Search a number
-
+
14063274744 = 233233179101103
BaseRepresentation
bin11010001100011110…
…01000101011111000
31100022002112101012120
431012033020223320
5212300144242434
610243252441240
71005333602001
oct150617105370
940262471176
1014063274744
115a67396512
122885919220
13143176455c
14975a681a8
15574981349
hex3463c8af8

14063274744 has 256 divisors, whose sum is σ = 39105331200. Its totient is φ = 4200768000.

The previous prime is 14063274737. The next prime is 14063274749. The reversal of 14063274744 is 44747236041.

14063274744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14063274696 and 14063274705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14063274749) 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, 136536597 + ... + 136536699.

It is an arithmetic number, because the mean of its divisors is an integer number (152755200).

Almost surely, 214063274744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14063274744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19552665600).

14063274744 is an abundant number, since it is smaller than the sum of its proper divisors (25042056456).

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

14063274744 is a wasteful number, since it uses less digits than its factorization.

14063274744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 14063274744 in words is "fourteen billion, sixty-three million, two hundred seventy-four thousand, seven hundred forty-four".