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14042351000 = 2353232937569
BaseRepresentation
bin11010001001111110…
…10100010110011000
31100020122011100020002
431010333110112120
5212224320213000
610241224152132
71004661004556
oct150477242630
940218140202
1014042351000
115a565a5167
12287a908648
13142a319842
14972d7cbd6
15572beb8d5
hex344fd4598

14042351000 has 256 divisors, whose sum is σ = 36492768000. Its totient is φ = 5038387200.

The previous prime is 14042350939. The next prime is 14042351003. The reversal of 14042351000 is 15324041.

14042351000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×140423510003 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14042351003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24678716 + ... + 24679284.

It is an arithmetic number, because the mean of its divisors is an integer number (142549875).

Almost surely, 214042351000 is an apocalyptic number.

14042351000 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 14042351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18246384000).

14042351000 is an abundant number, since it is smaller than the sum of its proper divisors (22450417000).

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

14042351000 is a wasteful number, since it uses less digits than its factorization.

14042351000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 14042351000 its reverse (15324041), we get a palindrome (14057675041).

The spelling of 14042351000 in words is "fourteen billion, forty-two million, three hundred fifty-one thousand".