Search a number
-
+
3140211312 = 2432737269313
BaseRepresentation
bin1011101100101011…
…1101001001110000
322002211212021002200
42323022331021300
522412343230222
61235333343200
7140550233010
oct27312751160
98084767080
103140211312
111371627267
12737797b00
133b0766b04
1421b0a3c40
15135a3ceac
hexbb2bd270

3140211312 has 240 divisors, whose sum is σ = 10386567360. Its totient is φ = 866930688.

The previous prime is 3140211241. The next prime is 3140211313. The reversal of 3140211312 is 2131120413.

3140211312 is a `hidden beast` number, since 3 + 140 + 211 + 312 = 666.

It is a super-2 number, since 2×31402113122 = 19721854168025522688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140211313) 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 47 ways as a sum of consecutive naturals, for example, 10032468 + ... + 10032780.

It is an arithmetic number, because the mean of its divisors is an integer number (43277364).

Almost surely, 23140211312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3140211312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193283680).

3140211312 is an abundant number, since it is smaller than the sum of its proper divisors (7246356048).

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

3140211312 is a wasteful number, since it uses less digits than its factorization.

3140211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3140211312 is about 56037.5883849403. The cubic root of 3140211312 is about 1464.3771983367.

Adding to 3140211312 its reverse (2131120413), we get a palindrome (5271331725).

The spelling of 3140211312 in words is "three billion, one hundred forty million, two hundred eleven thousand, three hundred twelve".