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131404101410112 = 2634714561624713
BaseRepresentation
bin11101111000001011100110…
…110010010101110101000000
3122020021002221202112022012220
4131320023212302111311000
5114210411044430110422
61143250113312051040
736451430062602426
oct3570134662256500
9566232852468186
10131404101410112
1138962191603653
12128a2bb3833a80
135842479ac903b
142463dc7399116
15102d1c7810e5c
hex7782e6c95d40

131404101410112 has 56 divisors (see below), whose sum is σ = 355070657026176. Its totient is φ = 42869423152128.

The previous prime is 131404101410083. The next prime is 131404101410167. The reversal of 131404101410112 is 211014101404131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7280803333 + ... + 7280821380.

It is an arithmetic number, because the mean of its divisors is an integer number (6340547446896).

Almost surely, 2131404101410112 is an apocalyptic number.

131404101410112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131404101410112 is an abundant number, since it is smaller than the sum of its proper divisors (223666555616064).

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

131404101410112 is a wasteful number, since it uses less digits than its factorization.

131404101410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14561624775 (or 14561624765 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 131404101410112 its reverse (211014101404131), we get a palindrome (342418202814243).

The spelling of 131404101410112 in words is "one hundred thirty-one trillion, four hundred four billion, one hundred one million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 14561624713 29123249426 43684874139 58246498852 87369748278 116492997704 174739496556 232985995408 349478993112 465971990816 684396361511 698957986224 931943981632 1368792723022 1397915972448 2053189084533 2737585446044 2795831944896 4106378169066 5475170892088 8212756338132 10950341784176 16425512676264 21900683568352 32851025352528 43801367136704 65702050705056 131404101410112