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14134566543141 = 31117166915096049
BaseRepresentation
bin1100110110101111010111…
…0100010101111100100101
31212001020210020121121220210
43031223311310111330211
53323040043013340031
650021155155050033
72656121510163552
oct315536564257445
955036706547823
1014134566543141
11455a488365210
1217034598a0919
137b6b64c304c5
1436c18c205a29
15197a14ae6746
hexcdaf5d15f25

14134566543141 has 32 divisors (see below), whose sum is σ = 21781788624000. Its totient is φ = 8057666580480.

The previous prime is 14134566543137. The next prime is 14134566543161.

It is a happy number.

14134566543141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14134566543141 - 22 = 14134566543137 is a prime.

It is a super-2 number, since 2×141345665431412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134566543121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6611716 + ... + 8484333.

It is an arithmetic number, because the mean of its divisors is an integer number (680680894500).

Almost surely, 214134566543141 is an apocalyptic number.

14134566543141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14134566543141 is a deficient number, since it is larger than the sum of its proper divisors (7647222080859).

14134566543141 is a wasteful number, since it uses less digits than its factorization.

14134566543141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15097749.

The product of its digits is 2073600, while the sum is 48.

It can be divided in two parts, 1413456 and 6543141, that added together give a palindrome (7956597).

The spelling of 14134566543141 in words is "fourteen trillion, one hundred thirty-four billion, five hundred sixty-six million, five hundred forty-three thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 51 187 561 1669 5007 18359 28373 55077 85119 312103 936309 15096049 45288147 166056539 256632833 498169617 769898499 2822961163 8468883489 25195305781 75585917343 277148363591 428320198277 831445090773 1284960594831 4711522181047 14134566543141