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134111424111431 = 13731371031523187
BaseRepresentation
bin11110011111100100111111…
…110010110110001101000111
3122120211221000201211022200212
4132133210333302312031013
5120034240144033031211
61153121534313230035
740151142053062454
oct3637447762661507
9576757021738625
10134111424111431
11398063766a69a8
121305b83870231b
1359aa86491bbb0
1425190558ac82b
15107882c6a538b
hex79f93fcb6347

134111424111431 has 16 divisors (see below), whose sum is σ = 147474807141984. Its totient is φ = 121208100447744.

The previous prime is 134111424111403. The next prime is 134111424111451.

It is a happy number.

134111424111431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 134111424111431 - 234 = 134094244242247 is a prime.

It is a super-3 number, since 3×1341114241114313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134111424111451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515631581 + ... + 515891606.

It is an arithmetic number, because the mean of its divisors is an integer number (9217175446374).

Almost surely, 2134111424111431 is an apocalyptic number.

134111424111431 is a deficient number, since it is larger than the sum of its proper divisors (13363383030553).

134111424111431 is a wasteful number, since it uses less digits than its factorization.

134111424111431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031523410.

The product of its digits is 4608, while the sum is 32.

The spelling of 134111424111431 in words is "one hundred thirty-four trillion, one hundred eleven billion, four hundred twenty-four million, one hundred eleven thousand, four hundred thirty-one".

Divisors: 1 13 73 137 949 1781 10001 130013 1031523187 13409801431 75301192651 141318676619 978915504463 1837142796047 10316263393187 134111424111431