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114358743 = 3331113619
BaseRepresentation
bin1101101000011…
…11100111010111
321222012000201000
412310033213113
5213233434433
615203034343
72556014262
oct664174727
9258160630
10114358743
1159609464
123236b9b3
131a9002c5
141128bcd9
15a08e113
hex6d0f9d7

114358743 has 16 divisors (see below), whose sum is σ = 169977600. Its totient is φ = 75988440.

The previous prime is 114358723. The next prime is 114358757. The reversal of 114358743 is 347853411.

It is a happy number.

It is not a de Polignac number, because 114358743 - 26 = 114358679 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114358698 and 114358707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114358703) 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, 1588 + ... + 15206.

It is an arithmetic number, because the mean of its divisors is an integer number (10623600).

Almost surely, 2114358743 is an apocalyptic number.

114358743 is a deficient number, since it is larger than the sum of its proper divisors (55618857).

114358743 is a wasteful number, since it uses less digits than its factorization.

114358743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13939 (or 13933 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 114358743 is about 10693.8647363804. The cubic root of 114358743 is about 485.3888446452.

The spelling of 114358743 in words is "one hundred fourteen million, three hundred fifty-eight thousand, seven hundred forty-three".

Divisors: 1 3 9 27 311 933 2799 8397 13619 40857 122571 367713 4235509 12706527 38119581 114358743