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138340441 = 175322897
BaseRepresentation
bin10000011111011…
…10100001011001
3100122022102102001
420033232201121
5240403343231
621421041001
73266605621
oct1017564131
9318272361
10138340441
11710a9248
123a3b6161
1322878b65
1414531881
15c229b61
hex83ee859

138340441 has 12 divisors (see below), whose sum is σ = 149345532. Its totient is φ = 127702016.

The previous prime is 138340439. The next prime is 138340451. The reversal of 138340441 is 144043831.

138340441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3316041 + 135024400 = 1821^2 + 11620^2 .

It is not a de Polignac number, because 138340441 - 21 = 138340439 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138340421) 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, 46305 + ... + 49201.

It is an arithmetic number, because the mean of its divisors is an integer number (12445461).

Almost surely, 2138340441 is an apocalyptic number.

It is an amenable number.

138340441 is a deficient number, since it is larger than the sum of its proper divisors (11005091).

138340441 is an equidigital number, since it uses as much as digits as its factorization.

138340441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 138340441 is about 11761.8213300492. The cubic root of 138340441 is about 517.1895230541.

The spelling of 138340441 in words is "one hundred thirty-eight million, three hundred forty thousand, four hundred forty-one".

Divisors: 1 17 53 901 2809 2897 47753 49249 153541 2610197 8137673 138340441