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114246141 = 3438591031
BaseRepresentation
bin1101100111101…
…00000111111101
321221222022020120
412303310013331
5213221334031
615200405153
72555035062
oct663640775
9257868216
10114246141
11595418a9
12323167b9
131a890c89
141125cc69
15a06aa96
hex6cf41fd

114246141 has 16 divisors (see below), whose sum is σ = 156203520. Its totient is φ = 74234160.

The previous prime is 114246101. The next prime is 114246151. The reversal of 114246141 is 141642411.

It is not a de Polignac number, because 114246141 - 215 = 114213373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114246101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110296 + ... + 111326.

It is an arithmetic number, because the mean of its divisors is an integer number (9762720).

Almost surely, 2114246141 is an apocalyptic number.

It is an amenable number.

114246141 is a deficient number, since it is larger than the sum of its proper divisors (41957379).

114246141 is a wasteful number, since it uses less digits than its factorization.

114246141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936.

The product of its digits is 768, while the sum is 24.

The square root of 114246141 is about 10688.5986452855. The cubic root of 114246141 is about 485.2294815107.

Adding to 114246141 its reverse (141642411), we get a palindrome (255888552).

The spelling of 114246141 in words is "one hundred fourteen million, two hundred forty-six thousand, one hundred forty-one".

Divisors: 1 3 43 129 859 1031 2577 3093 36937 44333 110811 132999 885629 2656887 38082047 114246141