Search a number
-
+
1214430314130 = 2325112164956663
BaseRepresentation
bin10001101011000001101…
…011111111111010010010
311022002122201220000120100
4101223001223333322102
5124344123130023010
62325522424153230
7153511500230505
oct21530153777222
94262581800510
101214430314130
11429045285740
12177446308816
138a69c0c0117
1442ac8c1713c
15218cb9be2c0
hex11ac1affe92

1214430314130 has 96 divisors (see below), whose sum is σ = 3444785884800. Its totient is φ = 294388554240.

The previous prime is 1214430314101. The next prime is 1214430314131. The reversal of 1214430314130 is 314130344121.

1214430314130 is a `hidden beast` number, since 1 + 214 + 4 + 3 + 0 + 31 + 413 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1214430314094 and 1214430314103.

It is not an unprimeable number, because it can be changed into a prime (1214430314131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21404179 + ... + 21460841.

It is an arithmetic number, because the mean of its divisors is an integer number (35883186300).

Almost surely, 21214430314130 is an apocalyptic number.

1214430314130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1214430314130 is an abundant number, since it is smaller than the sum of its proper divisors (2230355570670).

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

1214430314130 is a wasteful number, since it uses less digits than its factorization.

1214430314130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78336 (or 78333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1214430314130 its reverse (314130344121), we get a palindrome (1528560658251).

The spelling of 1214430314130 in words is "one trillion, two hundred fourteen billion, four hundred thirty million, three hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 21649 43298 56663 64947 108245 113326 129894 169989 194841 216490 238139 283315 324735 339978 389682 476278 509967 566630 623293 649470 714417 849945 974205 1019934 1190695 1246586 1428834 1699890 1869879 1948410 2143251 2381390 2549835 3116465 3572085 3739758 4286502 5099670 5609637 6232930 7144170 9349395 10716255 11219274 18698790 21432510 28048185 56096370 1226697287 2453394574 3680091861 6133486435 7360183722 11040275583 12266972870 13493670157 18400459305 22080551166 26987340314 36800918610 40481010471 55201377915 67468350785 80962020942 110402755830 121443031413 134936701570 202405052355 242886062826 404810104710 607215157065 1214430314130