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4142476745 = 511240916741
BaseRepresentation
bin1111011011101001…
…0010110111001001
3101200200210121210122
43312322102313021
531440433223440
61523015353025
7204440320451
oct36672226711
911620717718
104142476745
111836358100
12977382775
135102b8194
142b4240d61
15193a1a7b5
hexf6e92dc9

4142476745 has 24 divisors (see below), whose sum is σ = 5477647560. Its totient is φ = 3005164800.

The previous prime is 4142476727. The next prime is 4142476777. The reversal of 4142476745 is 5476742414.

4142476745 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2464427449 + 1678049296 = 49643^2 + 40964^2 .

It is not a de Polignac number, because 4142476745 - 28 = 4142476489 is a prime.

It is a super-2 number, since 2×41424767452 = 34320227165731590050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4142476696 and 4142476705.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 239075 + ... + 255815.

It is an arithmetic number, because the mean of its divisors is an integer number (228235315).

Almost surely, 24142476745 is an apocalyptic number.

It is an amenable number.

4142476745 is a deficient number, since it is larger than the sum of its proper divisors (1335170815).

4142476745 is a wasteful number, since it uses less digits than its factorization.

4142476745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17177 (or 17166 counting only the distinct ones).

The product of its digits is 752640, while the sum is 44.

The square root of 4142476745 is about 64362.0753627476. The cubic root of 4142476745 is about 1606.0289135972.

The spelling of 4142476745 in words is "four billion, one hundred forty-two million, four hundred seventy-six thousand, seven hundred forty-five".

Divisors: 1 5 11 55 121 409 605 2045 4499 16741 22495 49489 83705 184151 247445 920755 2025661 6847069 10128305 34235345 75317759 376588795 828495349 4142476745