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131424144413441 = 112312733167718253
BaseRepresentation
bin11101111000011110010001…
…011100010101001100000001
3122020100000200120222100221112
4131320132101130111030001
5114211223121432212231
61143303230215133105
736453036546403445
oct3570362134251401
9566300616870845
10131424144413441
113896a737334710
12128a6a68074195
13584432237c519
142464d69276825
15102d99c22392b
hex778791715301

131424144413441 has 64 divisors (see below), whose sum is σ = 151470577483776. Its totient is φ = 112866308755200.

The previous prime is 131424144413383. The next prime is 131424144413461. The reversal of 131424144413441 is 144314441424131.

It is a happy number.

It is not a de Polignac number, because 131424144413441 - 214 = 131424144397057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131424144413461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7200130271 + ... + 7200148523.

It is an arithmetic number, because the mean of its divisors is an integer number (2366727773184).

Almost surely, 2131424144413441 is an apocalyptic number.

131424144413441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131424144413441 is a deficient number, since it is larger than the sum of its proper divisors (20046433070335).

131424144413441 is a wasteful number, since it uses less digits than its factorization.

131424144413441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19422.

The product of its digits is 294912, while the sum is 41.

Adding to 131424144413441 its reverse (144314441424131), we get a palindrome (275738585837572).

The spelling of 131424144413441 in words is "one hundred thirty-one trillion, four hundred twenty-four billion, one hundred forty-four million, four hundred thirteen thousand, four hundred forty-one".

Divisors: 1 11 23 127 253 331 677 1397 2921 3641 7447 7613 15571 18253 32131 42037 83743 85979 171281 200783 224087 419819 462407 945769 966851 1977517 2318131 2464957 4618009 5154001 6041743 10635361 12357281 21752687 25499441 28459049 53317013 56694011 66459173 135930091 138960089 284217463 313049539 586487143 654558127 767301361 1528560979 1569374687 3126392093 4090260011 7200139397 8440314971 17263121557 17647931303 36095617801 44992860121 94075980253 194127244333 397051795811 519463021397 1034835782783 5714093235367 11947649492131 131424144413441