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134463364431 = 31129140505083
BaseRepresentation
bin111110100111010100…
…1000001110101001111
3110212001222112122120120
41331032221001311033
54200340110130211
6141434400320023
712500061511434
oct1751651016517
9425058478516
10134463364431
1152031077970
1222087613013
13c8ab7c1c86
146718199b8b
15376eb16d06
hex1f4ea41d4f

134463364431 has 16 divisors (see below), whose sum is σ = 202327320960. Its totient is φ = 78682845920.

The previous prime is 134463364411. The next prime is 134463364463.

134463364431 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 134463364431 - 27 = 134463364303 is a prime.

It is a super-2 number, since 2×1344633644312 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134463364411) 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, 70251585 + ... + 70253498.

It is an arithmetic number, because the mean of its divisors is an integer number (12645457560).

Almost surely, 2134463364431 is an apocalyptic number.

134463364431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134463364431 is a deficient number, since it is larger than the sum of its proper divisors (67863956529).

134463364431 is a wasteful number, since it uses less digits than its factorization.

134463364431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140505126.

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 134463 and 364431, that added together give a palindrome (498894).

The spelling of 134463364431 in words is "one hundred thirty-four billion, four hundred sixty-three million, three hundred sixty-four thousand, four hundred thirty-one".

Divisors: 1 3 11 29 33 87 319 957 140505083 421515249 1545555913 4074647407 4636667739 12223942221 44821121477 134463364431