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14242430310 = 2357114474621
BaseRepresentation
bin11010100001110101…
…00011110101100110
31100202120122102102220
431100322203311212
5213132030232220
610313132413210
71012640442303
oct152072436546
940676572386
1014242430310
116049531769
122915917206
13145c900c74
149917820aa
1558556e540
hex350ea3d66

14242430310 has 64 divisors (see below), whose sum is σ = 34694728704. Its totient is φ = 3741091200.

The previous prime is 14242430303. The next prime is 14242430393. The reversal of 14242430310 is 1303424241.

It is a super-2 number, since 2×142424303102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3079800 + ... + 3084420.

It is an arithmetic number, because the mean of its divisors is an integer number (542105136).

Almost surely, 214242430310 is an apocalyptic number.

14242430310 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 14242430310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17347364352).

14242430310 is an abundant number, since it is smaller than the sum of its proper divisors (20452298394).

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

14242430310 is a wasteful number, since it uses less digits than its factorization.

14242430310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6149.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14242430310 its reverse (1303424241), we get a palindrome (15545854551).

The spelling of 14242430310 in words is "fourteen billion, two hundred forty-two million, four hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1065 1447 2130 2894 4341 4621 7235 8682 9242 13863 14470 21705 23105 27726 43410 46210 69315 102737 138630 205474 308211 328091 513685 616422 656182 984273 1027370 1541055 1640455 1968546 3082110 3280910 4921365 6686587 9842730 13373174 20059761 33432935 40119522 66865870 100298805 200597610 474747677 949495354 1424243031 2373738385 2848486062 4747476770 7121215155 14242430310