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434241142434 = 2321128330725243
BaseRepresentation
bin1100101000110101100…
…10011111111010100010
31112111212000022122001100
412110122302133322202
524103311213024214
6531253154415230
743241620544421
oct6243262377242
91474760278040
10434241142434
11158184893520
12701aa591516
1331c44585978
14170359b32b8
15b467a2c309
hex651ac9fea2

434241142434 has 96 divisors (see below), whose sum is σ = 1033411002624. Its totient is φ = 130690959840.

The previous prime is 434241142429. The next prime is 434241142469.

434241142434 is a `hidden beast` number, since 4 + 3 + 42 + 41 + 142 + 434 = 666.

434241142434 is nontrivially palindromic in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17189817 + ... + 17215059.

It is an arithmetic number, because the mean of its divisors is an integer number (10764697944).

Almost surely, 2434241142434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434241142434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516705501312).

434241142434 is an abundant number, since it is smaller than the sum of its proper divisors (599169860190).

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

434241142434 is a wasteful number, since it uses less digits than its factorization.

434241142434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25852 (or 25849 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 434241 and 142434, that added together give a palindrome (576675).

The spelling of 434241142434 in words is "four hundred thirty-four billion, two hundred forty-one million, one hundred forty-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 283 307 566 614 849 921 1698 1842 2547 2763 3113 3377 5094 5526 6226 6754 9339 10131 18678 20262 25243 28017 30393 50486 56034 60786 75729 86881 151458 173762 227187 260643 277673 454374 521286 555346 781929 833019 955691 1563858 1666038 1911382 2499057 2867073 4998114 5734146 7143769 7749601 8601219 14287538 15499202 17202438 21431307 23248803 42862614 46497606 64293921 69746409 78581459 85245611 128587842 139492818 157162918 170491222 235744377 255736833 471488754 511473666 707233131 767210499 1414466262 1534420998 2193137083 4386274166 6579411249 13158822498 19738233747 24124507913 39476467494 48249015826 72373523739 144747047478 217120571217 434241142434