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131424334144 = 263677558473
BaseRepresentation
bin111101001100110000…
…0000011000101000000
3110120020012001220202021
41322121200003011000
54123124112143034
6140213035331224
712331550260015
oct1723140030500
9416205056667
10131424334144
1150811679494
12215798b0b14
13c515cc33bc
14650a71370c
153642e136b4
hex1e99803140

131424334144 has 28 divisors (see below), whose sum is σ = 260866556244. Its totient is φ = 65694178304.

The previous prime is 131424334121. The next prime is 131424334177. The reversal of 131424334144 is 441433424131.

It can be written as a sum of positive squares in 2 ways, for example, as 96497209600 + 34927124544 = 310640^2 + 186888^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43909 + ... + 514564.

It is an arithmetic number, because the mean of its divisors is an integer number (9316662723).

Almost surely, 2131424334144 is an apocalyptic number.

It is an amenable number.

131424334144 is a deficient number, since it is larger than the sum of its proper divisors (129442222100).

131424334144 is an equidigital number, since it uses as much as digits as its factorization.

131424334144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562162 (or 562152 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

Adding to 131424334144 its reverse (441433424131), we get a palindrome (572857758275).

The spelling of 131424334144 in words is "one hundred thirty-one billion, four hundred twenty-four million, three hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 3677 7354 14708 29416 58832 117664 235328 558473 1116946 2233892 4467784 8935568 17871136 35742272 2053505221 4107010442 8214020884 16428041768 32856083536 65712167072 131424334144