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14434142014131 = 3723311879157877
BaseRepresentation
bin1101001000001011010111…
…1010000100101010110011
31220002220001011201100100020
43102002311322010222303
53342442110323423011
650410541525054523
73016555331523300
oct322026572045263
956086034640306
1014434142014131
114665537962594
121751524b57443
13809197b0cac8
1437c88abda0a7
151a06e9d99006
hexd20b5e84ab3

14434142014131 has 48 divisors (see below), whose sum is σ = 22467378205440. Its totient is φ = 8218734068160.

The previous prime is 14434142014067. The next prime is 14434142014177. The reversal of 14434142014131 is 13141024143441.

It is not a de Polignac number, because 14434142014131 - 26 = 14434142014067 is a prime.

It is a super-2 number, since 2×144341420141312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14434142014092 and 14434142014101.

It is not an unprimeable number, because it can be changed into a prime (14434142010131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91347565 + ... + 91505441.

It is an arithmetic number, because the mean of its divisors is an integer number (468070379280).

Almost surely, 214434142014131 is an apocalyptic number.

14434142014131 is a deficient number, since it is larger than the sum of its proper divisors (8033236191309).

14434142014131 is a wasteful number, since it uses less digits than its factorization.

14434142014131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160104 (or 160097 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 14434142014131 its reverse (13141024143441), we get a palindrome (27575166157572).

The spelling of 14434142014131 in words is "fourteen trillion, four hundred thirty-four billion, one hundred forty-two million, fourteen thousand, one hundred thirty-one".

Divisors: 1 3 7 21 49 147 331 993 1879 2317 5637 6951 13153 16219 39459 48657 92071 157877 276213 473631 621949 1105139 1865847 3315417 4353643 7735973 13060929 23207919 30475501 52257287 91426503 156771861 296650883 365801009 889952649 1097403027 2076556181 2560607063 6229668543 7681821189 14535893267 43607679801 98191442273 294574326819 687340095911 2062020287733 4811380671377 14434142014131