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14053333335041 = 7111376118448481
BaseRepresentation
bin1100110010000000101111…
…1100001111110000000001
31211202111002222000002102202
43030200023330033300001
53320222211313210131
645520002345322545
72650214462254220
oct314401374176001
954674088002382
1014053333335041
114528a92330690
1216ab768a96455
137ac2ba477c70
14368283774cb7
1519585d22cbcb
hexcc80bf0fc01

14053333335041 has 32 divisors (see below), whose sum is σ = 18893606973696. Its totient is φ = 10095008256000.

The previous prime is 14053333335037. The next prime is 14053333335047.

14053333335041 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14053333335041 - 22 = 14053333335037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14053333334986 and 14053333335004.

It is not an unprimeable number, because it can be changed into a prime (14053333335047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8462480 + ... + 9986001.

It is an arithmetic number, because the mean of its divisors is an integer number (590425217928).

Almost surely, 214053333335041 is an apocalyptic number.

14053333335041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14053333335041 is a deficient number, since it is larger than the sum of its proper divisors (4840273638655).

14053333335041 is a wasteful number, since it uses less digits than its factorization.

14053333335041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18449273.

The product of its (nonzero) digits is 291600, while the sum is 38.

The spelling of 14053333335041 in words is "fourteen trillion, fifty-three billion, three hundred thirty-three million, three hundred thirty-five thousand, forty-one".

Divisors: 1 7 11 13 77 91 143 761 1001 5327 8371 9893 58597 69251 108823 761761 18448481 129139367 202933291 239830253 1420533037 1678811771 2638132783 14039294041 18466929481 98275058287 154432234451 182510822533 1081025641157 1277575757731 2007619047863 14053333335041