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23214400041 = 371568370487
BaseRepresentation
bin10101100111101011…
…111010001000101001
32012220211222201011010
4111213223322020221
5340020341300131
614355313054133
71451163100410
oct254753721051
965824881133
1023214400041
119932a18388
1245ba557349
13225c6189b1
1411a317c477
1590d060b46
hex567afa229

23214400041 has 16 divisors (see below), whose sum is σ = 35377081344. Its totient is φ = 13264337424.

The previous prime is 23214400021. The next prime is 23214400049. The reversal of 23214400041 is 14000441232.

It is not a de Polignac number, because 23214400041 - 214 = 23214383657 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 23214399990 and 23214400017.

It is not an unprimeable number, because it can be changed into a prime (23214400049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294100 + ... + 364586.

It is an arithmetic number, because the mean of its divisors is an integer number (2211067584).

Almost surely, 223214400041 is an apocalyptic number.

23214400041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23214400041 is a deficient number, since it is larger than the sum of its proper divisors (12162681303).

23214400041 is a wasteful number, since it uses less digits than its factorization.

23214400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86180.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 23214400041 its reverse (14000441232), we get a palindrome (37214841273).

The spelling of 23214400041 in words is "twenty-three billion, two hundred fourteen million, four hundred thousand, forty-one".

Divisors: 1 3 7 21 15683 47049 70487 109781 211461 329343 493409 1480227 1105447621 3316342863 7738133347 23214400041