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2144271360 = 21035731137
BaseRepresentation
bin111111111001110…
…1111110000000000
312112102211021022210
41333303233300000
513342413140420
6552435102120
7104065002000
oct17763576000
95472737283
102144271360
11a004268a0
124ba141940
1328231b92a
14164ad2000
15c83ae9e0
hex7fcefc00

2144271360 has 704 divisors, whose sum is σ = 8960947200. Its totient is φ = 433520640.

The previous prime is 2144271331. The next prime is 2144271373. The reversal of 2144271360 is 631724412.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57953262 + ... + 57953298.

Almost surely, 22144271360 is an apocalyptic number.

2144271360 is a gapful number since it is divisible by the number (20) 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 2144271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480473600).

2144271360 is an abundant number, since it is smaller than the sum of its proper divisors (6816675840).

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

2144271360 is a wasteful number, since it uses less digits than its factorization.

2144271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2144271360 is about 46306.2777601482. The cubic root of 2144271360 is about 1289.5155443052.

Adding to 2144271360 its reverse (631724412), we get a palindrome (2775995772).

The spelling of 2144271360 in words is "two billion, one hundred forty-four million, two hundred seventy-one thousand, three hundred sixty".