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14114411441141 = 1119914071458239
BaseRepresentation
bin1100110101100100010001…
…1110101110101111110101
31211222022202121020100201112
43031121010132232233311
53322222303312104031
650004023205204405
72654506162510334
oct315310436565765
954868677210645
1014114411441141
114551985329820
1216bb573a00705
137b4ca238b64b
1436b1d94a7d1b
1519723543e62b
hexcd6447aebf5

14114411441141 has 16 divisors (see below), whose sum is σ = 15476047872000. Its totient is φ = 12765869146800.

The previous prime is 14114411441131. The next prime is 14114411441161.

14114411441141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14114411441141 - 210 = 14114411440117 is a prime.

It is a super-2 number, since 2×141144114411412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14114411441098 and 14114411441107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114411441131) 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, 30572300 + ... + 31030538.

It is an arithmetic number, because the mean of its divisors is an integer number (967252992000).

Almost surely, 214114411441141 is an apocalyptic number.

14114411441141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14114411441141 is a deficient number, since it is larger than the sum of its proper divisors (1361636430859).

14114411441141 is a wasteful number, since it uses less digits than its factorization.

14114411441141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472520.

The product of its digits is 4096, while the sum is 32.

It can be divided in two parts, 1411441 and 1441141, that added together give a palindrome (2852582).

The spelling of 14114411441141 in words is "fourteen trillion, one hundred fourteen billion, four hundred eleven million, four hundred forty-one thousand, one hundred forty-one".

Divisors: 1 11 199 2189 14071 154781 458239 2800129 5040629 30801419 91189561 1003085171 6447880969 70926690659 1283128312831 14114411441141