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131142204444 = 22343614166419
BaseRepresentation
bin111101000100010101…
…1110011110000011100
3110112111112012020120010
41322020223303300130
54122034401020234
6140125040323220
712321553226316
oct1721053636034
9415445166503
10131142204444
11506873a0249
12214bb313510
13c49c711554
1464c10727b6
1536282846e9
hex1e88af3c1c

131142204444 has 48 divisors (see below), whose sum is σ = 318247825280. Its totient is φ = 41997493440.

The previous prime is 131142204439. The next prime is 131142204493. The reversal of 131142204444 is 444402241131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2051734 + ... + 2114685.

Almost surely, 2131142204444 is an apocalyptic number.

It is an amenable number.

131142204444 is an abundant number, since it is smaller than the sum of its proper divisors (187105620836).

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

131142204444 is a wasteful number, since it uses less digits than its factorization.

131142204444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166530 (or 4166528 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 131142204444 its reverse (444402241131), we get a palindrome (575544445575).

The spelling of 131142204444 in words is "one hundred thirty-one billion, one hundred forty-two million, two hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 43 61 86 122 129 172 183 244 258 366 516 732 2623 5246 7869 10492 15738 31476 4166419 8332838 12499257 16665676 24998514 49997028 179156017 254151559 358312034 508303118 537468051 716624068 762454677 1016606236 1074936102 1524909354 2149872204 3049818708 10928517037 21857034074 32785551111 43714068148 65571102222 131142204444