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14130144131241 = 3101211641344797
BaseRepresentation
bin1100110110011110111000…
…1110001011100010101001
31212000211101001001211021110
43031213232032023202221
53323002013344144431
650015144255300533
72655604100252445
oct315475616134251
955024331054243
1014130144131241
114558618a98746
12170262481a749
137b660b951328
1436bc8cb35825
15197856732346
hexcd9ee38b8a9

14130144131241 has 32 divisors (see below), whose sum is σ = 19146781892736. Its totient is φ = 9268116480000.

The previous prime is 14130144131227. The next prime is 14130144131251. The reversal of 14130144131241 is 14213144103141.

It is not a de Polignac number, because 14130144131241 - 26 = 14130144131177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14130144131199 and 14130144131208.

It is not an unprimeable number, because it can be changed into a prime (14130144131221) 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, 40808655 + ... + 41153451.

It is an arithmetic number, because the mean of its divisors is an integer number (598336934148).

Almost surely, 214130144131241 is an apocalyptic number.

It is an amenable number.

14130144131241 is a deficient number, since it is larger than the sum of its proper divisors (5016637761495).

14130144131241 is a wasteful number, since it uses less digits than its factorization.

14130144131241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345753.

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 14130144131241 its reverse (14213144103141), we get a palindrome (28343288234382).

The spelling of 14130144131241 in words is "fourteen trillion, one hundred thirty billion, one hundred forty-four million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 101 211 303 633 641 1923 21311 63933 64741 135251 194223 344797 405753 1034391 13660351 34824497 40981053 72752167 104473491 218256501 221014877 663044631 7347968867 22043906601 22322502577 46634139047 66967507731 139902417141 4710048043747 14130144131241