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1346242426431 = 37197274641047
BaseRepresentation
bin10011100101110010010…
…011010011011000111111
311202200212221122002221120
4103211302103103120333
5134024101030121211
62510242155202023
7166156066550220
oct23456223233077
94680787562846
101346242426431
11479a35831641
12198ab1a46313
1399c47535b46
1449230c2d247
152504397ed06
hex139724d363f

1346242426431 has 32 divisors (see below), whose sum is σ = 2162357084160. Its totient is φ = 727790269536.

The previous prime is 1346242426423. The next prime is 1346242426483.

1346242426431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1346242426431 - 23 = 1346242426423 is a prime.

It is a super-2 number, since 2×13462424264312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1346242426421) 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 31 ways as a sum of consecutive naturals, for example, 2030451 + ... + 2610596.

It is an arithmetic number, because the mean of its divisors is an integer number (67573658880).

Almost surely, 21346242426431 is an apocalyptic number.

1346242426431 is a deficient number, since it is larger than the sum of its proper divisors (816114657729).

1346242426431 is a wasteful number, since it uses less digits than its factorization.

1346242426431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641803.

The product of its digits is 663552, while the sum is 42.

The spelling of 1346242426431 in words is "one trillion, three hundred forty-six billion, two hundred forty-two million, four hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 727 2181 5089 13813 15267 41439 96691 290073 4641047 13923141 32487329 88179893 97461987 264539679 617259251 1851777753 3374041169 10122123507 23618288183 64106782211 70854864549 192320346633 448747475477 1346242426431