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343130142344224 = 25115327133427913
BaseRepresentation
bin100111000000100110011011…
…0001111110000010000100000
31122222220220212120220221210211
41032001030312033300100200
5324433321012420003344
63213435451122103504
7132163222541501044
oct11601146617602040
91588826776827724
10343130142344224
119a371748a72754
1232598b064aab94
1311960058a22341
1460a3832168024
1529a090839e334
hex13813363f0420

343130142344224 has 48 divisors (see below), whose sum is σ = 676372776646392. Its totient is φ = 171353039044608.

The previous prime is 343130142344221. The next prime is 343130142344237. The reversal of 343130142344224 is 422443241031343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 334227867610000 + 8902274734224 = 18281900^2 + 2983668^2 .

It is not an unprimeable number, because it can be changed into a prime (343130142344221) 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 7 ways as a sum of consecutive naturals, for example, 98384892 + ... + 101812804.

Almost surely, 2343130142344224 is an apocalyptic number.

It is an amenable number.

343130142344224 is a deficient number, since it is larger than the sum of its proper divisors (333242634302168).

343130142344224 is a wasteful number, since it uses less digits than its factorization.

343130142344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431789 (or 3431781 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 343130142344224 its reverse (422443241031343), we get a palindrome (765573383375567).

The spelling of 343130142344224 in words is "three hundred forty-three trillion, one hundred thirty billion, one hundred forty-two million, three hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 1153 2306 2713 4612 5426 9224 10852 18448 21704 36896 43408 86816 3128089 3427913 6256178 6855826 12512356 13711652 25024712 27423304 50049424 54846608 100098848 109693216 3952383689 7904767378 9299927969 15809534756 18599855938 31619069512 37199711876 63238139024 74399423752 126476278048 148798847504 297597695008 10722816948257 21445633896514 42891267793028 85782535586056 171565071172112 343130142344224