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3134646464313 = 3713171405748049
BaseRepresentation
bin101101100111010111011…
…111010010111100111001
3102002200001220100100211210
4231213113133102330321
5402324223443324223
610400011532313333
7442320314214450
oct55472737227471
912080056310753
103134646464313
11aa943a233261
12427622912849
1319979923c9b0
14aba09515b97
1556815477893
hex2d9d77d2f39

3134646464313 has 64 divisors (see below), whose sum is σ = 5447126361600. Its totient is φ = 1556035633152.

The previous prime is 3134646464273. The next prime is 3134646464447.

3134646464313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3134646464313 - 218 = 3134646202169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3134646462313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65214513 + ... + 65262561.

It is an arithmetic number, because the mean of its divisors is an integer number (85111349400).

Almost surely, 23134646464313 is an apocalyptic number.

It is an amenable number.

3134646464313 is a deficient number, since it is larger than the sum of its proper divisors (2312479897287).

3134646464313 is a wasteful number, since it uses less digits than its factorization.

3134646464313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62146.

The product of its digits is 4478976, while the sum is 48.

The spelling of 3134646464313 in words is "three trillion, one hundred thirty-four billion, six hundred forty-six million, four hundred sixty-four thousand, three hundred thirteen".

Divisors: 1 3 7 13 17 21 39 51 91 119 221 273 357 663 1547 4641 14057 42171 48049 98399 144147 182741 238969 295197 336343 548223 624637 716907 816833 1009029 1279187 1672783 1873911 2450499 3106597 3837561 4372459 5018349 5717831 9319791 10618829 13117377 17153493 21746179 31856487 65238537 74331803 222995409 675424793 2026274379 4727973551 8780522309 11482221481 14183920653 26341566927 34446664443 61463656163 80375550367 149268879253 184390968489 241126651101 447806637759 1044882154771 3134646464313