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14134044142341 = 332233851609571
BaseRepresentation
bin1100110110101101011010…
…1011100010101100000101
31212001012102211121220202000
43031223112223202230011
53323033010300023331
650021031254135513
72656102534641264
oct315532653425405
955035384556660
1014134044142341
11455a23a498812
121703332951599
137b6ab09342c6
1436c13ca9c5db
151979d3d060e6
hexcdad6ae2b05

14134044142341 has 32 divisors (see below), whose sum is σ = 21038719242240. Its totient is φ = 9377990622000.

The previous prime is 14134044142271. The next prime is 14134044142357. The reversal of 14134044142341 is 14324144043141.

14134044142341 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 4 + 0 + 4 + 414 + 234 + 1 = 666.

It is not a de Polignac number, because 14134044142341 - 29 = 14134044141829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14134044142296 and 14134044142305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14134044142381) 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 31 ways as a sum of consecutive naturals, for example, 22882086 + ... + 23491656.

It is an arithmetic number, because the mean of its divisors is an integer number (657459976320).

Almost surely, 214134044142341 is an apocalyptic number.

It is an amenable number.

14134044142341 is a deficient number, since it is larger than the sum of its proper divisors (6904675099899).

14134044142341 is a wasteful number, since it uses less digits than its factorization.

14134044142341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613654 (or 613648 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 14134044142341 its reverse (14324144043141), we get a palindrome (28458188185482).

The spelling of 14134044142341 in words is "fourteen trillion, one hundred thirty-four billion, forty-four million, one hundred forty-two thousand, three hundred forty-one".

Divisors: 1 3 9 27 223 669 2007 3851 6021 11553 34659 103977 609571 858773 1828713 2576319 5486139 7728957 16458417 23186871 135934333 407802999 1223408997 2347457921 3670226991 7042373763 21127121289 63381363867 523483116383 1570449349149 4711348047447 14134044142341