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14034403040 = 2557174715683
BaseRepresentation
bin11010001001000001…
…11111111011100000
31100020002012112200012
431010200333323200
5212220301344130
610240341544052
71004533312640
oct150440777340
940202175605
1014034403040
115a520667a9
122878115028
131428795cc8
14971cb0520
1557217b995
hex34483fee0

14034403040 has 192 divisors, whose sum is σ = 40978151424. Its totient is φ = 4432109568.

The previous prime is 14034403013. The next prime is 14034403063. The reversal of 14034403040 is 4030443041.

14034403040 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-2 number, since 2×140344030402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14034402997 and 14034403015.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 887039 + ... + 902721.

It is an arithmetic number, because the mean of its divisors is an integer number (213427872).

Almost surely, 214034403040 is an apocalyptic number.

14034403040 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 14034403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489075712).

14034403040 is an abundant number, since it is smaller than the sum of its proper divisors (26943748384).

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

14034403040 is a wasteful number, since it uses less digits than its factorization.

14034403040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15769 (or 15761 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 14034403040 its reverse (4030443041), we get a palindrome (18064846081).

The spelling of 14034403040 in words is "fourteen billion, thirty-four million, four hundred three thousand, forty".