Search a number
-
+
434424101121 = 3372722131749
BaseRepresentation
bin1100101001001011011…
…00011011100100000001
31112112022202120220012000
412110211230123210001
524104200032213441
6531323252054213
743246301634603
oct6244554334401
91475282526160
10434424101121
1115826909704a
127023b904369
1331c7345444a
1417051ddb173
15b478b1c2b6
hex6525b1b901

434424101121 has 16 divisors (see below), whose sum is σ = 644476560000. Its totient is φ = 289217682864.

The previous prime is 434424101047. The next prime is 434424101123. The reversal of 434424101121 is 121101424434.

434424101121 is a `hidden beast` number, since 434 + 4 + 2 + 4 + 101 + 121 = 666.

It is not a de Polignac number, because 434424101121 - 217 = 434423970049 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (434424101123) 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 15 ways as a sum of consecutive naturals, for example, 11046246 + ... + 11085503.

It is an arithmetic number, because the mean of its divisors is an integer number (40279785000).

Almost surely, 2434424101121 is an apocalyptic number.

It is an amenable number.

434424101121 is a deficient number, since it is larger than the sum of its proper divisors (210052458879).

434424101121 is a wasteful number, since it uses less digits than its factorization.

434424101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22132485 (or 22132479 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 434424101121 its reverse (121101424434), we get a palindrome (555525525555).

The spelling of 434424101121 in words is "four hundred thirty-four billion, four hundred twenty-four million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 27 727 2181 6543 19629 22131749 66395247 199185741 597557223 16089781523 48269344569 144808033707 434424101121