Search a number
-
+
434012300110134 = 23237676963996227
BaseRepresentation
bin110001010101110110101110…
…0111110011110100100110110
32002220201011121102110220121200
41202223231130332132210312
5423341324142312011014
64135022255334153330
7160263232251500244
oct14253553476364466
92086634542426550
10434012300110134
1111632064580a099
12408165a91b2846
1315823251b561b5
147926443753794
1535299c8b64a09
hex18abb5cf9e936

434012300110134 has 24 divisors (see below), whose sum is σ = 940362494118840. Its totient is φ = 144670380465408.

The previous prime is 434012300110127. The next prime is 434012300110231. The reversal of 434012300110134 is 431011003210434.

434012300110134 is a `hidden beast` number, since 4 + 3 + 401 + 230 + 0 + 1 + 10 + 13 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 434012300110098 and 434012300110107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25216272 + ... + 38779955.

It is an arithmetic number, because the mean of its divisors is an integer number (39181770588285).

Almost surely, 2434012300110134 is an apocalyptic number.

434012300110134 is an abundant number, since it is smaller than the sum of its proper divisors (506350194008706).

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

434012300110134 is a wasteful number, since it uses less digits than its factorization.

434012300110134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64373004 (or 64373001 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 434012300110134 its reverse (431011003210434), we get a palindrome (865023303320568).

The spelling of 434012300110134 in words is "four hundred thirty-four trillion, twelve billion, three hundred million, one hundred ten thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 376769 753538 1130307 2260614 3390921 6781842 63996227 127992454 191988681 383977362 575966043 1151932086 24111794450563 48223588901126 72335383351689 144670766703378 217006150055067 434012300110134