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140334404433041 = 7213220305187493
BaseRepresentation
bin11111111010001000100110…
…010100110111010010010001
3200101212211121221011212000002
4133322020212110313102101
5121343214330013324131
61214244422502335345
741362553236051100
oct3772104624672221
9611784557155002
10140334404433041
1140795539879285
12138a58b812a555
13603c62925a0a0
1426923157c8037
1511356472d66cb
hex7fa226537491

140334404433041 has 12 divisors (see below), whose sum is σ = 175803539620212. Its totient is φ = 111033814495968.

The previous prime is 140334404433001. The next prime is 140334404433089.

140334404433041 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 78915772737025 + 61418631696016 = 8883455^2 + 7837004^2 .

It is a de Polignac number, because none of the positive numbers 2k-140334404433041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 140334404432986 and 140334404433004.

It is not an unprimeable number, because it can be changed into a prime (140334404433001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110152593110 + ... + 110152594383.

It is an arithmetic number, because the mean of its divisors is an integer number (14650294968351).

Almost surely, 2140334404433041 is an apocalyptic number.

It is an amenable number.

140334404433041 is a deficient number, since it is larger than the sum of its proper divisors (35469135187171).

140334404433041 is a wasteful number, since it uses less digits than its factorization.

140334404433041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220305187520 (or 220305187513 counting only the distinct ones).

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

It can be divided in two parts, 14033440 and 4433041, that added together give a palindrome (18466481).

The spelling of 140334404433041 in words is "one hundred forty trillion, three hundred thirty-four billion, four hundred four million, four hundred thirty-three thousand, forty-one".

Divisors: 1 7 13 49 91 637 220305187493 1542136312451 2863967437409 10794954187157 20047772061863 140334404433041