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131142103311424 = 2625711177137989
BaseRepresentation
bin11101110100010111100110…
…011110111010010001000000
3122012100001200122212212212011
4131310113212132322101000
5114142113011421431144
61142525503415342304
736423463400525212
oct3564274636722100
9565301618785764
10131142103311424
11388710654a7267
1212860275081994
1358238550bcb8a
1424554513025b2
1510264914eea34
hex7745e67ba440

131142103311424 has 56 divisors (see below), whose sum is σ = 261481619220120. Its totient is φ = 65257427828736.

The previous prime is 131142103311389. The next prime is 131142103311449. The reversal of 131142103311424 is 424113301241131.

It can be written as a sum of positive squares in 4 ways, for example, as 3307422351424 + 127834680960000 = 1818632^2 + 11306400^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14803422 + ... + 21941410.

Almost surely, 2131142103311424 is an apocalyptic number.

It is an amenable number.

131142103311424 is a deficient number, since it is larger than the sum of its proper divisors (130339515908696).

131142103311424 is a wasteful number, since it uses less digits than its factorization.

131142103311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7139375 (or 7139365 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

Adding to 131142103311424 its reverse (424113301241131), we get a palindrome (555255404552555).

The spelling of 131142103311424 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred three million, three hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 257 514 1028 1117 2056 2234 4112 4468 8224 8936 16448 17872 35744 71488 287069 574138 1148276 2296552 4593104 7137989 9186208 14275978 18372416 28551956 57103912 114207824 228415648 456831296 1834463173 3668926346 7337852692 7973133713 14675705384 15946267426 29351410768 31892534852 58702821536 63785069704 117405643072 127570139408 255140278816 510280557632 2049095364241 4098190728482 8196381456964 16392762913928 32785525827856 65571051655712 131142103311424