Search a number
-
+
431673376134 = 2371113233124943
BaseRepresentation
bin1100100100000011011…
…11001111110110000110
31112021020001121120212210
412102001233033312012
524033031341014014
6530150310324250
743121161104330
oct6220157176606
91467201546783
10431673376134
11157087404710
126b7b2659686
13319255ba620
1416c70962450
15b3673b7859
hex6481bcfd86

431673376134 has 128 divisors (see below), whose sum is σ = 1209578323968. Its totient is φ = 98998162560.

The previous prime is 431673376109. The next prime is 431673376213.

431673376134 is nontrivially palindromic in base 10.

431673376134 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1424334 + ... + 1700609.

It is an arithmetic number, because the mean of its divisors is an integer number (9449830656).

Almost surely, 2431673376134 is an apocalyptic number.

431673376134 is an abundant number, since it is smaller than the sum of its proper divisors (777904947834).

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

431673376134 is a wasteful number, since it uses less digits than its factorization.

431673376134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125002.

The product of its digits is 2286144, while the sum is 48.

The spelling of 431673376134 in words is "four hundred thirty-one billion, six hundred seventy-three million, three hundred seventy-six thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 23 26 33 39 42 46 66 69 77 78 91 138 143 154 161 182 231 253 273 286 299 322 429 462 483 506 546 598 759 858 897 966 1001 1518 1771 1794 2002 2093 3003 3289 3542 4186 5313 6006 6279 6578 9867 10626 12558 19734 23023 46046 69069 138138 3124943 6249886 9374829 18749658 21874601 34374373 40624259 43749202 65623803 68748746 71873689 81248518 103123119 121872777 131247606 143747378 206246238 215621067 240620611 243745554 284369813 431242134 446866849 481241222 503115823 568739626 721861833 790610579 853109439 893733698 934357957 1006231646 1340600547 1443723666 1509347469 1581221158 1706218878 1868715914 2371831737 2681201094 2803073871 3018694938 3128067943 4743663474 5534274053 5606147742 6256135886 6540505699 9384203829 10277937527 11068548106 13081011398 16602822159 18768407658 19621517097 20555875054 30833812581 33205644318 39243034194 61667625162 71945562689 143891125378 215836688067 431673376134