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14240342120 = 2352925574801
BaseRepresentation
bin11010100001100101…
…00110000001101000
31100202102201022222112
431100302212001220
5213131011421440
610313015541452
71012613624264
oct152062460150
940672638875
1014240342120
116048335894
12291508a888
13145c34c654
1499139b0a4
155852aa965
hex350ca6068

14240342120 has 64 divisors (see below), whose sum is σ = 33165493200. Its totient is φ = 5496422400.

The previous prime is 14240342099. The next prime is 14240342161. The reversal of 14240342120 is 2124304241.

It can be written as a sum of positive squares in 8 ways, for example, as 6333931396 + 7906410724 = 79586^2 + 88918^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2963720 + ... + 2968520.

Almost surely, 214240342120 is an apocalyptic number.

14240342120 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 14240342120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582746600).

14240342120 is an abundant number, since it is smaller than the sum of its proper divisors (18925151080).

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

14240342120 is a wasteful number, since it uses less digits than its factorization.

14240342120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7398 (or 7394 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 14240342120 its reverse (2124304241), we get a palindrome (16364646361).

The spelling of 14240342120 in words is "fourteen billion, two hundred forty million, three hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 2557 4801 5114 9602 10228 12785 19204 20456 24005 25570 38408 48010 51140 74153 96020 102280 139229 148306 192040 278458 296612 370765 556916 593224 696145 741530 1113832 1392290 1483060 2784580 2966120 5569160 12276157 24552314 49104628 61380785 98209256 122761570 245523140 356008553 491046280 712017106 1424034212 1780042765 2848068424 3560085530 7120171060 14240342120