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14204412141444 = 2233718788904949
BaseRepresentation
bin1100111010110011100011…
…1100001001111110000100
31212021221001220102122111000
43032230320330021332010
53330211114002011234
650113230012413300
72664143401031520
oct316547074117604
955257056378430
1014204412141444
11458706a388a78
121714ab0a77230
137c06163975b5
143716d6508d80
151997518a8899
hexceb38f09f84

14204412141444 has 48 divisors (see below), whose sum is σ = 42087147088000. Its totient is φ = 4058403468768.

The previous prime is 14204412141383. The next prime is 14204412141473. The reversal of 14204412141444 is 44414121440241.

14204412141444 is a `hidden beast` number, since 1 + 4 + 20 + 44 + 12 + 141 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14204412141399 and 14204412141408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9394451719 + ... + 9394453230.

Almost surely, 214204412141444 is an apocalyptic number.

14204412141444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14204412141444 is an abundant number, since it is smaller than the sum of its proper divisors (27882734946556).

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

14204412141444 is a wasteful number, since it uses less digits than its factorization.

14204412141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18788904969 (or 18788904961 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 14204412141444 its reverse (44414121440241), we get a palindrome (58618533581685).

The spelling of 14204412141444 in words is "fourteen trillion, two hundred four billion, four hundred twelve million, one hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 18788904949 37577809898 56366714847 75155619796 112733429694 131522334643 169100144541 225466859388 263044669286 338200289082 394567003929 507300433623 526089338572 676400578164 789134007858 1014600867246 1183701011787 1578268015716 2029201734492 2367402023574 3551103035361 4734804047148 7102206070722 14204412141444