Search a number
-
+
134464343464431 = 3312444834001791
BaseRepresentation
bin11110100100101101101011…
…011011010101100111101111
3122122002122222021212000112000
4132210231223123111213233
5120111030433411330211
61153552022215543343
740215504532064121
oct3644555333254757
9578078867760460
10134464343464431
113993200a453382
12130b811068ab53
135a04c19276016
14252c174d53211
151082ad5b6c656
hex7a4b6b6d59ef

134464343464431 has 16 divisors (see below), whose sum is σ = 199206644613120. Its totient is φ = 89642801210040.

The previous prime is 134464343464427. The next prime is 134464343464433.

134464343464431 is a `hidden beast` number, since 1 + 3 + 44 + 64 + 3 + 43 + 464 + 43 + 1 = 666.

134464343464431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134464343464431 - 22 = 134464343464427 is a prime.

It is a super-2 number, since 2×1344643434644312 (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 (134464343464433) 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, 31600146 + ... + 35601936.

It is an arithmetic number, because the mean of its divisors is an integer number (12450415288320).

Almost surely, 2134464343464431 is an apocalyptic number.

134464343464431 is a deficient number, since it is larger than the sum of its proper divisors (64742301148689).

134464343464431 is a wasteful number, since it uses less digits than its factorization.

134464343464431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246283 (or 5246277 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 134464343464431 in words is "one hundred thirty-four trillion, four hundred sixty-four billion, three hundred forty-three million, four hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 1244483 3733449 4001791 11200347 12005373 33601041 36016119 108048357 4980160869053 14940482607159 44821447821477 134464343464431