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14241142410 = 23511471019091
BaseRepresentation
bin11010100001101011…
…01001011010001010
31100202111012222202220
431100311221122022
5213131213024120
610313045034510
71012623466425
oct152065513212
940674188686
1014241142410
116048832090
1229153b5a36
13145c56c9b1
149915289bc
155853b7b40
hex350d6968a

14241142410 has 128 divisors (see below), whose sum is σ = 38460469248. Its totient is φ = 3345120000.

The previous prime is 14241142381. The next prime is 14241142429. The reversal of 14241142410 is 1424114241.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1561965 + ... + 1571055.

It is an arithmetic number, because the mean of its divisors is an integer number (300472416).

Almost surely, 214241142410 is an apocalyptic number.

14241142410 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 14241142410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19230234624).

14241142410 is an abundant number, since it is smaller than the sum of its proper divisors (24219326838).

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

14241142410 is a wasteful number, since it uses less digits than its factorization.

14241142410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9260.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14241142410 its reverse (1424114241), we get a palindrome (15665256651).

It can be divided in two parts, 14241 and 142410, that added together give a palindrome (156651).

The spelling of 14241142410 in words is "fourteen billion, two hundred forty-one million, one hundred forty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 47 55 66 94 101 110 141 165 202 235 282 303 330 470 505 517 606 705 1010 1034 1111 1410 1515 1551 2222 2585 3030 3102 3333 4747 5170 5555 6666 7755 9091 9494 11110 14241 15510 16665 18182 23735 27273 28482 33330 45455 47470 52217 54546 71205 90910 100001 104434 136365 142410 156651 200002 261085 272730 300003 313302 427277 500005 522170 600006 783255 854554 918191 1000010 1281831 1500015 1566510 1836382 2136385 2563662 2754573 3000030 4272770 4590955 4700047 5509146 6409155 9181910 9400094 10100101 12818310 13772865 14100141 20200202 23500235 27545730 28200282 30300303 43154977 47000470 50500505 60600606 70500705 86309954 101001010 129464931 141001410 151501515 215774885 258929862 303003030 431549770 474704747 647324655 949409494 1294649310 1424114241 2373523735 2848228482 4747047470 7120571205 14241142410