Search a number
-
+
2400144066 = 232711878047
BaseRepresentation
bin1000111100001111…
…0100101011000010
320012021021221200200
42033003310223002
514403414102231
61034055230030
7113322613365
oct21703645302
96167257620
102400144066
111021900841
1256b978316
132c33393b8
1418aa9a0dc
15e0aa3be6
hex8f0f4ac2

2400144066 has 24 divisors (see below), whose sum is σ = 5273558784. Its totient is φ = 788779320.

The previous prime is 2400144053. The next prime is 2400144067. The reversal of 2400144066 is 6604410042.

2400144066 is a `hidden beast` number, since 240 + 0 + 14 + 406 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2400144067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 937746 + ... + 940301.

It is an arithmetic number, because the mean of its divisors is an integer number (219731616).

Almost surely, 22400144066 is an apocalyptic number.

2400144066 is an abundant number, since it is smaller than the sum of its proper divisors (2873414718).

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

2400144066 is a wasteful number, since it uses less digits than its factorization.

2400144066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878126 (or 1878123 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2400144066 is about 48991.2652010540. The cubic root of 2400144066 is about 1338.8926892193.

The spelling of 2400144066 in words is "two billion, four hundred million, one hundred forty-four thousand, sixty-six".

Divisors: 1 2 3 6 9 18 71 142 213 426 639 1278 1878047 3756094 5634141 11268282 16902423 33804846 133341337 266682674 400024011 800048022 1200072033 2400144066