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320424424023 = 31128334310357
BaseRepresentation
bin1001010100110101100…
…10001011001001010111
31010122001221002021022010
410222122302023021113
520222212123032043
6403111223235303
732102262444144
oct4523262131127
91118057067263
10320424424023
11113989263380
12521255a8b33
13242a6419b02
14117199493cb
158505815133
hex4a9ac8b257

320424424023 has 16 divisors (see below), whose sum is σ = 467718800256. Its totient is φ = 193510407840.

The previous prime is 320424423947. The next prime is 320424424037.

320424424023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320424424023 - 29 = 320424423511 is a prime.

It is a super-3 number, since 3×3204244240233 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320424424223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17145840 + ... + 17164517.

It is an arithmetic number, because the mean of its divisors is an integer number (29232425016).

Almost surely, 2320424424023 is an apocalyptic number.

320424424023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

320424424023 is a deficient number, since it is larger than the sum of its proper divisors (147294376233).

320424424023 is a wasteful number, since it uses less digits than its factorization.

320424424023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34310654.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 320424 and 424023, that added together give a palindrome (744447).

The spelling of 320424424023 in words is "three hundred twenty billion, four hundred twenty-four million, four hundred twenty-four thousand, twenty-three".

Divisors: 1 3 11 33 283 849 3113 9339 34310357 102931071 377413927 1132241781 9709831031 29129493093 106808141341 320424424023