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135415443432241 = 726445342877453
BaseRepresentation
bin11110110010100011011101…
…011001110010001100110001
3122202110120221002020102112201
4132302203131121302030301
5120222121312004312431
61200000555041023201
740344304632320500
oct3662433531621461
9582416832212481
10135415443432241
113a1694045a9325
1213230506024b01
135a73810640c6b
1425621dcb9a837
15109c6ee3ba461
hex7b28dd672331

135415443432241 has 12 divisors (see below), whose sum is σ = 157526534946612. Its totient is φ = 116068576524768.

The previous prime is 135415443432211. The next prime is 135415443432253. The reversal of 135415443432241 is 142234344514531.

It can be written as a sum of positive squares in 2 ways, for example, as 56656918272241 + 78758525160000 = 7527079^2 + 8874600^2 .

It is not a de Polignac number, because 135415443432241 - 215 = 135415443399473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135415443432191 and 135415443432200.

It is not an unprimeable number, because it can be changed into a prime (135415443432211) 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, 18280530 + ... + 24596923.

It is an arithmetic number, because the mean of its divisors is an integer number (13127211245551).

Almost surely, 2135415443432241 is an apocalyptic number.

It is an amenable number.

135415443432241 is a deficient number, since it is larger than the sum of its proper divisors (22111091514371).

135415443432241 is an equidigital number, since it uses as much as digits as its factorization.

135415443432241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42941920 (or 42941913 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 46.

Adding to 135415443432241 its reverse (142234344514531), we get a palindrome (277649787946772).

The spelling of 135415443432241 in words is "one hundred thirty-five trillion, four hundred fifteen billion, four hundred forty-three million, four hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 7 49 64453 451171 3158197 42877453 300142171 2100995197 2763580478209 19345063347463 135415443432241