Search a number
-
+
12141331404 = 2233727345341
BaseRepresentation
bin10110100111010111…
…00000001111001100
31011100011001112120220
423103223200033030
5144331140101104
65324434511340
7606605420436
oct132353401714
934304045526
1012141331404
115170512a94
12242a135550
1311b6519b87
148326cb656
154b0d8b7d9
hex2d3ae03cc

12141331404 has 24 divisors (see below), whose sum is σ = 29095443888. Its totient is φ = 3937728960.

The previous prime is 12141331403. The next prime is 12141331421. The reversal of 12141331404 is 40413314121.

12141331404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121413314042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12141331403) 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 7 ways as a sum of consecutive naturals, for example, 13672227 + ... + 13673114.

It is an arithmetic number, because the mean of its divisors is an integer number (1212310162).

Almost surely, 212141331404 is an apocalyptic number.

It is an amenable number.

12141331404 is an abundant number, since it is smaller than the sum of its proper divisors (16954112484).

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

12141331404 is a wasteful number, since it uses less digits than its factorization.

12141331404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27345385 (or 27345383 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12141331404 its reverse (40413314121), we get a palindrome (52554645525).

The spelling of 12141331404 in words is "twelve billion, one hundred forty-one million, three hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 27345341 54690682 82036023 109381364 164072046 328144092 1011777617 2023555234 3035332851 4047110468 6070665702 12141331404