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14099892480 = 2833517103233
BaseRepresentation
bin11010010000110101…
…10100100100000000
31100101122102202022000
431020122310210000
5212334033024410
610251041344000
71006260052152
oct151032644400
940348382260
1014099892480
115a86026a03
122896038000
13143921575b
1497a87aad2
15577cb5dc0
hex3486b4900

14099892480 has 576 divisors, whose sum is σ = 53722206720. Its totient is φ = 3489398784.

The previous prime is 14099892467. The next prime is 14099892487. The reversal of 14099892480 is 8429899041.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (14099892487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60514444 + ... + 60514676.

It is an arithmetic number, because the mean of its divisors is an integer number (93267720).

Almost surely, 214099892480 is an apocalyptic number.

14099892480 is a gapful number since it is divisible by the number (10) 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 14099892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26861103360).

14099892480 is an abundant number, since it is smaller than the sum of its proper divisors (39622314240).

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

14099892480 is a wasteful number, since it uses less digits than its factorization.

14099892480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 14099892480 in words is "fourteen billion, ninety-nine million, eight hundred ninety-two thousand, four hundred eighty".