRepresentation
bin1101100110101…
…00101101000001
321221201202200220
412303110231001
5213203224231
615153533253
72553660624
oct663245501
9257652626
10114117441
1159464139
1232274229
131a847519
1411227dbb
15a042896
hex6cd4b41

114117441 has 16 divisors (see below), whose sum is σ = 154566720. Its totient is φ = 74882880.

The previous prime is 114117433. The next prime is 114117499. The reversal of 114117441 is 144711411.

It is not a de Polignac number, because 114117441 - 23 = 114117433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114117041) 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 15 ways as a sum of consecutive naturals, for example, 52231 + ... + 54371.

It is an arithmetic number, because the mean of its divisors is an integer number (9660420).

Almost surely, 2114117441 is an apocalyptic number.

It is an amenable number.

114117441 is a deficient number, since it is larger than the sum of its proper divisors (40449279).

114117441 is a wasteful number, since it uses less digits than its factorization.

114117441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416.

The product of its digits is 448, while the sum is 24.

The square root of 114117441 is about 10682.5765150548. The cubic root of 114117441 is about 485.0472069401.

Adding to 114117441 its reverse (144711411), we get a palindrome (258828852).

The spelling of 114117441 in words is "one hundred fourteen million, one hundred seventeen thousand, four hundred forty-one".

Divisors: 1 3 109 163 327 489 2141 6423 17767 53301 233369 348983 700107 1046949 38039147 114117441