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14213011031241 = 311500778600701
BaseRepresentation
bin1100111011010011100101…
…1110010100010011001001
31212022202021011202111201220
43032310321132110103021
53330331221310444431
650121211144432253
72664566443265211
oct316647136242311
955282234674656
1014213011031241
11458a782216170
1217166b0778689
137c1386a07b79
14371cb054b241
15199aa6752b96
hexced397944c9

14213011031241 has 16 divisors (see below), whose sum is σ = 20673885828288. Its totient is φ = 8613773064000.

The previous prime is 14213011031237. The next prime is 14213011031251.

14213011031241 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14213011031241 - 22 = 14213011031237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14213011031251) by changing a digit.

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, 2647810 + ... + 5952891.

It is an arithmetic number, because the mean of its divisors is an integer number (1292117864268).

Almost surely, 214213011031241 is an apocalyptic number.

14213011031241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14213011031241 is a deficient number, since it is larger than the sum of its proper divisors (6460874797047).

14213011031241 is a wasteful number, since it uses less digits than its factorization.

14213011031241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650792.

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 1421301 and 1031241, that added together give a palindrome (2452542).

The spelling of 14213011031241 in words is "fourteen trillion, two hundred thirteen billion, eleven million, thirty-one thousand, two hundred forty-one".

Divisors: 1 3 11 33 50077 150231 550847 1652541 8600701 25802103 94607711 283823133 430697303977 1292091911931 4737670343747 14213011031241