Search a number
-
+
14044163616 = 253572293141
BaseRepresentation
bin11010001010001100…
…01110111000100000
31100020202120102200000
431011012032320200
5212230301213431
610241331100000
71005012264300
oct150506167040
940222512600
1014044163616
115a57622a9a
12287b441600
13142a8028b2
149732d1600
15572e589e6
hex34518ee20

14044163616 has 864 divisors, whose sum is σ = 52703239680. Its totient is φ = 3657830400.

The previous prime is 14044163563. The next prime is 14044163621. The reversal of 14044163616 is 61636144041.

14044163616 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 4 + 1 + 636 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 342540556 + ... + 342540596.

It is an arithmetic number, because the mean of its divisors is an integer number (60999120).

Almost surely, 214044163616 is an apocalyptic number.

14044163616 is a gapful number since it is divisible by the number (16) 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 14044163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26351619840).

14044163616 is an abundant number, since it is smaller than the sum of its proper divisors (38659076064).

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

14044163616 is a wasteful number, since it uses less digits than its factorization.

14044163616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14044163616 in words is "fourteen billion, forty-four million, one hundred sixty-three thousand, six hundred sixteen".