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114072431 = 11174712979
BaseRepresentation
bin1101100110010…
…01101101101111
321221122110221212
412303021231233
5213200304211
615152545035
72553412454
oct663115557
9257573855
10114072431
1159433340
123225217b
131a82cba5
141121582b
15a03438b
hex6cc9b6f

114072431 has 16 divisors (see below), whose sum is σ = 134576640. Its totient is φ = 95518080.

The previous prime is 114072407. The next prime is 114072437. The reversal of 114072431 is 134270411.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 114072431 - 26 = 114072367 is a prime.

It is a super-2 number, since 2×1140724312 = 26025039028499522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114072397 and 114072406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114072437) 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, 2300 + ... + 15278.

It is an arithmetic number, because the mean of its divisors is an integer number (8411040).

Almost surely, 2114072431 is an apocalyptic number.

114072431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114072431 is a deficient number, since it is larger than the sum of its proper divisors (20504209).

114072431 is a wasteful number, since it uses less digits than its factorization.

114072431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13054.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 114072431 is about 10680.4696057804. The cubic root of 114072431 is about 484.9834280659.

The spelling of 114072431 in words is "one hundred fourteen million, seventy-two thousand, four hundred thirty-one".

Divisors: 1 11 17 47 187 517 799 8789 12979 142769 220643 610013 2427073 6710143 10370221 114072431