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114429579 = 3112437331
BaseRepresentation
bin1101101001000…
…00111010001011
321222022121212120
412310200322023
5213243221304
615204342323
72556430635
oct664407213
9258277776
10114429579
1159657700
12323a49a3
131a926614
14112a9a55
15a0a50d9
hex6d20e8b

114429579 has 24 divisors (see below), whose sum is σ = 171627456. Its totient is φ = 67729200.

The previous prime is 114429559. The next prime is 114429583. The reversal of 114429579 is 975924411.

It is not a de Polignac number, because 114429579 - 25 = 114429547 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114429579.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114429529) 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, 11944 + ... + 19274.

It is an arithmetic number, because the mean of its divisors is an integer number (7151144).

Almost surely, 2114429579 is an apocalyptic number.

114429579 is a deficient number, since it is larger than the sum of its proper divisors (57197877).

114429579 is a wasteful number, since it uses less digits than its factorization.

114429579 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7388 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 114429579 is about 10697.1762161797. The cubic root of 114429579 is about 485.4890436813.

The spelling of 114429579 in words is "one hundred fourteen million, four hundred twenty-nine thousand, five hundred seventy-nine".

Divisors: 1 3 11 33 43 121 129 363 473 1419 5203 7331 15609 21993 80641 241923 315233 887051 945699 2661153 3467563 10402689 38143193 114429579