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131142131223444 = 223211331166998039
BaseRepresentation
bin11101110100010111101000…
…001001011000101110010100
3122012100001202121101221221200
4131310113220021120232110
5114142113041043122234
61142525510253512500
736423464160006315
oct3564275011305624
9565301677357850
10131142131223444
113887107a230a50
12128602824a2730
13582385ab13673
142455454cca60c
151026493bb4d99
hex7745e8258b94

131142131223444 has 36 divisors (see below), whose sum is σ = 361634361859680. Its totient is φ = 39740039764560.

The previous prime is 131142131223421. The next prime is 131142131223451. The reversal of 131142131223444 is 444322131241131.

131142131223444 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 421 + 3 + 1 + 223 + 4 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1311421312234442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131142131223399 and 131142131223408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165583498624 + ... + 165583499415.

Almost surely, 2131142131223444 is an apocalyptic number.

It is an amenable number.

131142131223444 is an abundant number, since it is smaller than the sum of its proper divisors (230492230636236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131142131223444 is a wasteful number, since it uses less digits than its factorization.

131142131223444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331166998060 (or 331166998055 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

Adding to 131142131223444 its reverse (444322131241131), we get a palindrome (575464262464575).

The spelling of 131142131223444 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred thirty-one million, two hundred twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 331166998039 662333996078 993500994117 1324667992156 1987001988234 2980502982351 3642836978429 3974003976468 5961005964702 7285673956858 10928510935287 11922011929404 14571347913716 21857021870574 32785532805861 43714043741148 65571065611722 131142131223444