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14474480080 = 245180931001
BaseRepresentation
bin11010111101011111…
…10000100111010000
31101100202021202212211
431132233300213100
5214120431330310
610352142201504
71021456023244
oct153657604720
941322252784
1014474480080
116158515135
12297b583294
1314989ca218
149b4508424
1559ab09c8a
hex35ebf09d0

14474480080 has 20 divisors (see below), whose sum is σ = 33653166372. Its totient is φ = 5789792000.

The previous prime is 14474480071. The next prime is 14474480081. The reversal of 14474480080 is 8008447441.

It can be written as a sum of positive squares in 2 ways, for example, as 11545072704 + 2929407376 = 107448^2 + 54124^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14474480081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90465421 + ... + 90465580.

Almost surely, 214474480080 is an apocalyptic number.

14474480080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14474480080 is an abundant number, since it is smaller than the sum of its proper divisors (19178686292).

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

14474480080 is a wasteful number, since it uses less digits than its factorization.

14474480080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180931014 (or 180931008 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 40.

The spelling of 14474480080 in words is "fourteen billion, four hundred seventy-four million, four hundred eighty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 180931001 361862002 723724004 904655005 1447448008 1809310010 2894896016 3618620020 7237240040 14474480080