Search a number
-
+
14497921728 = 263419261127
BaseRepresentation
bin11011000000010010…
…01011101011000000
31101102101101201210000
431200021023223000
5214142431443403
610354340440000
71022162205243
oct154011135300
941371351700
1014497921728
11616a7761a4
1229873a9000
1314a0817014
149b768b25a
1559cbda7a3
hex36024bac0

14497921728 has 420 divisors, whose sum is σ = 46463907072. Its totient is φ = 4467778560.

The previous prime is 14497921723. The next prime is 14497921741. The reversal of 14497921728 is 82712979441.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14497921721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 114156801 + ... + 114156927.

Almost surely, 214497921728 is an apocalyptic number.

14497921728 is a gapful number since it is divisible by the number (18) 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 14497921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23231953536).

14497921728 is an abundant number, since it is smaller than the sum of its proper divisors (31965985344).

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

14497921728 is a wasteful number, since it uses less digits than its factorization.

14497921728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 212 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 14497921728 in words is "fourteen billion, four hundred ninety-seven million, nine hundred twenty-one thousand, seven hundred twenty-eight".