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12432343230 = 2325318775081
BaseRepresentation
bin10111001010000011…
…01000000010111110
31012002102122110202200
423211001220002332
5200430134440410
65413352132330
7620041113426
oct134501500276
935072573680
1012432343230
1152aa80852a
1224ab6970a6
1312318bb818
1485d201486
154cb6c23c0
hex2e50680be

12432343230 has 96 divisors (see below), whose sum is σ = 33411426048. Its totient is φ = 3204057600.

The previous prime is 12432343229. The next prime is 12432343241. The reversal of 12432343230 is 3234323421.

12432343230 is a `hidden beast` number, since 12 + 4 + 323 + 4 + 323 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12432343194 and 12432343203.

It is a congruent 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, 2444290 + ... + 2449370.

It is an arithmetic number, because the mean of its divisors is an integer number (348035688).

Almost surely, 212432343230 is an apocalyptic number.

12432343230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12432343230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16705713024).

12432343230 is an abundant number, since it is smaller than the sum of its proper divisors (20979082818).

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

12432343230 is a wasteful number, since it uses less digits than its factorization.

12432343230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6002 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 12432343230 its reverse (3234323421), we get a palindrome (15666666651).

The spelling of 12432343230 in words is "twelve billion, four hundred thirty-two million, three hundred forty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 877 930 1395 1754 2631 2790 4385 5081 5262 7893 8770 10162 13155 15243 15786 25405 26310 27187 30486 39465 45729 50810 54374 76215 78930 81561 91458 135935 152430 157511 163122 228645 244683 271870 315022 407805 457290 472533 489366 787555 815610 945066 1223415 1417599 1575110 2362665 2446830 2835198 4456037 4725330 7087995 8912074 13368111 14175990 22280185 26736222 40104333 44560370 66840555 80208666 133681110 138137147 200521665 276274294 401043330 414411441 690685735 828822882 1243234323 1381371470 2072057205 2486468646 4144114410 6216171615 12432343230