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10434421134 = 234371740811
BaseRepresentation
bin10011011011111000…
…01010000110001110
3222221012012111220000
421231330022012032
5132332202434014
64443221505130
7516401054604
oct115574120616
928835174800
1010434421134
114474a60045
1220325721a6
13ca39c11b7
1470db27874
154110c0509
hex26df0a18e

10434421134 has 40 divisors (see below), whose sum is σ = 24012760728. Its totient is φ = 3384134640.

The previous prime is 10434421103. The next prime is 10434421139. The reversal of 10434421134 is 43112443401.

10434421134 is a `hidden beast` number, since 10 + 434 + 4 + 211 + 3 + 4 = 666.

10434421134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 10434421098 and 10434421107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434421139) 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 19 ways as a sum of consecutive naturals, for example, 864412 + ... + 876399.

Almost surely, 210434421134 is an apocalyptic number.

10434421134 is an abundant number, since it is smaller than the sum of its proper divisors (13578339594).

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

10434421134 is a wasteful number, since it uses less digits than its factorization.

10434421134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740862 (or 1740853 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10434421134 its reverse (43112443401), we get a palindrome (53546864535).

The spelling of 10434421134 in words is "ten billion, four hundred thirty-four million, four hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 666 999 1998 2997 5994 1740811 3481622 5222433 10444866 15667299 31334598 47001897 64410007 94003794 128820014 141005691 193230021 282011382 386460042 579690063 1159380126 1739070189 3478140378 5217210567 10434421134