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14141412020 = 2251735140751
BaseRepresentation
bin11010010101110010…
…01101001010110100
31100111112120011101202
431022321031022310
5212430200141040
610255123312032
71010303006321
oct151271151264
940445504352
1014141412020
115aa750517a
1228a7b1b618
1314449c1b28
149821a7b48
1557b768015
hex34ae4d2b4

14141412020 has 24 divisors (see below), whose sum is σ = 29699405568. Its totient is φ = 5656100000.

The previous prime is 14141411993. The next prime is 14141412059. The reversal of 14141412020 is 2021414141.

14141412020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 14141411983 and 14141412001.

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 7 ways as a sum of consecutive naturals, for example, 326645 + ... + 367395.

It is an arithmetic number, because the mean of its divisors is an integer number (1237475232).

Almost surely, 214141412020 is an apocalyptic number.

14141412020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14141412020 is an abundant number, since it is smaller than the sum of its proper divisors (15557993548).

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

14141412020 is a wasteful number, since it uses less digits than its factorization.

14141412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58111 (or 58109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 14141412020 its reverse (2021414141), we get a palindrome (16162826161).

The spelling of 14141412020 in words is "fourteen billion, one hundred forty-one million, four hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 17351 34702 40751 69404 81502 86755 163004 173510 203755 347020 407510 815020 707070601 1414141202 2828282404 3535353005 7070706010 14141412020