Search a number
-
+
4114435122 = 233710884749
BaseRepresentation
bin1111010100111101…
…0100110000110010
3101121202000221221000
43311033110300302
531411243410442
61520134342430
7203650056450
oct36517246062
911552027830
104114435122
111821545006
12969abaa16
1350754a6c5
142b06219d0
1519132bd4c
hexf53d4c32

4114435122 has 32 divisors (see below), whose sum is σ = 10449360000. Its totient is φ = 1175552784.

The previous prime is 4114435121. The next prime is 4114435133. The reversal of 4114435122 is 2215344114.

4114435122 is a `hidden beast` number, since 4 + 1 + 144 + 3 + 512 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4114435121) 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, 5441997 + ... + 5442752.

It is an arithmetic number, because the mean of its divisors is an integer number (326542500).

Almost surely, 24114435122 is an apocalyptic number.

4114435122 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4114435122 is an abundant number, since it is smaller than the sum of its proper divisors (6334924878).

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

4114435122 is a wasteful number, since it uses less digits than its factorization.

4114435122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10884767 (or 10884761 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4114435122 is about 64143.8626994041. The cubic root of 4114435122 is about 1602.3968142684.

Adding to 4114435122 its reverse (2215344114), we get a palindrome (6329779236).

The spelling of 4114435122 in words is "four billion, one hundred fourteen million, four hundred thirty-five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 10884749 21769498 32654247 65308494 76193243 97962741 152386486 195925482 228579729 293888223 457159458 587776446 685739187 1371478374 2057217561 4114435122