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14110768830 = 2356738918047
BaseRepresentation
bin11010010010001000…
…10011111010111110
31100102101220022211210
431021010103322332
5212344324100310
610252110425250
71006451361504
oct151104237276
940371808753
1014110768830
115a91185524
122899802226
13143b553172
1497c0ac674
15578c13820
hex349113ebe

14110768830 has 64 divisors (see below), whose sum is σ = 34461573120. Its totient is φ = 3696975744.

The previous prime is 14110768799. The next prime is 14110768831. The reversal of 14110768830 is 3886701141.

14110768830 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×141107688302 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14110768831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 772867 + ... + 790913.

It is an arithmetic number, because the mean of its divisors is an integer number (538462080).

Almost surely, 214110768830 is an apocalyptic number.

14110768830 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 14110768830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230786560).

14110768830 is an abundant number, since it is smaller than the sum of its proper divisors (20350804290).

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

14110768830 is a wasteful number, since it uses less digits than its factorization.

14110768830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18513.

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 14110768830 in words is "fourteen billion, one hundred ten million, seven hundred sixty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 389 402 670 778 1005 1167 1945 2010 2334 3890 5835 11670 18047 26063 36094 52126 54141 78189 90235 108282 130315 156378 180470 260630 270705 390945 541410 781890 1209149 2418298 3627447 6045745 7020283 7254894 12091490 14040566 18137235 21060849 35101415 36274470 42121698 70202830 105304245 210608490 470358961 940717922 1411076883 2351794805 2822153766 4703589610 7055384415 14110768830