Search a number
-
+
4414412431 = 1113311277841
BaseRepresentation
bin1000001110001111…
…01001011010001111
3102101122111101102201
410013013221122033
533020042144211
62010012102331
7214251613042
oct40707513217
912348441381
104414412431
111965903440
12a324649a7
1355473b080
142dc3cac59
151ac8340c1
hex1071e968f

4414412431 has 32 divisors (see below), whose sum is σ = 5396299776. Its totient is φ = 3556224000.

The previous prime is 4414412417. The next prime is 4414412441. The reversal of 4414412431 is 1342144144.

It is a cyclic number.

It is not a de Polignac number, because 4414412431 - 25 = 4414412399 is a prime.

It is a super-2 number, since 2×44144124312 = 38974074221934659522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4414412431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414412411) 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 31 ways as a sum of consecutive naturals, for example, 559071 + ... + 566911.

It is an arithmetic number, because the mean of its divisors is an integer number (168634368).

Almost surely, 24414412431 is an apocalyptic number.

4414412431 is a deficient number, since it is larger than the sum of its proper divisors (981887345).

4414412431 is a wasteful number, since it uses less digits than its factorization.

4414412431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8023.

The product of its digits is 6144, while the sum is 28.

The square root of 4414412431 is about 66441.0447765536. The cubic root of 4414412431 is about 1640.4297444841.

Adding to 4414412431 its reverse (1342144144), we get a palindrome (5756556575).

The spelling of 4414412431 in words is "four billion, four hundred fourteen million, four hundred twelve thousand, four hundred thirty-one".

Divisors: 1 11 13 31 127 143 341 403 1397 1651 3937 4433 7841 18161 43307 51181 86251 101933 243071 562991 995807 1121263 2673781 3159923 10953877 12945491 30870017 34759153 142400401 339570187 401310221 4414412431