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131324444424 = 23331016019639
BaseRepresentation
bin111101001001110001…
…0111111111100001000
3110112222020002222211000
41322103202333330020
54122423024210144
6140155110335000
712326225234235
oct1722342777410
9415866088730
10131324444424
11507702528a8
122155035a460
13c4cb3bab64
1464db35078c
153639281769
hex1e938bff08

131324444424 has 64 divisors (see below), whose sum is σ = 368401968000. Its totient is φ = 43341393600.

The previous prime is 131324444417. The next prime is 131324444437. The reversal of 131324444424 is 424444423131.

It is a super-2 number, since 2×1313244444242 (a number of 23 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2988004 + ... + 3031635.

It is an arithmetic number, because the mean of its divisors is an integer number (5756280750).

Almost surely, 2131324444424 is an apocalyptic number.

It is an amenable number.

131324444424 is an abundant number, since it is smaller than the sum of its proper divisors (237077523576).

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

131324444424 is a wasteful number, since it uses less digits than its factorization.

131324444424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6019755 (or 6019745 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 131324444424 its reverse (424444423131), we get a palindrome (555768867555).

The spelling of 131324444424 in words is "one hundred thirty-one billion, three hundred twenty-four million, four hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2727 3636 5454 7272 10908 21816 6019639 12039278 18058917 24078556 36117834 48157112 54176751 72235668 108353502 144471336 162530253 216707004 325060506 433414008 607983539 650121012 1215967078 1300242024 1823950617 2431934156 3647901234 4863868312 5471851851 7295802468 10943703702 14591604936 16415555553 21887407404 32831111106 43774814808 65662222212 131324444424