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131404042144011 = 37131753534221407
BaseRepresentation
bin11101111000001011100011…
…010000010000100100001011
3122020021002210122000021102010
4131320023203100100210023
5114210410434242102021
61143250103353511003
736451425443053110
oct3570134320204413
9566232718007363
10131404042144011
11389621611040aa
12128a2b97a12463
13584246a748140
142463dbd56c907
15102d1c2505976
hex7782e341090b

131404042144011 has 64 divisors (see below), whose sum is σ = 232629917442048. Its totient is φ = 64003998210048.

The previous prime is 131404042143961. The next prime is 131404042144013. The reversal of 131404042144011 is 110441240404131.

It is not a de Polignac number, because 131404042144011 - 29 = 131404042143499 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131404042144011.

It is not an unprimeable number, because it can be changed into a prime (131404042144013) 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, 266864731 + ... + 267356676.

It is an arithmetic number, because the mean of its divisors is an integer number (3634842460032).

Almost surely, 2131404042144011 is an apocalyptic number.

131404042144011 is a deficient number, since it is larger than the sum of its proper divisors (101225875298037).

131404042144011 is a wasteful number, since it uses less digits than its factorization.

131404042144011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534221500.

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 131404042144011 its reverse (110441240404131), we get a palindrome (241845282548142).

The spelling of 131404042144011 in words is "one hundred thirty-one trillion, four hundred four billion, forty-two million, one hundred forty-four thousand, eleven".

Divisors: 1 3 7 13 17 21 39 51 53 91 119 159 221 273 357 371 663 689 901 1113 1547 2067 2703 4641 4823 6307 11713 14469 18921 35139 81991 245973 534221407 1602664221 3739549849 6944878291 9081763919 11218649547 20834634873 27245291757 28313734571 48614148037 63572347433 84941203713 118062930947 145842444111 190717042299 198196141997 354188792841 368078549423 481333487707 594588425991 826440516629 1104235648269 1444000463121 2479321549887 2576549845961 3369334413949 6257335340191 7729649537883 10108003241847 18772006020573 43801347381337 131404042144011