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1344340434431 = 101461178916139
BaseRepresentation
bin10011100100000000111…
…011110001110111111111
311202111222101200220102102
4103210000323301313333
5134011202122400211
62505325333015315
7166061003103101
oct23440073616777
94674871626372
101344340434431
1147914a145925
12198660a8453b
1399a034856a7
14490d03a7571
1524e819cba3b
hex13900ef1dff

1344340434431 has 16 divisors (see below), whose sum is σ = 1361440634400. Its totient is φ = 1327318224000.

The previous prime is 1344340434413. The next prime is 1344340434467.

1344340434431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1344340434431 is a prime.

It is a super-2 number, since 2×13443404344312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344340430431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83289560 + ... + 83305698.

It is an arithmetic number, because the mean of its divisors is an integer number (85090039650).

Almost surely, 21344340434431 is an apocalyptic number.

1344340434431 is a deficient number, since it is larger than the sum of its proper divisors (17100199969).

1344340434431 is a wasteful number, since it uses less digits than its factorization.

1344340434431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18490.

The product of its (nonzero) digits is 331776, while the sum is 38.

It can be divided in two parts, 1344340 and 434431, that added together give a palindrome (1778771).

The spelling of 1344340434431 in words is "one trillion, three hundred forty-four billion, three hundred forty million, four hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 101 461 1789 16139 46561 180689 824729 1630039 7440079 28872671 83297629 751447979 2916139771 13310301331 1344340434431