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2144404548 = 2232111317107229
BaseRepresentation
bin111111111010001…
…0000010001000100
312112110002001000200
41333310100101010
513342431421143
6552442010500
7104066065206
oct17764202104
95473061020
102144404548
11a00507970
124ba1a6a30
13282367440
14164b28776
15c83d91d3
hex7fd10444

2144404548 has 288 divisors, whose sum is σ = 6835570560. Its totient is φ = 556830720.

The previous prime is 2144404547. The next prime is 2144404579. The reversal of 2144404548 is 8454044412.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2144404547) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9364098 + ... + 9364326.

It is an arithmetic number, because the mean of its divisors is an integer number (23734620).

Almost surely, 22144404548 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144404548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3417785280).

2144404548 is an abundant number, since it is smaller than the sum of its proper divisors (4691166012).

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

2144404548 is a wasteful number, since it uses less digits than its factorization.

2144404548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

The square root of 2144404548 is about 46307.7158581591. The cubic root of 2144404548 is about 1289.5422424872.

The spelling of 2144404548 in words is "two billion, one hundred forty-four million, four hundred four thousand, five hundred forty-eight".