Search a number
-
+
14134144310 = 2511213269119
BaseRepresentation
bin11010010100111010…
…11110110100110110
31100111000212220222022
431022131132310312
5212421320104220
610254303433142
71010154146546
oct151235366466
940430786868
1014134144310
115aa33a0900
1228a55b57b2
131443348b00
14981235326
1557acce925
hex34a75ed36

14134144310 has 72 divisors (see below), whose sum is σ = 30281610240. Its totient is φ = 4744259520.

The previous prime is 14134144279. The next prime is 14134144351. The reversal of 14134144310 is 1344143141.

It is a happy number.

It is a super-2 number, since 2×141341443102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 14134144310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169931 + ... + 239049.

It is an arithmetic number, because the mean of its divisors is an integer number (420577920).

Almost surely, 214134144310 is an apocalyptic number.

14134144310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14134144310 is an abundant number, since it is smaller than the sum of its proper divisors (16147465930).

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

14134144310 is a wasteful number, since it uses less digits than its factorization.

14134144310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69174 (or 69150 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 14134144310 its reverse (1344143141), we get a palindrome (15478287451).

The spelling of 14134144310 in words is "fourteen billion, one hundred thirty-four million, one hundred forty-four thousand, three hundred ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 121 130 143 169 242 286 338 605 715 845 1210 1430 1573 1690 1859 3146 3718 7865 9295 15730 18590 20449 40898 69119 102245 138238 204490 345595 691190 760309 898547 1520618 1797094 3801545 4492735 7603090 8363399 8985470 9884017 11681111 16726798 19768034 23362222 41816995 49420085 58405555 83633990 98840170 108724187 116811110 128492221 217448374 256984442 543620935 642461105 1087241870 1284922210 1413414431 2826828862 7067072155 14134144310