Search a number
-
+
14124355110 = 23251447108457
BaseRepresentation
bin11010010011110000…
…01000111000100110
31100110100110120201100
431021320020320212
5212411313330420
610253313540530
71010005015605
oct151170107046
940410416640
1014124355110
115a98915058
1228a2274746
1314412cc198
1497dc07a3c
15579ee9190
hex349e08e26

14124355110 has 48 divisors (see below), whose sum is σ = 36749041056. Its totient is φ = 3763857024.

The previous prime is 14124355087. The next prime is 14124355117. The reversal of 14124355110 is 1155342141.

14124355110 is a `hidden beast` number, since 141 + 2 + 4 + 3 + 5 + 511 + 0 = 666.

It is a super-2 number, since 2×141243551102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14124355117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76002 + ... + 184458.

It is an arithmetic number, because the mean of its divisors is an integer number (765605022).

Almost surely, 214124355110 is an apocalyptic number.

14124355110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14124355110 is an abundant number, since it is smaller than the sum of its proper divisors (22624685946).

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

14124355110 is a wasteful number, since it uses less digits than its factorization.

14124355110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109917 (or 109914 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 14124355110 its reverse (1155342141), we get a palindrome (15279697251).

The spelling of 14124355110 in words is "fourteen billion, one hundred twenty-four million, three hundred fifty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1447 2894 4341 7235 8682 13023 14470 21705 26046 43410 65115 108457 130230 216914 325371 542285 650742 976113 1084570 1626855 1952226 3253710 4880565 9761130 156937279 313874558 470811837 784686395 941623674 1412435511 1569372790 2354059185 2824871022 4708118370 7062177555 14124355110