Search a number
-
+
2144178240 = 263531109661
BaseRepresentation
bin111111111001101…
…1001000001000000
312112102122112120220
41333303121001000
513342402200430
6552433103040
7104064133341
oct17763310100
95472575526
102144178240
11a00372936
124ba0b7a80
132822b8429
14164aaa0c8
15c8392110
hex7fcd9040

2144178240 has 224 divisors, whose sum is σ = 7102571520. Its totient is φ = 547430400.

The previous prime is 2144178221. The next prime is 2144178251. The reversal of 2144178240 is 428714412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3243510 + ... + 3244170.

Almost surely, 22144178240 is an apocalyptic number.

2144178240 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 2144178240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551285760).

2144178240 is an abundant number, since it is smaller than the sum of its proper divisors (4958393280).

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

2144178240 is a wasteful number, since it uses less digits than its factorization.

2144178240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2144178240 is about 46305.2722700126. The cubic root of 2144178240 is about 1289.4968772920.

It can be divided in two parts, 21441 and 78240, that added together give a triangular number (99681 = T446).

The spelling of 2144178240 in words is "two billion, one hundred forty-four million, one hundred seventy-eight thousand, two hundred forty".