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4114240420 = 2251801114221
BaseRepresentation
bin1111010100111010…
…0101001110100100
3101121201200001211211
43311032211032210
531411221143140
61520130241204
7203645316013
oct36516451644
911551601754
104114240420
1118214217a4
12969a26204
135074acbb4
142b05b0a7a
151912de2ea
hexf53a53a4

4114240420 has 24 divisors (see below), whose sum is σ = 8644777848. Its totient is φ = 1644768000.

The previous prime is 4114240409. The next prime is 4114240433. The reversal of 4114240420 is 240424114.

It can be written as a sum of positive squares in 4 ways, for example, as 66227044 + 4048013376 = 8138^2 + 63624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4114240391 and 4114240400.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21091 + ... + 93130.

It is an arithmetic number, because the mean of its divisors is an integer number (360199077).

Almost surely, 24114240420 is an apocalyptic number.

It is an amenable number.

4114240420 is an abundant number, since it is smaller than the sum of its proper divisors (4530537428).

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

4114240420 is a wasteful number, since it uses less digits than its factorization.

4114240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116031 (or 116029 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4114240420 is about 64142.3449836378. The cubic root of 4114240420 is about 1602.3715378310.

Adding to 4114240420 its reverse (240424114), we get a palindrome (4354664534).

The spelling of 4114240420 in words is "four billion, one hundred fourteen million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1801 3602 7204 9005 18010 36020 114221 228442 456884 571105 1142210 2284420 205712021 411424042 822848084 1028560105 2057120210 4114240420