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431012214343314 = 232892381112997197
BaseRepresentation
bin110001000000000001101100…
…1111011100000011010010010
32002112002100212021211020012200
41202000003121323200122102
5422443201003332441224
64124404140000304030
7156533414320311132
oct14200033173403222
92075070767736180
10431012214343314
1111537428759354a
124041107a612016
131566637b6270c6
1478611612d2ac2
1534c693bb2d5c9
hex18800d9ee0692

431012214343314 has 48 divisors (see below), whose sum is σ = 944749232982360. Its totient is φ = 141996796381440.

The previous prime is 431012214343241. The next prime is 431012214343357. The reversal of 431012214343314 is 413343412210134.

431012214343314 is a `hidden beast` number, since 4 + 3 + 1 + 0 + 1 + 2 + 214 + 3 + 433 + 1 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 253405550926089 + 177606663417225 = 15918717^2 + 13326915^2 .

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 23 ways as a sum of consecutive naturals, for example, 52684237 + ... + 60312960.

Almost surely, 2431012214343314 is an apocalyptic number.

431012214343314 is an abundant number, since it is smaller than the sum of its proper divisors (513737018639046).

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

431012214343314 is a wasteful number, since it uses less digits than its factorization.

431012214343314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112999675 (or 112999672 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 431012214343314 its reverse (413343412210134), we get a palindrome (844355626553448).

The spelling of 431012214343314 in words is "four hundred thirty-one trillion, twelve billion, two hundred fourteen million, three hundred forty-three thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 89 178 267 534 801 1602 2381 4762 7143 14286 21429 42858 211909 423818 635727 1271454 1907181 3814362 112997197 225994394 338991591 677983182 1016974773 2033949546 10056750533 20113501066 30170251599 60340503198 90510754797 181021509594 269046326057 538092652114 807138978171 1614277956342 2421416934513 4842833869026 23945123019073 47890246038146 71835369057219 143670738114438 215506107171657 431012214343314