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23144240133 = 337433282809
BaseRepresentation
bin10101100011100000…
…010001010000000101
32012201221222012212000
4111203200101100011
5334344411141013
614344325215513
71446351536520
oct254340212005
965657865760
1023144240133
1198a7358193
12459ab61599
13224ac22461
141197b17bb7
15906d02973
hex563811405

23144240133 has 32 divisors (see below), whose sum is σ = 39276652800. Its totient is φ = 13194690048.

The previous prime is 23144240129. The next prime is 23144240201. The reversal of 23144240133 is 33104244132.

23144240133 is a `hidden beast` number, since 231 + 4 + 424 + 0 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 23144240133 - 22 = 23144240129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23144240097 and 23144240106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23144240533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59568 + ... + 223241.

It is an arithmetic number, because the mean of its divisors is an integer number (1227395400).

Almost surely, 223144240133 is an apocalyptic number.

It is an amenable number.

23144240133 is a deficient number, since it is larger than the sum of its proper divisors (16132412667).

23144240133 is a wasteful number, since it uses less digits than its factorization.

23144240133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283258 (or 283252 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23144240133 its reverse (33104244132), we get a palindrome (56248484265).

The spelling of 23144240133 in words is "twenty-three billion, one hundred forty-four million, two hundred forty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 433 1299 3031 3897 9093 11691 27279 81837 282809 848427 1979663 2545281 5938989 7635843 17816967 53450901 122456297 367368891 857194079 1102106673 2571582237 3306320019 7714746711 23144240133