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131668831044 = 223419210612
BaseRepresentation
bin111101010100000010…
…0101110101101000100
3110120212020010122110000
41322220010232231010
54124124210043134
6140253212001300
712340606411662
oct1725004565504
9416766118400
10131668831044
1150927693643
1221627760230
13c55485a01a
146530d99c32
15365960be99
hex1ea812eb44

131668831044 has 135 divisors (see below), whose sum is σ = 363620761581. Its totient is φ = 41540441760.

The previous prime is 131668831037. The next prime is 131668831079. The reversal of 131668831044 is 440138866131.

The square root of 131668831044 is 362862.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 86707869444 + 44960961600 = 294462^2 + 212040^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 124098274 + ... + 124099334.

Almost surely, 2131668831044 is an apocalyptic number.

131668831044 is the 362862-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131668831044

131668831044 is an abundant number, since it is smaller than the sum of its proper divisors (231951930537).

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

131668831044 is an equidigital number, since it uses as much as digits as its factorization.

131668831044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 131668831044 in words is "one hundred thirty-one billion, six hundred sixty-eight million, eight hundred thirty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 513 684 722 1026 1061 1083 1444 1539 2052 2122 2166 3078 3183 3249 4244 4332 6156 6366 6498 9549 9747 12732 12996 19098 19494 20159 28647 29241 38196 38988 40318 57294 58482 60477 80636 85941 114588 116964 120954 171882 181431 241908 343764 362862 383021 544293 725724 766042 1088586 1125721 1149063 1532084 1632879 2177172 2251442 2298126 3265758 3377163 3447189 4502884 4596252 6531516 6754326 6894378 10131489 10341567 13508652 13788756 20262978 20683134 21388699 30394467 31024701 40525956 41366268 42777398 60788934 62049402 64166097 85554796 91183401 121577868 124098804 128332194 182366802 192498291 256664388 364733604 384996582 406385281 577494873 769993164 812770562 1154989746 1219155843 1625541124 1732484619 2309979492 2438311686 3464969238 3657467529 4876623372 6929938476 7314935058 10972402587 14629870116 21944805174 32917207761 43889610348 65834415522 131668831044