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4142983765 = 55315633901
BaseRepresentation
bin1111011011110000…
…1110101001010101
3101200201202101022011
43312330032221111
531441100440030
61523034304221
7204444531604
oct36674165125
911621671264
104142983765
111836674028
12977588071
13510434bab
142b4333a3b
15193abab2a
hexf6f0ea55

4142983765 has 8 divisors (see below), whose sum is σ = 5065384248. Its totient is φ = 3251851200.

The previous prime is 4142983751. The next prime is 4142983769. The reversal of 4142983765 is 5673892414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 906852996 + 3236130769 = 30114^2 + 56887^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4142983765 - 227 = 4008766037 is a prime.

It is a super-3 number, since 3×41429837653 (a number of 30 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142983769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7816686 + ... + 7817215.

It is an arithmetic number, because the mean of its divisors is an integer number (633173031).

Almost surely, 24142983765 is an apocalyptic number.

It is an amenable number.

4142983765 is a deficient number, since it is larger than the sum of its proper divisors (922400483).

4142983765 is a wasteful number, since it uses less digits than its factorization.

4142983765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15633959.

The product of its digits is 1451520, while the sum is 49.

The square root of 4142983765 is about 64366.0140524485. The cubic root of 4142983765 is about 1606.0944344285.

The spelling of 4142983765 in words is "four billion, one hundred forty-two million, nine hundred eighty-three thousand, seven hundred sixty-five".

Divisors: 1 5 53 265 15633901 78169505 828596753 4142983765