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12241040434 = 27171961199223
BaseRepresentation
bin10110110011001111…
…10111010000110010
31011121002200021122221
423121213313100302
5200032201243214
65342355551254
7612226061350
oct133147672062
934532607587
1012241040434
115211825947
1224575bb52a
13120108b0bc
14841a447d0
154b99d4e24
hex2d99f7432

12241040434 has 128 divisors (see below), whose sum is σ = 23998464000. Its totient is φ = 4557358080.

The previous prime is 12241040419. The next prime is 12241040477. The reversal of 12241040434 is 43404014221.

It is a super-4 number, since 4×122410404344 (a number of 41 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12241040399 and 12241040408.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 54892447 + ... + 54892669.

It is an arithmetic number, because the mean of its divisors is an integer number (187488000).

Almost surely, 212241040434 is an apocalyptic number.

12241040434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12241040434 is a deficient number, since it is larger than the sum of its proper divisors (11757423566).

12241040434 is a wasteful number, since it uses less digits than its factorization.

12241040434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12241040434 its reverse (43404014221), we get a palindrome (55645054655).

The spelling of 12241040434 in words is "twelve billion, two hundred forty-one million, forty thousand, four hundred thirty-four".

Divisors: 1 2 7 14 17 19 34 38 61 119 122 133 199 223 238 266 323 398 427 446 646 854 1037 1159 1393 1561 2074 2261 2318 2786 3122 3383 3781 3791 4237 4522 6766 7259 7562 7582 8113 8474 12139 13603 14518 16226 19703 23681 24278 26467 26537 27206 29659 39406 44377 47362 52934 53074 59318 64277 72029 84973 88754 95221 128554 137921 144058 169946 190442 206363 230641 231251 258457 275842 310639 412726 449939 461282 462502 504203 516914 621278 754409 843163 899878 1008406 1444541 1508818 1614487 1618757 1686326 1809199 2706997 2889082 3228974 3237514 3618398 3920897 4393769 5280863 5413994 5902141 7841794 8787538 10561726 11804282 14333771 18948979 27446279 28667542 30756383 37897958 46018949 51432943 54892558 61512766 92037898 100336397 102865886 200672794 322132643 360030601 644265286 720061202 874360031 1748720062 6120520217 12241040434