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14135233253141 = 7111314121112141
BaseRepresentation
bin1100110110110001110110…
…0011101000111100010101
31212001022111201011000002202
43031230131203220330111
53323042424203100031
650021345253014245
72656144154134520
oct315543543507425
955038451130082
1014135233253141
11455a79a737310
121703605024385
137b6c400b5270
1436c212995bb7
15197a533e02cb
hexcdb1d8e8f15

14135233253141 has 16 divisors (see below), whose sum is σ = 18978774718848. Its totient is φ = 10167200740800.

The previous prime is 14135233253107. The next prime is 14135233253143.

It is a happy number.

14135233253141 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14135233253141 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14135233253095 and 14135233253104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14135233253143) 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, 7060555070 + ... + 7060557071.

It is an arithmetic number, because the mean of its divisors is an integer number (1186173419928).

Almost surely, 214135233253141 is an apocalyptic number.

14135233253141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14135233253141 is a deficient number, since it is larger than the sum of its proper divisors (4843541465707).

14135233253141 is a wasteful number, since it uses less digits than its factorization.

14135233253141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14121112172.

The product of its digits is 129600, while the sum is 38.

It can be divided in two parts, 1413523 and 3253141, that added together give a palindrome (4666664).

The spelling of 14135233253141 in words is "fourteen trillion, one hundred thirty-five billion, two hundred thirty-three million, two hundred fifty-three thousand, one hundred forty-one".

Divisors: 1 7 11 13 77 91 143 1001 14121112141 98847784987 155332233551 183574457833 1087325634857 1285021204831 2019319036163 14135233253141