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138205441 = 11113111187
BaseRepresentation
bin10000011110011…
…01100100000001
3100122001120020001
420033031210001
5240340033231
621414120001
73265504213
oct1017154401
9318046201
10138205441
1171016880
123a350001
132282c58a
14144d85b3
15c1eeb61
hex83cd901

138205441 has 8 divisors (see below), whose sum is σ = 152105184. Its totient is φ = 124528320.

The previous prime is 138205433. The next prime is 138205451. The reversal of 138205441 is 144502831.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138205441 - 23 = 138205433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138205421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54351 + ... + 56836.

It is an arithmetic number, because the mean of its divisors is an integer number (19013148).

Almost surely, 2138205441 is an apocalyptic number.

138205441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

138205441 is a deficient number, since it is larger than the sum of its proper divisors (13899743).

138205441 is a wasteful number, since it uses less digits than its factorization.

138205441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111311.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 138205441 is about 11756.0810221774. The cubic root of 138205441 is about 517.0212345696.

The spelling of 138205441 in words is "one hundred thirty-eight million, two hundred five thousand, four hundred forty-one".

Divisors: 1 11 113 1243 111187 1223057 12564131 138205441