Search a number
-
+
4042112500 = 2255323369
BaseRepresentation
bin1111000011101101…
…1011110111110100
3101102200221120221101
43300323123313310
531234240100000
61505032255444
7202111250356
oct36073336764
911380846841
104042112500
111794737a48
12949841584
134c557795a
142a4b970d6
15189ce2e6a
hexf0edbdf4

4042112500 has 36 divisors (see below), whose sum is σ = 8841582540. Its totient is φ = 1616840000.

The previous prime is 4042112467. The next prime is 4042112519. The reversal of 4042112500 is 52112404.

It can be written as a sum of positive squares in 6 ways, for example, as 2435225104 + 1606887396 = 49348^2 + 40086^2 .

It is a super-3 number, since 3×40421125003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149185 + ... + 174184.

It is an arithmetic number, because the mean of its divisors is an integer number (245599515).

Almost surely, 24042112500 is an apocalyptic number.

It is an amenable number.

4042112500 is an abundant number, since it is smaller than the sum of its proper divisors (4799470040).

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

4042112500 is an equidigital number, since it uses as much as digits as its factorization.

4042112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323398 (or 323376 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4042112500 is about 63577.6100525963. The cubic root of 4042112500 is about 1592.9524011099.

Adding to 4042112500 its reverse (52112404), we get a palindrome (4094224904).

The spelling of 4042112500 in words is "four billion, forty-two million, one hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 12500 323369 646738 1293476 1616845 3233690 6467380 8084225 16168450 32336900 40421125 80842250 161684500 202105625 404211250 808422500 1010528125 2021056250 4042112500