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12114420234 = 2372473132801
BaseRepresentation
bin10110100100001001…
…10110001000001010
31011021021102022101220
423102010312020022
5144302242421414
65322034022510
7606130605300
oct132204661012
934237368356
1012114420234
115157302254
122421117a36
1311b0a86ac7
1482ccc4270
154ad822ca9
hex2d213620a

12114420234 has 96 divisors (see below), whose sum is σ = 28886512896. Its totient is φ = 3375590400.

The previous prime is 12114420223. The next prime is 12114420259. The reversal of 12114420234 is 43202441121.

It is a super-3 number, since 3×121144202343 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4323634 + ... + 4326434.

It is an arithmetic number, because the mean of its divisors is an integer number (300901176).

Almost surely, 212114420234 is an apocalyptic number.

12114420234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12114420234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14443256448).

12114420234 is an abundant number, since it is smaller than the sum of its proper divisors (16772092662).

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

12114420234 is a wasteful number, since it uses less digits than its factorization.

12114420234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12114420234 its reverse (43202441121), we get a palindrome (55316861355).

The spelling of 12114420234 in words is "twelve billion, one hundred fourteen million, four hundred twenty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 313 329 626 658 939 987 1878 1974 2191 2303 2801 4382 4606 5602 6573 6909 8403 13146 13818 14711 15337 16806 19607 29422 30674 39214 44133 46011 58821 88266 92022 102977 117642 131647 137249 205954 263294 274498 308931 394941 411747 617862 720839 789882 823494 876713 921529 1441678 1753426 1843058 2162517 2630139 2764587 4325034 5260278 5529174 6136991 6450703 12273982 12901406 18410973 19352109 36821946 38704218 41205511 42958937 82411022 85917874 123616533 128876811 247233066 257753622 288438577 576877154 865315731 1730631462 2019070039 4038140078 6057210117 12114420234