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14213131404 = 22322946311171
BaseRepresentation
bin11010011110010101…
…10010110010001100
31100200112111212220020
431033022302302030
5213102030201104
610310204422140
71012133423613
oct151712626214
940615455806
1014213131404
116033a3aa9a
122907b47950
131456813134
1498b91687a
15582bd32d9
hex34f2b2c8c

14213131404 has 48 divisors (see below), whose sum is σ = 33383723520. Its totient is φ = 4706412480.

The previous prime is 14213131403. The next prime is 14213131453. The reversal of 14213131404 is 40413131241.

14213131404 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 2×142131314042 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14213131403) 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 15 ways as a sum of consecutive naturals, for example, 1266739 + ... + 1277909.

It is an arithmetic number, because the mean of its divisors is an integer number (695494240).

Almost surely, 214213131404 is an apocalyptic number.

It is an amenable number.

14213131404 is an abundant number, since it is smaller than the sum of its proper divisors (19170592116).

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

14213131404 is a wasteful number, since it uses less digits than its factorization.

14213131404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11870 (or 11868 counting only the distinct ones).

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

Adding to 14213131404 its reverse (40413131241), we get a palindrome (54626262645).

The spelling of 14213131404 in words is "fourteen billion, two hundred thirteen million, one hundred thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 229 458 463 687 916 926 1374 1389 1852 2748 2778 5556 11171 22342 33513 44684 67026 106027 134052 212054 318081 424108 636162 1272324 2558159 5116318 5172173 7674477 10232636 10344346 15348954 15516519 20688692 30697908 31033038 62066076 1184427617 2368855234 3553282851 4737710468 7106565702 14213131404