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134424424431 = 32116720266007
BaseRepresentation
bin111110100110001010…
…0011110111111101111
3110211222021021021221100
41331030110132333233
54200300123040211
6141430445534143
712466106516643
oct1751424367757
9424867237840
10134424424431
11520110a0750
1222076574353
13c8a3709a5b
146712d40c23
15376b4c4156
hex1f4c51efef

134424424431 has 24 divisors (see below), whose sum is σ = 214981812864. Its totient is φ = 80253383760.

The previous prime is 134424424369. The next prime is 134424424441.

134424424431 is a `hidden beast` number, since 1 + 344 + 2 + 44 + 244 + 31 = 666.

134424424431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134424424431 - 211 = 134424422383 is a prime.

It is a super-2 number, since 2×1344244244312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134424424441) 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, 10126371 + ... + 10139636.

It is an arithmetic number, because the mean of its divisors is an integer number (8957575536).

Almost surely, 2134424424431 is an apocalyptic number.

134424424431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134424424431 is a deficient number, since it is larger than the sum of its proper divisors (80557388433).

134424424431 is a wasteful number, since it uses less digits than its factorization.

134424424431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20266091 (or 20266088 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 134424 and 424431, that added together give a palindrome (558855).

The spelling of 134424424431 in words is "one hundred thirty-four billion, four hundred twenty-four million, four hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 67 99 201 603 737 2211 6633 20266007 60798021 182394063 222926077 668778231 1357822469 2006334693 4073467407 12220402221 14936047159 44808141477 134424424431