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134415343514431 = 7113331513386411
BaseRepresentation
bin11110100100000000000010…
…110011010111001100111111
3122121220222111101210122121001
4132210000002303113030333
5120104230110414430211
61153513320100551131
740212121342301050
oct3644000263271477
9577828441718531
10134415343514431
1139913255238731
12130aa7166b24a7
135a0040a760175
142529a47384727
1510816b8eb8ac1
hex7a4002cd733f

134415343514431 has 16 divisors (see below), whose sum is σ = 155445191371008. Its totient is φ = 113848570281600.

The previous prime is 134415343514429. The next prime is 134415343514443.

134415343514431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134415343514431 - 21 = 134415343514429 is a prime.

It is a super-2 number, since 2×1344153435144312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134415343514401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256431385 + ... + 256955026.

It is an arithmetic number, because the mean of its divisors is an integer number (9715324460688).

Almost surely, 2134415343514431 is an apocalyptic number.

134415343514431 is a deficient number, since it is larger than the sum of its proper divisors (21029847856577).

134415343514431 is a wasteful number, since it uses less digits than its factorization.

134415343514431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513386862.

The product of its digits is 2073600, while the sum is 46.

The spelling of 134415343514431 in words is "one hundred thirty-four trillion, four hundred fifteen billion, three hundred forty-three million, five hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 7 113 331 791 2317 37403 261821 513386411 3593704877 58012664443 169930902041 406088651101 1189516314287 19202191930633 134415343514431