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14112211221141 = 311820135214329
BaseRepresentation
bin1100110101011100000101…
…0101100011101010010101
31211222010002021010121021220
43031113001111203222111
53322203302033034031
650003021011000553
72654400515113635
oct315270125435225
954863067117256
1014112211221141
114550a56369990
1216bb05ab99159
137b4a115b0b17
1436b06b1b06c5
151971571cc596
hexcd5c1563a95

14112211221141 has 16 divisors (see below), whose sum is σ = 20527106909760. Its totient is φ = 8552749358720.

The previous prime is 14112211221131. The next prime is 14112211221223.

14112211221141 is nontrivially palindromic in base 10.

14112211221141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 14112211221141 - 26 = 14112211221077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14112211221131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99265 + ... + 5313593.

It is an arithmetic number, because the mean of its divisors is an integer number (1282944181860).

Almost surely, 214112211221141 is an apocalyptic number.

14112211221141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14112211221141 is a deficient number, since it is larger than the sum of its proper divisors (6414895688619).

14112211221141 is a wasteful number, since it uses less digits than its factorization.

14112211221141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5296356.

The product of its digits is 256, while the sum is 24.

It can be divided in two parts, 1411221 and 1221141, that added together give a palindrome (2632362).

The spelling of 14112211221141 in words is "fourteen trillion, one hundred twelve billion, two hundred eleven million, two hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 11 33 82013 246039 902143 2706429 5214329 15642987 57357619 172072857 427642764277 1282928292831 4704070407047 14112211221141