Search a number
-
+
14303022930 = 2345717148387
BaseRepresentation
bin11010101001000011…
…01100111101010010
31100220210122211220000
431110201230331102
5213243033213210
610323135230430
71014304455210
oct152441547522
940823584800
1014303022930
11607a757909
122932078416
13146c3278a1
14999835cb0
1558aa3cac0
hex35486cf52

14303022930 has 160 divisors (see below), whose sum is σ = 46539225216. Its totient is φ = 3076932096.

The previous prime is 14303022889. The next prime is 14303022931. The reversal of 14303022930 is 3922030341.

It is a happy number.

14303022930 is a `hidden beast` number, since 1 + 430 + 3 + 0 + 229 + 3 + 0 = 666.

14303022930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143030229302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14303022894 and 14303022903.

It is not an unprimeable number, because it can be changed into a prime (14303022931) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 22197 + ... + 170583.

Almost surely, 214303022930 is an apocalyptic number.

14303022930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14303022930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23269612608).

14303022930 is an abundant number, since it is smaller than the sum of its proper divisors (32236202286).

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

14303022930 is a wasteful number, since it uses less digits than its factorization.

14303022930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148430 (or 148421 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 14303022930 in words is "fourteen billion, three hundred three million, twenty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 81 85 90 102 105 119 126 135 153 162 170 189 210 238 255 270 306 315 357 378 405 459 510 567 595 630 714 765 810 918 945 1071 1134 1190 1377 1530 1785 1890 2142 2295 2754 2835 3213 3570 4590 5355 5670 6426 6885 9639 10710 13770 16065 19278 32130 48195 96390 148387 296774 445161 741935 890322 1038709 1335483 1483870 2077418 2225805 2522579 2670966 3116127 4006449 4451610 5045158 5193545 6232254 6677415 7567737 8012898 9348381 10387090 12019347 12612895 13354830 15135474 15580635 17658053 18696762 20032245 22703211 24038694 25225790 28045143 31161270 35316106 37838685 40064490 45406422 46741905 52974159 56090286 60096735 68109633 75677370 84135429 88290265 93483810 105948318 113516055 120193470 136219266 140225715 158922477 168270858 176580530 204328899 227032110 264870795 280451430 317844954 340548165 408657798 420677145 476767431 529741590 681096330 794612385 841354290 953534862 1021644495 1430302293 1589224770 2043288990 2383837155 2860604586 4767674310 7151511465 14303022930