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134476343674431 = 3112616073086017
BaseRepresentation
bin11110100100111000110110…
…101100100000011000111111
3122122010210221121100211221020
4132210320312230200120333
5120111230022440040211
61154001325054035223
740216411105144113
oct3644706654403077
9578123847324836
10134476343674431
1139937108238800
12130ba4bb4a8b13
135a060ac4822b5
14252c9929c7743
151083089430306
hex7a4e36b2063f

134476343674431 has 24 divisors (see below), whose sum is σ = 200314669217712. Its totient is φ = 80164735411200.

The previous prime is 134476343674397. The next prime is 134476343674487.

134476343674431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134476343674431 - 214 = 134476343658047 is a prime.

It is a super-2 number, since 2×1344763436744312 (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 (134476343674531) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3036520866 + ... + 3036565151.

It is an arithmetic number, because the mean of its divisors is an integer number (8346444550738).

Almost surely, 2134476343674431 is an apocalyptic number.

134476343674431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134476343674431 is a deficient number, since it is larger than the sum of its proper divisors (65838325543281).

134476343674431 is a wasteful number, since it uses less digits than its factorization.

134476343674431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6073086103 (or 6073086092 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 60.

The spelling of 134476343674431 in words is "one hundred thirty-four trillion, four hundred seventy-six billion, three hundred forty-three million, six hundred seventy-four thousand, four hundred thirty-one".

Divisors: 1 3 11 33 61 121 183 363 671 2013 7381 22143 6073086017 18219258051 66803946187 200411838561 370458247037 734843408057 1111374741111 2204530224171 4075040717407 12225122152221 44825447891477 134476343674431