Search a number
-
+
14474948544 = 2632731115807
BaseRepresentation
bin11010111101100011…
…00010111111000000
31101100210011120111100
431132301202333000
5214121041323134
610352200214400
71021463014110
oct153661427700
941323146440
1014474948544
1161588050a1
12297b76a400
131498b32514
149b45cb040
1559ab9d999
hex35ec62fc0

14474948544 has 168 divisors, whose sum is σ = 48946946048. Its totient is φ = 4002255360.

The previous prime is 14474948531. The next prime is 14474948633. The reversal of 14474948544 is 44584947441.

14474948544 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 4 + 94 + 8 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67089 + ... + 182895.

Almost surely, 214474948544 is an apocalyptic number.

14474948544 is a gapful number since it is divisible by the number (14) 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 14474948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24473473024).

14474948544 is an abundant number, since it is smaller than the sum of its proper divisors (34471997504).

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

14474948544 is a wasteful number, since it uses less digits than its factorization.

14474948544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115863 (or 115850 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 14474948544 in words is "fourteen billion, four hundred seventy-four million, nine hundred forty-eight thousand, five hundred forty-four".