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8541001341 = 34105444461
BaseRepresentation
bin1111111010001010…
…10101011001111101
3211001020101211020000
413331011111121331
5114442444020331
63531303144513
7421440212355
oct77505253175
924036354200
108541001341
1136931997a4
1217a4445139
13a61652762
145b0493b65
1534ec620e6
hex1fd15567d

8541001341 has 10 divisors (see below), whose sum is σ = 12758779902. Its totient is φ = 5694000840.

The previous prime is 8541001307. The next prime is 8541001361. The reversal of 8541001341 is 1431001458.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 5229459225 + 3311542116 = 72315^2 + 57546^2 .

It is not a de Polignac number, because 8541001341 - 215 = 8540968573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8541001361) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 52722150 + ... + 52722311.

Almost surely, 28541001341 is an apocalyptic number.

8541001341 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

8541001341 is a deficient number, since it is larger than the sum of its proper divisors (4217778561).

8541001341 is a wasteful number, since it uses less digits than its factorization.

8541001341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105444473 (or 105444464 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8541001341 is about 92417.5380596129. The cubic root of 8541001341 is about 2044.1037267384.

Adding to 8541001341 its reverse (1431001458), we get a palindrome (9972002799).

The spelling of 8541001341 in words is "eight billion, five hundred forty-one million, one thousand, three hundred forty-one".

Divisors: 1 3 9 27 81 105444461 316333383 949000149 2847000447 8541001341