Search a number
-
+
14104240000000 = 21057176303
BaseRepresentation
bin1100110100111110011000…
…1101110000110000000000
31211221100111201212121120021
43031033212031300300000
53322040440420000000
645555222020023224
72653666133625103
oct315174615606000
954840451777507
1014104240000000
114548635868517
1216b95b5531b14
137b4041005c17
1436a91267873a
15196d3c4b911a
hexcd3e6370c00

14104240000000 has 176 divisors, whose sum is σ = 35243492588928. Its totient is φ = 5641664000000.

The previous prime is 14104239999989. The next prime is 14104240000003. The reversal of 14104240000000 is 4240141.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14104240000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79911849 + ... + 80088151.

Almost surely, 214104240000000 is an apocalyptic number.

14104240000000 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 14104240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17621746294464).

14104240000000 is an abundant number, since it is smaller than the sum of its proper divisors (21139252588928).

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

14104240000000 is an frugal number, since it uses more digits than its factorization.

14104240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176358 (or 176310 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14104240000000 its reverse (4240141), we get a palindrome (14104244240141).

The spelling of 14104240000000 in words is "fourteen trillion, one hundred four billion, two hundred forty million", and thus it is an aban number.