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4144412232 = 233257561281
BaseRepresentation
bin1111011100000110…
…1011011001001000
3101200211102221210100
43313001223121020
531441432142412
61523125045400
7204462631332
oct36701533110
911624387710
104144412232
11183745a284
12977b56860
1351081513c
142b45c6452
15193c9dedc
hexf706b648

4144412232 has 24 divisors (see below), whose sum is σ = 11224449990. Its totient is φ = 1381470720.

The previous prime is 4144412231. The next prime is 4144412249. The reversal of 4144412232 is 2322144414.

4144412232 is a `hidden beast` number, since 4 + 14 + 4 + 412 + 232 = 666.

4144412232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4021335396 + 123076836 = 63414^2 + 11094^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4144412196 and 4144412205.

It is not an unprimeable number, because it can be changed into a prime (4144412231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28780569 + ... + 28780712.

Almost surely, 24144412232 is an apocalyptic number.

It is an amenable number.

4144412232 is an abundant number, since it is smaller than the sum of its proper divisors (7080037758).

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

4144412232 is a wasteful number, since it uses less digits than its factorization.

4144412232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57561293 (or 57561286 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4144412232 is about 64377.1095343679. The cubic root of 4144412232 is about 1606.2790026366.

Adding to 4144412232 its reverse (2322144414), we get a palindrome (6466556646).

The spelling of 4144412232 in words is "four billion, one hundred forty-four million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 57561281 115122562 172683843 230245124 345367686 460490248 518051529 690735372 1036103058 1381470744 2072206116 4144412232