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114606141 = 3137141389
BaseRepresentation
bin1101101010011…
…00000000111101
321222122121001220
412311030000331
5213314344031
615212223553
72561064456
oct665140075
9258577056
10114606141
1159768321
123246abb9
131a988ab0
141131412d
15a0dc596
hex6d4c03d

114606141 has 16 divisors (see below), whose sum is σ = 166884480. Its totient is φ = 69531840.

The previous prime is 114606139. The next prime is 114606161. The reversal of 114606141 is 141606411.

It is not a de Polignac number, because 114606141 - 21 = 114606139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114606161) 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, 17926 + ... + 23463.

It is an arithmetic number, because the mean of its divisors is an integer number (10430280).

Almost surely, 2114606141 is an apocalyptic number.

It is an amenable number.

114606141 is a deficient number, since it is larger than the sum of its proper divisors (52278339).

114606141 is a wasteful number, since it uses less digits than its factorization.

114606141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41476.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114606141 is about 10705.4257738775. The cubic root of 114606141 is about 485.7386145459.

The spelling of 114606141 in words is "one hundred fourteen million, six hundred six thousand, one hundred forty-one".

Divisors: 1 3 13 39 71 213 923 2769 41389 124167 538057 1614171 2938619 8815857 38202047 114606141