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8441193141 = 34176130133
BaseRepresentation
bin1111101110010001…
…00110001010110101
3210210021121001010000
413313020212022311
5114241421140031
63513340021513
7416115646353
oct76710461265
923707531100
108441193141
113641919387
121776b31899
13a46a78354
145a11127d3
153460e93e6
hex1f72262b5

8441193141 has 20 divisors (see below), whose sum is σ = 13351431852. Its totient is φ = 5296434048.

The previous prime is 8441193127. The next prime is 8441193161. The reversal of 8441193141 is 1413911448.

It can be written as a sum of positive squares in 2 ways, for example, as 3800722500 + 4640470641 = 61650^2 + 68121^2 .

It is not a de Polignac number, because 8441193141 - 25 = 8441193109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8441193096 and 8441193105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8441193121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3063690 + ... + 3066443.

Almost surely, 28441193141 is an apocalyptic number.

8441193141 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8441193141 is a deficient number, since it is larger than the sum of its proper divisors (4910238711).

8441193141 is a wasteful number, since it uses less digits than its factorization.

8441193141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130162 (or 6130153 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 8441193141 is about 91875.9660683903. The cubic root of 8441193141 is about 2036.1101980675.

The spelling of 8441193141 in words is "eight billion, four hundred forty-one million, one hundred ninety-three thousand, one hundred forty-one".

Divisors: 1 3 9 17 27 51 81 153 459 1377 6130133 18390399 55171197 104212261 165513591 312636783 496540773 937910349 2813731047 8441193141