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2400401144 = 2311313611951
BaseRepresentation
bin1000111100010011…
…0011011011111000
320012021210000100002
42033010303123320
514404000314034
61034104532132
7113325034031
oct21704633370
96167700302
102400401144
111021a669a9
1256ba81048
132c33c940b
1418ab25a88
15e0b04e7e
hex8f1336f8

2400401144 has 32 divisors (see below), whose sum is σ = 4546247040. Its totient is φ = 1188096000.

The previous prime is 2400401099. The next prime is 2400401149. The reversal of 2400401144 is 4411040042.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400401149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1229369 + ... + 1231319.

It is an arithmetic number, because the mean of its divisors is an integer number (142070220).

Almost surely, 22400401144 is an apocalyptic number.

It is an amenable number.

2400401144 is a deficient number, since it is larger than the sum of its proper divisors (2145845896).

2400401144 is a wasteful number, since it uses less digits than its factorization.

2400401144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2400401144 is about 48993.8888434058. Note that the first 4 decimals coincide. The cubic root of 2400401144 is about 1338.9404901786.

Adding to 2400401144 its reverse (4411040042), we get a palindrome (6811441186).

The spelling of 2400401144 in words is "two billion, four hundred million, four hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 8 113 226 452 904 1361 1951 2722 3902 5444 7804 10888 15608 153793 220463 307586 440926 615172 881852 1230344 1763704 2655311 5310622 10621244 21242488 300050143 600100286 1200200572 2400401144