Search a number
-
+
4127113134 = 234297112373
BaseRepresentation
bin1111010111111110…
…1011111110101110
3101122121220001220000
43311333223332232
531423020110014
61521310205130
7204162611544
oct36577537656
911577801800
104127113134
111828714201
129721b37a6
1350a0691a1
142b21a1d94
151924d3509
hexf5febfae

4127113134 has 80 divisors (see below), whose sum is σ = 9702205920. Its totient is φ = 1309452480.

The previous prime is 4127113121. The next prime is 4127113141. The reversal of 4127113134 is 4313117214.

4127113134 is a `hidden beast` number, since 412 + 7 + 113 + 134 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4127113098 and 4127113107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327372 + ... + 339744.

It is an arithmetic number, because the mean of its divisors is an integer number (121277574).

Almost surely, 24127113134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4127113134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851102960).

4127113134 is an abundant number, since it is smaller than the sum of its proper divisors (5575092786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4127113134 is a wasteful number, since it uses less digits than its factorization.

4127113134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487 (or 12478 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 4127113134 is about 64242.6115129203. The cubic root of 4127113134 is about 1604.0409748075.

The spelling of 4127113134 in words is "four billion, one hundred twenty-seven million, one hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 71 81 87 142 162 174 213 261 426 522 639 783 1278 1566 1917 2059 2349 3834 4118 4698 5751 6177 11502 12354 12373 18531 24746 37062 37119 55593 74238 111186 111357 166779 222714 333558 334071 358817 668142 717634 878483 1002213 1076451 1756966 2004426 2152902 2635449 3229353 5270898 6458706 7906347 9688059 15812694 19376118 23719041 25476007 29064177 47438082 50952014 58128354 71157123 76428021 142314246 152856042 229284063 458568126 687852189 1375704378 2063556567 4127113134