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431134003314 = 232731110377369
BaseRepresentation
bin1100100011000011001…
…01101101000001110010
31112012211110200121110200
412101201211231001302
524030430301101224
6530021001540030
743101621363660
oct6214145550162
91465743617420
10431134003314
1115692a9a5953
126b681aa4616
133186a92b301
1416c1d07bc30
15b334d735c9
hex646196d072

431134003314 has 48 divisors (see below), whose sum is σ = 1102007662080. Its totient is φ = 119207557440.

The previous prime is 431134003259. The next prime is 431134003337. The reversal of 431134003314 is 413300431134.

431134003314 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 340 + 0 + 3 + 314 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55184779 + ... + 55192590.

It is an arithmetic number, because the mean of its divisors is an integer number (22958492960).

Almost surely, 2431134003314 is an apocalyptic number.

431134003314 is an abundant number, since it is smaller than the sum of its proper divisors (670873658766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

431134003314 is a wasteful number, since it uses less digits than its factorization.

431134003314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110377415 (or 110377412 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 431134003314 its reverse (413300431134), we get a palindrome (844434434448).

The spelling of 431134003314 in words is "four hundred thirty-one billion, one hundred thirty-four million, three thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 110377369 220754738 331132107 662264214 772641583 993396321 1545283166 1986792642 2317924749 3421698439 4635849498 6843396878 6953774247 10265095317 13907548494 20530190634 23951889073 30795285951 47903778146 61590571902 71855667219 143711334438 215567001657 431134003314