Search a number
-
+
2014304231310 = 2357379137318433
BaseRepresentation
bin11101010011111101111…
…000110101111110001110
321010120021022210002102220
4131103331320311332032
5231000243340400220
64141205242200210
7265346223315240
oct35237570657616
97116238702386
102014304231310
11707297253558
122864764b3066
13117c42bc2c77
146d6c851c090
15375e3ba8540
hex1d4fde35f8e

2014304231310 has 128 divisors (see below), whose sum is σ = 5543861806080. Its totient is φ = 458838245376.

The previous prime is 2014304231309. The next prime is 2014304231333. The reversal of 2014304231310 is 131324034102.

It is a happy number.

It is a super-2 number, since 2×20143042313102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

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, 109267854 + ... + 109286286.

It is an arithmetic number, because the mean of its divisors is an integer number (43311420360).

Almost surely, 22014304231310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014304231310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771930903040).

2014304231310 is an abundant number, since it is smaller than the sum of its proper divisors (3529557574770).

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

2014304231310 is a wasteful number, since it uses less digits than its factorization.

2014304231310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20202.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2014304231310 its reverse (131324034102), we get a palindrome (2145628265412).

The spelling of 2014304231310 in words is "two trillion, fourteen billion, three hundred four million, two hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 379 758 1137 1373 1895 2274 2653 2746 3790 4119 5306 5685 6865 7959 8238 9611 11370 13265 13730 15918 18433 19222 20595 26530 28833 36866 39795 41190 48055 55299 57666 79590 92165 96110 110598 129031 144165 184330 258062 276495 288330 387093 520367 552990 645155 774186 1040734 1290310 1561101 1935465 2601835 3122202 3642569 3870930 5203670 6986107 7285138 7805505 10927707 13972214 15611010 18212845 20958321 21855414 25308509 34930535 36425690 41916642 48902749 50617018 54638535 69861070 75925527 97805498 104791605 109277070 126542545 146708247 151851054 177159563 209583210 244513745 253085090 293416494 354319126 379627635 489027490 531478689 733541235 759255270 885797815 1062957378 1467082470 1771595630 2657393445 5314786890 9591924911 19183849822 28775774733 47959624555 57551549466 67143474377 95919249110 134286948754 143878873665 201430423131 287757747330 335717371885 402860846262 671434743770 1007152115655 2014304231310