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131141130444 = 223221179172001
BaseRepresentation
bin111101000100010011…
…1101101100011001100
3110112111110011200022100
41322020213231203030
54122034112133234
6140125001315100
712321541134162
oct1721047554314
9415443150270
10131141130444
1150686827345
12214baa95a90
13c49c42674c
1464c0c73232
153628121399
hex1e889ed8cc

131141130444 has 36 divisors (see below), whose sum is σ = 331513214760. Its totient is φ = 43711392000.

The previous prime is 131141130443. The next prime is 131141130467. The reversal of 131141130444 is 444031141131.

131141130444 is a `hidden beast` number, since 1 + 311 + 4 + 1 + 1 + 304 + 44 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (131141130443) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 676444 + ... + 848444.

It is an arithmetic number, because the mean of its divisors is an integer number (9208700410).

Almost surely, 2131141130444 is an apocalyptic number.

It is an amenable number.

131141130444 is an abundant number, since it is smaller than the sum of its proper divisors (200372084316).

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

131141130444 is a wasteful number, since it uses less digits than its factorization.

131141130444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193190 (or 193185 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131141130444 its reverse (444031141131), we get a palindrome (575172271575).

The spelling of 131141130444 in words is "one hundred thirty-one billion, one hundred forty-one million, one hundred thirty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 21179 42358 63537 84716 127074 172001 190611 254148 344002 381222 516003 688004 762444 1032006 1548009 2064012 3096018 6192036 3642809179 7285618358 10928427537 14571236716 21856855074 32785282611 43713710148 65570565222 131141130444