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14220141204141 = 327092228512961
BaseRepresentation
bin1100111011101110001001…
…1101110001001010101101
31212100102200002102211011200
43032323202131301022231
53330440322122013031
650124350453040113
72665241232615255
oct316734235611255
955312602384150
1014220141204141
114592800a9a644
121717b60626039
137c1c51c8a1a2
143723894b0965
15199d726d18e6
hexceee27712ad

14220141204141 has 12 divisors (see below), whose sum is σ = 20569174639260. Its totient is φ = 9466723054080.

The previous prime is 14220141204131. The next prime is 14220141204223. The reversal of 14220141204141 is 14140214102241.

14220141204141 is a `hidden beast` number, since 1 + 4 + 2 + 201 + 41 + 2 + 0 + 414 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3342512688516 + 10877628515625 = 1828254^2 + 3298125^2 .

It is not a de Polignac number, because 14220141204141 - 214 = 14220141187757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14220141204131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1114250100 + ... + 1114262861.

It is an arithmetic number, because the mean of its divisors is an integer number (1714097886605).

Almost surely, 214220141204141 is an apocalyptic number.

It is an amenable number.

14220141204141 is a deficient number, since it is larger than the sum of its proper divisors (6349033435119).

14220141204141 is a wasteful number, since it uses less digits than its factorization.

14220141204141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228513676 (or 2228513673 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 14220141204141 its reverse (14140214102241), we get a palindrome (28360355306382).

The spelling of 14220141204141 in words is "fourteen trillion, two hundred twenty billion, one hundred forty-one million, two hundred four thousand, one hundred forty-one".

Divisors: 1 3 9 709 2127 6381 2228512961 6685538883 20056616649 1580015689349 4740047068047 14220141204141