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114340941 = 32111388843
BaseRepresentation
bin1101101000010…
…11010001001101
321222011010021200
412310023101031
5213232402231
615202420113
72555611341
oct664132115
9258133250
10114340941
11595a7050
1232361639
131a8c5180
1411285621
15a088be6
hex6d0b44d

114340941 has 24 divisors (see below), whose sum is σ = 194035296. Its totient is φ = 63966240.

The previous prime is 114340931. The next prime is 114340951. The reversal of 114340941 is 149043411.

It is an interprime number because it is at equal distance from previous prime (114340931) and next prime (114340951).

It is not a de Polignac number, because 114340941 - 226 = 47232077 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 (114340931) 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 23 ways as a sum of consecutive naturals, for example, 43135 + ... + 45708.

It is an arithmetic number, because the mean of its divisors is an integer number (8084804).

Almost surely, 2114340941 is an apocalyptic number.

114340941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114340941 is a deficient number, since it is larger than the sum of its proper divisors (79694355).

114340941 is a wasteful number, since it uses less digits than its factorization.

114340941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88873 (or 88870 counting only the distinct ones).

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

The square root of 114340941 is about 10693.0323575682. The cubic root of 114340941 is about 485.3636568301.

The spelling of 114340941 in words is "one hundred fourteen million, three hundred forty thousand, nine hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 88843 266529 799587 977273 1154959 2931819 3464877 8795457 10394631 12704549 38113647 114340941