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135441523350345 = 3589346129313587
BaseRepresentation
bin11110110010111011101111…
…111000110001101101001001
3122202120002020122012112111110
4132302323233320301231021
5120223033214434202340
61200020551000120533
740346220132055242
oct3662735770615511
9582502218175443
10135441523350345
113a179477a83853
1213235584166149
135a76108816674
142563594735cc9
15109d228ca8680
hex7b2eefe31b49

135441523350345 has 32 divisors (see below), whose sum is σ = 219204665976960. Its totient is φ = 71403205322240.

The previous prime is 135441523350299. The next prime is 135441523350457. The reversal of 135441523350345 is 543053325144531.

It is a happy number.

It is not a de Polignac number, because 135441523350345 - 26 = 135441523350281 is a prime.

It is a super-2 number, since 2×1354415233503452 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135441523350294 and 135441523350303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10036359 + ... + 19277228.

It is an arithmetic number, because the mean of its divisors is an integer number (6850145811780).

Almost surely, 2135441523350345 is an apocalyptic number.

135441523350345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135441523350345 is a deficient number, since it is larger than the sum of its proper divisors (83763142626615).

135441523350345 is a wasteful number, since it uses less digits than its factorization.

135441523350345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29317145.

The product of its (nonzero) digits is 6480000, while the sum is 48.

Adding to 135441523350345 its reverse (543053325144531), we get a palindrome (678494848494876).

The spelling of 135441523350345 in words is "one hundred thirty-five trillion, four hundred forty-one billion, five hundred twenty-three million, three hundred fifty thousand, three hundred forty-five".

Divisors: 1 3 5 15 89 267 445 1335 3461 10383 17305 51915 308029 924087 1540145 4620435 29313587 87940761 146567935 439703805 2608909243 7826727729 13044546215 39133638645 101454324607 304362973821 507271623035 1521814869105 9029434890023 27088304670069 45147174450115 135441523350345