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140431626134041 = 11210123349317637
BaseRepresentation
bin11111111011100011001001…
…001100001110001000011001
3200102020010120110221222111211
4133323203021030032020121
5121401312432242242131
61214401222021023121
741402564415633364
oct3773431114161031
9612203513858454
10140431626134041
11408227999a9200
121390070b554aa1
13604885129a008
142696cd98730db
151137e376715b1
hex7fb8c930e219

140431626134041 has 24 divisors (see below), whose sum is σ = 156556080043272. Its totient is φ = 125858607072000.

The previous prime is 140431626134003. The next prime is 140431626134083.

140431626134041 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 75700509964816 + 64731116169225 = 8700604^2 + 8045565^2 .

It is not a de Polignac number, because 140431626134041 - 231 = 140429478650393 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 140431626133985 and 140431626134003.

It is not an unprimeable number, because it can be changed into a prime (140431626114041) 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, 21811326 + ... + 27506311.

It is an arithmetic number, because the mean of its divisors is an integer number (6523170001803).

Almost surely, 2140431626134041 is an apocalyptic number.

140431626134041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

140431626134041 is a deficient number, since it is larger than the sum of its proper divisors (16124453909231).

140431626134041 is a wasteful number, since it uses less digits than its factorization.

140431626134041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49317993 (or 49317982 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 140431626134041 in words is "one hundred forty trillion, four hundred thirty-one billion, six hundred twenty-six million, one hundred thirty-four thousand, forty-one".

Divisors: 1 11 101 121 233 1111 2563 12221 23533 28193 258863 2847493 49317637 542494007 4981081337 5967434077 11491009421 54791894707 126401103631 602710841777 1160591951521 1390412139941 12766511466731 140431626134041