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34402422423313 = 721814465786861
BaseRepresentation
bin1111101001001111100000…
…01010101111111100010001
311111210211122222011200111001
413310213300022233330101
514002122130120021223
6201100131002222001
710150331045511100
oct764476012577421
9144724588150431
1034402422423313
11aa63a9265255a
123a375057b4901
1316271996b3099
1486d12c4a8037
153e9d451829ad
hex1f49f02aff11

34402422423313 has 24 divisors (see below), whose sum is σ = 40241609075304. Its totient is φ = 29323880409600.

The previous prime is 34402422423287. The next prime is 34402422423329. The reversal of 34402422423313 is 31332422420443.

It can be written as a sum of positive squares in 4 ways, for example, as 259342692049 + 34143079731264 = 509257^2 + 5843208^2 .

It is not a de Polignac number, because 34402422423313 - 213 = 34402422415121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34402422423353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396019503 + ... + 396106363.

It is an arithmetic number, because the mean of its divisors is an integer number (1676733711471).

Almost surely, 234402422423313 is an apocalyptic number.

It is an amenable number.

34402422423313 is a deficient number, since it is larger than the sum of its proper divisors (5839186651991).

34402422423313 is a wasteful number, since it uses less digits than its factorization.

34402422423313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131713 (or 131706 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 34402422423313 its reverse (31332422420443), we get a palindrome (65734844843756).

The spelling of 34402422423313 in words is "thirty-four trillion, four hundred two billion, four hundred twenty-two million, four hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 7 49 181 1267 8869 44657 86861 312599 608027 2188193 4256189 8082917 15721841 56580419 110052887 396062933 770370209 3878951677 27152661739 190068632173 702090253537 4914631774759 34402422423313