Search a number
-
+
14800488127040 = 2657115231148507
BaseRepresentation
bin1101011101100000000111…
…0101100101101001000000
31221101220122110120010011102
43113120001311211221000
53414442344430031130
651251130025433532
73055204615226360
oct327300165455100
957356573503142
1014800488127040
114796940777460
1217b052563b8a8
138348ac089495
143924c15789a0
151a9edbeb0645
hexd7601d65a40

14800488127040 has 224 divisors, whose sum is σ = 44024204381184. Its totient is φ = 4604314613760.

The previous prime is 14800488127031. The next prime is 14800488127079. The reversal of 14800488127040 is 4072188400841.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12312467 + ... + 13460973.

Almost surely, 214800488127040 is an apocalyptic number.

14800488127040 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 14800488127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22012102190592).

14800488127040 is an abundant number, since it is smaller than the sum of its proper divisors (29223716254144).

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

14800488127040 is a wasteful number, since it uses less digits than its factorization.

14800488127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149065 (or 1149055 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 47.

The spelling of 14800488127040 in words is "fourteen trillion, eight hundred billion, four hundred eighty-eight million, one hundred twenty-seven thousand, forty".