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113431343314144 = 254382435569269
BaseRepresentation
bin11001110010101001001010…
…111011001011010011100000
3112212121221010100100202111211
4121302221022323023103200
5104331424342342023034
61041125350103315504
732615100300454402
oct3162511273132340
9485557110322454
10113431343314144
1133162a65174079
121087b90744bb94
134b3a6b6bc690b
14200216b9dcb72
15d1a922372d64
hex672a4aecb4e0

113431343314144 has 24 divisors (see below), whose sum is σ = 228511398016440. Its totient is φ = 55396702548096.

The previous prime is 113431343314141. The next prime is 113431343314259. The reversal of 113431343314144 is 441413343134311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113431343314097 and 113431343314106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113431343314141) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 41217783259 + ... + 41217786010.

It is an arithmetic number, because the mean of its divisors is an integer number (9521308250685).

Almost surely, 2113431343314144 is an apocalyptic number.

It is an amenable number.

113431343314144 is an abundant number, since it is smaller than the sum of its proper divisors (115080054702296).

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

113431343314144 is an equidigital number, since it uses as much as digits as its factorization.

113431343314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82435569322 (or 82435569314 counting only the distinct ones).

The product of its digits is 248832, while the sum is 40.

Adding to 113431343314144 its reverse (441413343134311), we get a palindrome (554844686448455).

The spelling of 113431343314144 in words is "one hundred thirteen trillion, four hundred thirty-one billion, three hundred forty-three million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 82435569269 164871138538 329742277076 659484554152 1318969108304 2637938216608 3544729478567 7089458957134 14178917914268 28357835828536 56715671657072 113431343314144