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14083974450 = 2325273137019
BaseRepresentation
bin11010001110111100…
…00110010100110010
31100100112111000212100
431013132012110302
5212320444140300
610245312241230
71006004544000
oct150736062462
940315430770
1014083974450
115a78044507
122890840216
131435b312c0
149786d5a70
155766be700
hex347786532

14083974450 has 288 divisors, whose sum is σ = 47528208000. Its totient is φ = 2971140480.

The previous prime is 14083974431. The next prime is 14083974481. The reversal of 14083974450 is 5447938041.

14083974450 is a `hidden beast` number, since 1 + 40 + 83 + 97 + 445 + 0 = 666.

14083974450 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 (45).

It is a junction number, because it is equal to n+sod(n) for n = 14083974396 and 14083974405.

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 143 ways as a sum of consecutive naturals, for example, 2003041 + ... + 2010059.

It is an arithmetic number, because the mean of its divisors is an integer number (165028500).

Almost surely, 214083974450 is an apocalyptic number.

14083974450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14083974450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764104000).

14083974450 is an abundant number, since it is smaller than the sum of its proper divisors (33444233550).

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

14083974450 is a wasteful number, since it uses less digits than its factorization.

14083974450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7071 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 14083974450 in words is "fourteen billion, eighty-three million, nine hundred seventy-four thousand, four hundred fifty".