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14035131543141 = 3331157106804949
BaseRepresentation
bin1100110000111100111100…
…0001111010111001100101
31211200202010110010020222000
43030033033001322321211
53314422422133340031
645503352253555513
72646001433502432
oct314171701727145
954622113106860
1014035131543141
1145212a1951a65
1216a81291a5b99
137aa6794b38b7
1436743821ab89
151951452b43e6
hexcc3cf07ae65

14035131543141 has 32 divisors (see below), whose sum is σ = 21600233088000. Its totient is φ = 8997248819520.

The previous prime is 14035131543127. The next prime is 14035131543161. The reversal of 14035131543141 is 14134513153041.

It is a happy number.

14035131543141 is a `hidden beast` number, since 1 + 40 + 3 + 5 + 1 + 31 + 543 + 1 + 41 = 666.

It is not a de Polignac number, because 14035131543141 - 29 = 14035131542629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14035131543096 and 14035131543105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14035131543161) 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, 53271066 + ... + 53533883.

It is an arithmetic number, because the mean of its divisors is an integer number (675007284000).

Almost surely, 214035131543141 is an apocalyptic number.

It is an amenable number.

14035131543141 is a deficient number, since it is larger than the sum of its proper divisors (7565101544859).

14035131543141 is a wasteful number, since it uses less digits than its factorization.

14035131543141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106805146 (or 106805140 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 14035131543141 its reverse (14134513153041), we get a palindrome (28169644696182).

The spelling of 14035131543141 in words is "fourteen trillion, thirty-five billion, one hundred thirty-one million, five hundred forty-three thousand, one hundred forty-one".

Divisors: 1 3 9 27 31 93 157 279 471 837 1413 4239 4867 14601 43803 131409 106804949 320414847 961244541 2883733623 3310953419 9932860257 16768376993 29798580771 50305130979 89395742313 150915392937 452746178811 519819686783 1559459060349 4678377181047 14035131543141