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14110410020 = 2257834092969
BaseRepresentation
bin11010010010000101…
…11100010100100100
31100102101020002122112
431021002330110210
5212344231110040
610252055020152
71006445335430
oct151102742444
940371202575
1014110410020
115a90a5a993
12289966a658
13143b458a55
1497c0179c0
15578b92365
hex3490bc524

14110410020 has 96 divisors (see below), whose sum is σ = 34368364800. Its totient is φ = 4766275584.

The previous prime is 14110409993. The next prime is 14110410029. The reversal of 14110410020 is 2001401141.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 14110409977 and 14110410004.

It is not an unprimeable number, because it can be changed into a prime (14110410029) 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, 4751096 + ... + 4754064.

It is an arithmetic number, because the mean of its divisors is an integer number (358003800).

Almost surely, 214110410020 is an apocalyptic number.

14110410020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14110410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184182400).

14110410020 is an abundant number, since it is smaller than the sum of its proper divisors (20257954780).

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

14110410020 is a wasteful number, since it uses less digits than its factorization.

14110410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3477 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 14110410020 its reverse (2001401141), we get a palindrome (16111811161).

The spelling of 14110410020 in words is "fourteen billion, one hundred ten million, four hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 409 415 581 818 830 1162 1636 1660 2045 2324 2863 2905 2969 4090 5726 5810 5938 8180 11452 11620 11876 14315 14845 20783 28630 29690 33947 41566 57260 59380 67894 83132 103915 135788 169735 207830 237629 246427 339470 415660 475258 492854 678940 950516 985708 1188145 1214321 1232135 1724989 2376290 2428642 2464270 3449978 4752580 4857284 4928540 6071605 6899956 8500247 8624945 12143210 17000494 17249890 24286420 34000988 34499780 42501235 85002470 100788643 170004940 201577286 403154572 503943215 705520501 1007886430 1411041002 2015772860 2822082004 3527602505 7055205010 14110410020